Abstract
The free drying shrinkage of wood is critical for dimensional stability and industrial applications. This study reviews the influencing factors (drying parameters, environmental conditions, and anatomical structures) and summarizes evaluation indexes and measurement methods. However, current research exhibits significant limitations. Systematic comparisons of free drying shrinkage between softwoods and hardwoods have been lacking, and the mechanism by which internal moisture variations affect shrinkage have remained unclear. Furthermore, existing techniques have failed to simultaneously measure moisture content changes and shrinkage with high accuracy. To address these gaps, future studies should: 1) investigate species-specific free drying shrinkage conditions; 2) elucidate moisture-induced shrinkage mechanisms from macro- and micro-scale perspectives; and 3) develop high-resolution methods for synchronous measurements. Further industrial applications of these findings could optimize wood drying processes and advance wood science and processing technologies.
Download PDF
Full Article
Free Drying Shrinkage of Wood: A Review
Mingyang Zhao and Lin Yang *
The free drying shrinkage of wood is critical for dimensional stability and industrial applications. This study reviews the influencing factors (drying parameters, environmental conditions, and anatomical structures) and summarizes evaluation indexes and measurement methods. However, current research exhibits significant limitations. Systematic comparisons of free drying shrinkage between softwoods and hardwoods have been lacking, and the mechanism by which internal moisture variations affect shrinkage have remained unclear. Furthermore, existing techniques have failed to simultaneously measure moisture content changes and shrinkage with high accuracy. To address these gaps, future studies should: 1) investigate species-specific free drying shrinkage conditions; 2) elucidate moisture-induced shrinkage mechanisms from macro- and micro-scale perspectives; and 3) develop high-resolution methods for synchronous measurements. Further industrial applications of these findings could optimize wood drying processes and advance wood science and processing technologies.
DOI: 10.15376/biores.20.3.Zhao
Keywords: Wood drying; Wood drying shrinkage; Free drying shrinkage
Contact information: College of Furnishings and Industrial Design, Nanjing Forestry University, Nanjing, 210037, China; *Corresponding author: yanglin@njfu.edu.cn
INTRODUCTION
Wood is an environmentally friendly natural material. It is widely used in household and building products due to its ease of processing and wide range of applications. However, as a natural biomaterial, it is susceptible to microbial degradation by fungi and other microorganisms, as well as factors such as light and relative humidity in the environment. These factors can lead to dimensional changes in untreated wood, resulting in irregular deformation (Wang and Sun 2022). In precision woodworking, natural wood is very susceptible to drying temperature, humidity and other external influences caused by changes in moisture content and thus produce dry shrinkage and wet expansion. These dimensional changes can lead to deformation and cracking of the material, which can affect the subsequent use, making it necessary to employ drying treatment to improve the utilization of wood (Zhang et al. 2023). The anisotropy of the wood structure and the uneven distribution of moisture content in the drying process often leads to drying stress (Fu et al. 2021). One common approach to manage this stress is by using clamps, which physically restrain the wood to control its dimensional changes. For example, clamps can be strategically placed to prevent excessive shrinkage in specific directions, ensuring that the final product meets the required specifications. However, such constraints contrast with the concept of free drying shrinkage.
Before delving deeper, it is essential to clarify two key concepts. Free drying shrinkage refers to the shrinkage of wood that occurs under unconstrained conditions as it loses water. This phenomenon serves as a crucial foundation for the drying rheology of wood and holds significant importance in wood research. Studies have been carried out to reveal fundamental shrinkage characteristics of wood resulting from water loss without external restrictions (Listyanto et al. 2013; Liu et al. 2023; Zhang et al. 2025), providing a basis for understanding the complex viscoelastic and plastic changes during the drying process (Zhan et al. 2009b; Chai et al. 2024a,b). ‘Ideal free drying’ is a theoretical process, characterized by a sufficiently slow drying rate, whereby the moisture gradient within the wood approaches zero. Due to the influence of various factors in practical experiments, it is difficult to fully achieve this ideal process. As will be described in this article, experimental conditions can be set up in various ways to as to mimic ideal free drying. By comparing real-world drying scenarios—where clamps or other constraints are applied—to the concept of ideal free drying, researchers can better understand the impact of external forces on wood behavior. Through the study of free drying shrinkage, it is possible to optimize the drying process parameters, control the stress and strain of wood, prevent cracking and deformation, and improve the drying quality. Moreover, it can assist in predicting the properties of wood after drying, offering a reference for wood processing, facilitating the development of new treatment technologies, expanding the application fields of wood, and enhancing the added value and market competitiveness of wood (Lv et al. 2005).
RESTRICTED DRYING OF WOOD
Wood drying shrinkage refers to the phenomenon of wet wood shrinking in size and volume due to drying, which only occurs when the Moisture Content (MC) of wood is below the Fiber Saturation Point (FSP). This is when the evaporation of free water from the surface of the wood ends, and the water adsorbed within the cell walls begins to evaporate. As a consequence, the wood shrinks, and the effect increases with the decrease of MC (Ozyhar et al. 2013). Various types of wood have different drying capacities, even in the same piece of wood, due to the presence of wood anisotropy and MC gradients. Thus, internal stresses develop during the course of the drying process. Generally, the outer layer will experience a pre-drying tensile stress, which later becomes a compressive stress. Meanwhile, the inner layer changes from a state of pre-pressure stress to tensile stress, triggering a large drying shrinkage differences in different directions between different layers (Zhan et al. 2005). Generally, longitudinal shrinkage (along the direction of the wood fibers) is the smallest, followed by the radial direction, then followed by tangential direction, which exhibits the largest shrinkage. The tangential direction shrinkage can be about two to three times higher than the radial direction (Zhang et al. 2020). Wood drying changes the wood size and volume. For small-size specimens without binding stress, the two changes should be reversible; for large-size specimens, due to the presence of drying stress, the wood experiences restricted drying, so it is not fully reversible. The effect of drying shrinkage on wood utilization is mainly the dimensional shrinkage of wood products, which can lead to gaps, warping deformation, and cracking (Jiang and Lv 2012).
When the moisture content of the wood surface layer drops below the FSP, the drying shrinkage phenomenon commences, and at this time the moisture content of the wood internal MC and the surface layer of the existence of a MC gradient, the internal MC is still higher than the FSP. Therefore, the drying shrinkage is small or has not yet manifested itself as a drying shrinkage phenomenon on the surface. In this way, it can play a role in inhibiting the internal stresses within the wood (Almeida and Hernández 2006). This drying phenomenon is known as the limited drying shrinkage (Liu et al. 2015).
FREE DRYING OF WOOD
Free drying shrinkage is a special state in wood drying shrinkage (Shen et al. 2020), when thin and small wood is dried under no external constraints. In that circumstance, the dimensional reduction produced by MC lower than FSP can be regarded as a process happening in the absence of an internal MC gradient and the absence of internal stresses. Thus, the dimensional shrinkage is produced only because of the reduction of MC (Tu et al. 2004), and the free drying shrinkage strain is directly proportional to the change of MC. However, this condition is highly idealized. In practical experiments, researchers strive to minimize internal stresses. Therefore, experimental protocols typically employ thin section specimens subjected to controlled low temperature drying to approximate these idealized stress-free conditions (Tu et al. 2009; Zhu et al. 2021; Liu et al. 2024).
Free Drying Mechanism
The wood structure from macroscopic to microscopic order can be expressed as the trunk→ heart sapwood→ growth rings→ early and latewood→ cells→ cell wall→ cell wall layers→ chemical components (Yin et al. 2023). When MC is higher than FSP and the free water in the cell lumen decreases, the dimensions of the wood do not change; when MC is lower than FSP, less water is adsorbed in the cell wall through hydrogen bonding with hydroxyl groups present (Fig. 1), and the resulting forces cause deformation of the microfibers (Thybring et al. 2022). Wood drying and shrinking is manifested microscopically as water expulsion and cellulose microfibrils approaching each other, and macroscopically as a change in wood dimensions. Free shrinkage refers to the dimensional reduction of wood occurring below the FSP when thin, isolated specimens dry under minimized stress conditions. This phenomenon is driven exclusively by moisture loss and subsequent cell wall relaxation (Sun et al. 2019).
Fig. 1. The location of various types of water in wood (Reprinted from Thybring et al. (2022), Forests, 13(12), 2051, CC BY 4.0. https://doi.org/10.3390/f13122051)
Factors Affecting Free Drying Shrinkage
Effect of external factors on free drying shrinkage
The thickness of wood specimens significantly influences their free shrinkage characteristics, which holds critical implications for industrial wood processing. Studies demonstrate that while the total shrinkage of Eucalyptus urophylla × E. grandis specimens (1 to 3 mm thick) shows negligible variation upon complete drying, their FSP increases with thickness, with 1 mm specimens exhibiting collapse when MC exceeds FSP (Yang et al. 2018a; Zhang et al. 2025). Comparative analyses reveal that 0.5 mm thick specimens maintain structural integrity during drying, whereas 1-mm and 2-mm specimens display significant collapse (Redman et al. 2016). And 5-mm thick Juglans mandshurica specimens develop restrained shrinkage that precludes accurate free shrinkage measurement (Liu et al. 2024). These findings indicate that although the final shrinkage magnitude may be thickness-independent, the shrinkage process exhibits distinct thickness-dependent behaviors: specimens ≤0.5 mm thick are suitable for fundamental free shrinkage characterization, the 1 to 2 mm range represents a critical transition zone prone to collapse, while thicker specimens require FSP adapted drying protocols. Consequently, industrial applications should establish species-specific thickness thresholds and implement precise humidity and temperature control within critical thickness ranges, which is essential for defect minimization in dimensional lumber production and engineered wood manufacturing.
In addition to the influence of specimen thickness on the occurrence and measurement of free drying shrinkage in wood, drying conditions are also crucial determinants. In conventional drying experiments, as the temperature used in the experiment increases, the synergistic effect of the plastic deformation of the wood surface layer and the moisture content gradient occurs. The surface layer loses part of its elastic deformation ability, generates irreversible plastic deformation, and is fixed in a stretched state, thereby providing a buffer for the overall shrinkage of the wood (Bengtsson and Kliger 2003). When the moisture content of the internal wood drops below the fiber saturation point and shrinkage occurs, the plastic deformation of the surface layer restricts its further shrinkage, resulting in a significant reduction in the free shrinkage strain and the free shrinkage coefficient. Moreover, there is a significant correlation between the temperature and the free shrinkage strain (Zhan et al. 2011). When the temperature is relatively high (taking 100 °C as an example), the shrinkage anisotropy between different layers increases significantly (Chai et al. 2024b). Therefore, to ensure the smooth progress of free shrinkage (a process without defects such as cracking and warping that may interfere with the overall quality and predictability of the results), thin specimens should be dried slowly under low temperature and high humidity conditions (Liu et al. 2025).
In conclusion, specimen thickness and drying conditions have varying degrees of influence on the occurrence and measurement of free drying shrinkage. Understanding these differences is crucial for optimizing the practical processing and utilization of wood and for advancing the theoretical framework of wood rheology.
Effect of intrinsic factors on free drying shrinkage
A study of the microstructure of wood found that the arrangement of cells, microfibril angle (MFA), and early and late season timber all have an effect on wood dryness and shrinkage (Patera et al. 2017). In addition, there is an inhibitory effect of the wood rays, and the differences between the cell wall layers also have an effect on the dryness and shrinkage (Wiedenhoeft 2012). Changes of the tubular cells in the process of water desorption are often probed at the microscopic scale, which is centered on the tubular cell cross-sectional area, tubular cell lumen cross-sectional area, tubular wall thickness, etc. Wood drying shrinkage is often attributed to changes in water molecules caused by hydroxyl changes in amorphous cellulose and hemicellulose in the cell wall. Gao et al. (2022) studied the shrinkage of Sargasso pine during drying at the macroscopic and cellular levels using the VIC-3D with a digital microscope system and found that at the macroscopic scale, tangential (T) and radial (R) shrinkage was larger, and the shrinkage of latewood tubular cells was significantly larger than the shrinkage of earlywood tubular cells in the timber. Shrinkage of earlywood tubular cells, and the shrinkage and anisotropy demonstrated at the cellular and macroscopic levels were significantly different, which may be a joint result of the interaction between early and latewood and under the inhibition of wood rays (Gao et al. 2022). Derome et al. (2011) studied the drying shrinkage of spruce cells by synchrotron radiation proportional X-ray tomography microscopy (srPCXTM). The latewood cells shrank more significantly but more slowly than the earlywood cells, and the anisotropy of earlywood cells was more remarkable. It was speculated that this might be influenced by the wood rays. Xue et al. (2018) further explored the influence of wood rays on the drying shrinkage property of wood. The work was done using low-temperature slicing and continuous drying of oak, black walnut, and teak. The results of the drying and shrinking of latewood were more severe than that of earlywood, and wood rays had a significant inhibitory effect on the shrinking of wood. MFA is an important factor affecting the dryness and shrinkage of wood, especially the S2 layer of the tubular or fiber cell wall (Sun et al. 2019). Evaporation of water molecules inside the wood causes the water layer between the microfilaments of the cell wall to become thinner, and the microfilaments come closer together. The cell wall thus becomes smaller in size, and the wood undergoes drying and shrinkage (Zhan et al. 2019). The axial drying shrinkage of wood is positively correlated with the MFA of S2 layer and is more constant when the MFA is less than 30°, but when it is more than 30°, the axial drying shrinkage of wood increases significantly and warping and deformation can easily occur (Leonardon et al. 2010).
Although there has been no detailed study on the influence of intrinsic factors on free drying shrinkage, from the relationship between free drying shrinkage and drying shrinkage it is not difficult to judge that the above intrinsic factors that influence of wood drying shrinkage should be attributable to free drying shrinkage. However, such results still need to be further explored.
Detection and Application of Free Drying Shrinkage
Free drying shrinkage measurement methods
Wood shrinkage measurement techniques span multiple dimensional scales. At the macroscopic level, conventional tools including vernier calipers, digital micrometers, and optical scanning systems provide essential data for characterizing free shrinkage behavior. The integration of precise dimensional measurements with moisture content gradient analysis ensures methodological reliability, as demonstrated by Redman et al. (2016) through combined balance and scanning laser micrometer measurements of directional shrinkage. Nopens et al. (2019) advanced this approach using CCD cameras to simultaneously monitor tangential and radial dimensional changes in Fagus sylvatica and Pinus sylvestris, establishing a high-throughput imaging methodology that minimizes thermal disturbances while improving temporal resolution.
At the microscopic scale, scanning electron microscopy (SEM) has been instrumental in visualizing cell wall dynamics, with Almeida et al. (2014) examining earlywood/latewood differentiation and Gu et al. (2001) documenting cellulose protofibril organization in Pinus sylvestris. Laser scanning confocal microscopy (CLSM) enables real-time tracking of lignin autofluorescence during shrinkage, revealing moisture-dependent cell wall layer deformation at submicron resolution, as demonstrated by Murata et al. (2006) and Sakagami et al. (2007). Synchrotron radiation phase-contrast X-ray tomography (srPCXTM) coupled with 3D analysis (Patera et al. 2013) provides direct visualization of tissue-level shrinkage patterns, while optical microscopy (Perré et al. 2007; Rafsanjani et al. 2014) offers complementary insights into cell wall deformation. These multiscale approaches collectively establish quantitative structure-property relationships that enhance predictive control of free shrinkage in practical applications.
Application of free drying shrinkage in wood rheology
(1.) Calculate the actual drying value
Wood under drying stress develops four strain components: elastic strain, viscoelastic creep strain, mechanically adsorbed creep strain, and free drying shrinkage strain, which sum to the total drying strain or actual drying shrinkage strain (Zhu et al. 2025). Zhan et al. (2007a) found that the difference between wood drying and shrinkage increases with the increase of free drying shrinkage, resulting in an increase in drying stress. At the same time, the mechanically adsorbed creep strain is directly proportional to the amount of free drying shrinkage, so the mechanically adsorbed creep will also increase. At the beginning of wood drying when the surface layer MC drops to the FSP to produce free drying shrinkage, due to fact that the internal MC is higher than FSP, the actual shrinkage of the surface layer is less than the free drying shrinkage value. There are tensile stresses in the surface layer, and there are compressive stresses in the core layer. As drying continues, the surface layer moisture continues to decrease, the free drying shrinkage value increases, and the drying shrinkage is suppressed by the effect of the thickness. Thus, the surface layer tensile stress shows an increasing trend. If the core layer MC is still not reduced to the FSP, then the core layer of the compressive stress will also increase, and surface layer cracking may occur. In the late stage of drying, the MC of the core layer decreases so that the free drying shrinkage increases, but the surface layer under tensile stress exhibits a large mechanical adsorption creep deformation, and the compressive stresses at the late stage can make the tensile surface deformation fully recovered. Therefore, the surface layer cannot reach its free dry shrinkage value, i.e., the value of free dry shrinkage is greater than the actual dry shrinkage. Fu (2014) in the course of drying of tree disks found that the MC of the disks dropped below the FSP, and the loss of bound water led to its drying shrinkage. The difference tangential strain of each ring layer caused by drying shrinkage anisotropy is proportional to the difference between the tangential and radial free drying shrinkage.
(2) Modeling wood drying stresses
Tu et al. (2009) used the slicing method to investigate and analyze the free drying and shrinkage characteristics of wood in the drying process. Assumptions about the drying stress in the conventional drying experiments were made in conjunction with the laws of free drying and shrinkage, which expanded the scope of the study of drying stress and provided a good direction. Zhan et al. (2007b, 2009a, 2017) focus on the stress-strain changes in the conventional drying process of wood, combined with specific experiments to establish a mathematical model of stress-strain in the drying process. This work further reveals the rule of law of the wood in the drying process, focusing on the investigation of the free-drying shrinkage of larch in this experiment. The study focuses on the free-drying shrinkage of the test material chord radial law under different temperature conditions, elastic strain, and viscoelastic strain under different temperature conditions, which provides a theoretical basis for the setting of drying conditions and further investigation of the mechanical creep mechanism. Redman et al. (2016) used 0.5 mm thick specimens to do free drying shrinkage experiments, and the desorption isotherm of the wood was established to get the relationship between moisture content and drying shrinkage. Han et al. (2017) established the free shrinkage model by using the free shrinkage with elasticity, viscoelastic and viscous strain viscoelastic and derived the viscoelastic coefficient and viscosity coefficient. The respective elastic coefficients and modulus were obtained to predict the drying stress and deformation of red pine wood at a specific time during the drying process. Salinas et al. (2022) determined mechanical adsorption coefficients by using the stress-strain modeling after determination of elastic, free shrinkage and mechanically adsorbed strains of eucalyptus wood. Zhao et al. (2015) considered the establishment of a coupled thermal mass-stress-strain mathematical model that takes into account the phenomena of free drying shrinkage and mechanically adsorbed strain of wood in a more practical manner. These studies from various researchers adopt different methods and focus on diverse aspects, such as model establishment, coefficient determination, and relationship exploration, to investigate wood’s free drying, shrinkage, and stress-strain characteristics. Collectively, they have advanced the theoretical understanding of wood drying and provided practical guidance for optimizing drying processes and predicting wood behavior.
ANALYSIS AND DISCUSSION
The research on the measurement and application of the free shrinkage of wood is of great significance for precisely controlling the wood drying process and improving the quality of wood processing. In terms of optimizing the measurement methods, the precise regulation of experimental conditions is the core to ensure the accuracy of measurement. Fu (2017) successfully eliminated the moisture content gradient during the wood drying process by setting the experimental conditions of constant temperature and gradually decreasing humidity in stages, thereby providing an effective solution for achieving stable measurement of free shrinkage. Zhang et al. (2018) found that reducing the thickness of the specimen can significantly enhance the shrinkage response. However, it is necessary to balance the potential changes in mechanical properties caused by an overly thin thickness. In addition, special drying processes such as supercritical CO2 drying (Chang et al. 2011; Zhang et al. 2019; Mu et al. 2020) and freeze-drying (Yang et al. 2018b) exhibit unique advantages. These technologies open up new paths for high-precision measurement by eliminating interfacial tension and avoiding moisture content gradients.
From the perspective of application, special drying processes have remarkable value in the wood industry. Based on the characteristics of wood freeze-drying technology, which can effectively avoid shrinkage and reduce the moisture content gradient (Jin et al. 2021). Supercritical CO2 drying technology shows great potential in the large-scale wood pretreatment process (Zhang et al. 2021; Liu et al. 2022). Its rapid and uniform drying characteristics can not only shorten the processing cycle but also provide support for precisely controlling the free shrinkage, facilitating the research, development, and production of customized wood products.
However, there are still urgent problems to be solved in the current research. There is a lack of a unified standard for the measurement of free shrinkage, making it difficult to conduct effective comparisons among different research results. The quantitative relationship between the changes in the microscopic structure of wood and its macroscopic shrinkage properties has not been fully clarified, which restricts the precise optimization of the drying process. Future research can make use of advanced simulation and monitoring technologies to deeply explore the dynamic change mechanism of free shrinkage. At the same time, actively explore new types of green, environmentally friendly, and low-cost drying technologies to accelerate the transformation of research results into practical production applications, thus promoting the high-quality development of the wood processing industry.
OUTLOOK
Despite significant progress in understanding wood free drying shrinkage, several critical gaps remain, necessitating further research to bridge fundamental knowledge with industrial applications:
1) The lack of standardized measurement protocols poses a major challenge. Existing methods vary widely in specimen preparation, experimental conditions, and data analysis, hindering direct comparisons across studies. Future efforts should prioritize developing unified guidelines for free shrinkage measurement, integrating multiscale techniques (from macroscopic dimensional analysis to microscopic cell wall imaging) to ensure consistency and accuracy.
2) Elucidating the quantitative relationship between wood microstructure and its free shrinkage behavior is critically important for advancing wood science. Although previous studies have identified influential factors including microfibril angle, cell wall lamellae organization, and ray parenchyma cells, the underlying mechanisms remain unresolved. Developing a multimodal characterization platform that integrates high spatiotemporal resolution with simultaneous monitoring of moisture content dynamics and free shrinkage would enable real-time observation of how nanoscale moisture variations manifest as macroscopic dimensional changes. This fundamental understanding will facilitate the establishment of predictive models to optimize drying processes for species-specific and application-tailored wood products.
3) Developing sustainable and cost-effective drying technologies is crucial for industrial applications. Although supercritical CO₂ drying and freeze-drying enable the control of free shrinkage, their high energy consumption and equipment costs limit industrial scalability. Future research should actively explore innovative methods to reduce operational costs. Furthermore, exploring the application of modifiers may provide new strategies for sustainable wood processing.
In summary, research on wood free drying shrinkage has achieved phased progress. Further development is required in both theoretical and practical aspects. Ideal free drying serves as a crucial theoretical benchmark for elucidating dimensional change mechanisms during wood drying. By systematically analyzing influencing factors, detection techniques, and application status in actual free drying processes, this study identifies the key parameters governing deviations from the ideal state. These findings provide not only theoretical guidance for experimental optimization but also a solid foundation for bridging the theory-practice gap and addressing research deficiencies.
REFERENCES CITED
Almeida, G., and Hernández, R. E. (2006). “Changes in physical properties of tropical and temperate hardwoods below and above the fiber saturation point,” Wood Science and Technology 40, 599-613. DOI: 10.1007/s00226-006-0083-8
Almeida, G., Huber, F., and Perré, P. (2014). “Free shrinkage of wood determined at the cellular level using an environmental scanning electron microscope,” Maderas – Ciencia y Tecnologia 16(2), 187-198. DOI: 10.4067/S0718-221X2014005000015
Bengtsson, C., and Kliger, R. (2003). “Bending creep of high-temperature dried spruce timber,” Holzforschung 57(1), 95-100. DOI: 10.1515/HF.2003.015
Chai, H., and Li, L. (2024a). “Optimization of measurement and calculation methods for viscoelastic creep strain and mechanical adsorption creep strain during conventional drying process of Pinus sylvestris,” BioResources 19(3), 6339-6354. DOI: 10.15376/biores.19.3.6339-6354
Chai, H., and Li, L. (2024b). “Free drying shrinkage performance of Pinus sylvestris l. under different temperature and humidity conditions,” BioResources 19(3), 6444-6458. DOI: 10.15376/biores.19.3.6444-6458
Chang, S. S., Hu, J. B., and Zhao, G. J. (2011). “Effects of different drying pretreatments on pore structure of poplar tension wood,” Journal of Beijing Forestry University 33(2), 91-95. DOI: 10.13332/j.1000-1522.2011.02.002
Derome, D., Griffa, M., Koebel, M., and Carmeliet, J. (2011). “Hysteretic swelling of wood at cellular scale probed by phase-contrast x-ray tomography,” Journal of Structural Biology 173(1), 180-190. DOI: 10.1016/j.jsb.2010.08.011
Fu, Z. Y. (2017). “Study on drying stress and strain in white birch discs during conventional drying,” Northeast Forestry University, Harbin. DOI: CNKI: CDMD: 1.1018.248139
Fu, Z. Y., Zhao J. Y., and Cai Y. C. (2014). “Investigation of tangential strain caused by shrinkage anisotropy using image analytical method,” Strategic Study of CAE 16(4), 25-29.
Fu, Z. Y., Cai, Y. C., and Zhou, Y. D. (2021). “Effect of pretreatment on surface roughness and wettability of preservative treated Masson pine,” Scientia Silvae Sinicae 57(9), 160-167. DOI: 10.11707/j.1001-7488.20210916
Gao, Y., Fu, Z., Zhou, Y., Gao, X., Zhou, F., and Cao, H. (2022). “Moisture-related shrinkage behavior of wood at macroscale and cellular level,” Polymers 14(22), article 5045. DOI: 10.3390/polym14225045
Gu, H., Zink-Sharp, A., and Sell, J. (2001). “Hypothesis on the role of cell wall structure in differential transverse shrinkage of wood,” Holz als Roh- und Werkstoff 59(6), 436-442. DOI: 10.1007/s001070100240
Han, Y., Yang, S. Y., Park, J. H., Chang, Y. S., Eom, C. D., and Yeo, H. (2017). “Separation of drying strains and the calculation of drying stresses considering the viscoelasticity of red pine wood during drying,” Drying Technology 35(15), 1858-1866. DOI: 10.1080/07373937.2017.1283323
Jiang, J. L., and Lv, J. X. (2012). “Shrinkage-swelling properties of dried Chinese fir woods,” Journal of Central South University of Forestry & Technology 32(06), 152-157. DOI: 10.14067/j.cnki.1673-923x.2012.06.009
Jin, H. H., and Liu, H. H. (2021). “Application status and prospect of wood freeze-drying,” Furniture 42(05), 6-10. DOI: 10.16610/j.cnki.jiaju.2021.05.002
Leonardon, M., Altaner, C. M., Vihermaa, L., and Jarvis, M. C. (2010). “Wood shrinkage: Influence of anatomy, cell wall architecture, chemical composition and cambial age,” European Journal of Wood and Wood Products 68(1), 87-94. DOI: 10.1007/s00107-009-0355-8
Listyanto, T., Ando, K., Yamauchi, H., and Hattori, N. (2013). “Microwave and steam injection drying of CO2 laser incised Sugi lumber,” Journal of Wood Science 59(4), 282-289. DOI: 10.1007/s10086-013-1331-9
Liu, J. X., Wang, X. M., Hao, Z. B., and Wu, X. W. (2015). “Effect of drying conditions on wood shrinkage stress,” Journal of Northeast Forestry University 43(08), 75-77+94. DOI: 10.13759/j.cnki.dlxb.20150629.020
Liu, H., Xie, J., and Zhang, J. (2022). “Moisture transfer and drying stress of eucalyptus wood during supercritical CO2 (ScCO2) dewatering and ScCO2 combined oven drying,” BioResources 17(3), 5116-5128. DOI: 10.15376/biores.17.3.5116-5128
Liu, H., Li, Z., and Xie, X. J. (2023). “Dewatering fresh bamboo strips using supercritical carbon dioxide,” European Journal of Wood and Wood Products 81(5), 1327-1335. DOI: 10.1007/s00107-023-01951-6
Liu, X. J., Xie, J. E., Tang, B., Wan, C., Yang, L., and Liu, H. H. (2024). “The free drying shrinkage characteristics of Juglans mandshurica Maxim. wood,” Journal of Northeast Forestry University 52(6), 114-118. DOI: 10.3969/j.issn.1000-5382.2024.06.017
Liu, H. H., Xie, J. E., Liu, X. J., and Zhang, X. K. (2025). “The free drying shrinkage characteristics of moso bamboo,” Industrial Crops and Products 223, article 120185. DOI: 10.1016/j.indcrop.2024.120185
Lv, J. X., Lin, Z. Y., Zhao, Y. K., and Jiang, J. L. (2005). “Studies on the shrinkage properties of Chinese fir and I-72 poplar plantation wood,” Scientia Silvae Sinicae 41(5), 127-131. DOI: 10.3321/j.issn:1001-7488.2005.05.023
Mu, L., Zhao, J. Y., Liu, S. D., Wang, F., Li, N. Y., and Hu, F. D. (2020). “Experimental research on supercritical CO2 fluid drying for water-saturated wooden relics,” Sciences of Conservation and Archaeology 32(6), 55-60. DOI: 10.16334/j.cnki.cn31-1652/k.20181201351
Murata, K., and Masuda, M. (2006). “Microscopic observation of transverse swelling of latewood tracheid: effect of macroscopic/mesoscopic structure,” Journal of Wood Science 52(4), 283-289. DOI: 10.1007/s10086-005-0760-5
Nopens, M., Riegler, M., Hansmann, C., and Krause, A. (2019). “Simultaneous change of wood mass and dimension caused by moisture dynamics,” Scientific Reports 9(1), article 10309. DOI: 10.1038/s41598-019-46381-8
Ozyhar, T., Hering, S., and Niemz, P. (2013). “Moisture-dependent orthotropic tension-compression asymmetry of wood,” Holzforschung 67(4), 395-404. DOI: 10.1515/hf-2012-0089
Patera, A., Bulcke, J. V. D., Boone, M. N., Derome, D., and Carmeliet, J. (2017). “Swelling interactions of earlywood and latewood across a growth ring: Global and local deformations,” Wood Science & Technology (7), 1-24. DOI: 10.1007/s00226-017-0960-3
Patera, A., Derome, D., Griffa, M., and Carmeliet, J. (2013). “Hysteresis in swelling and in sorption of wood tissue,” Journal of Structural Biology 182(3), 226-234. DOI: 10.1016/j.jsb.2013.03.003
Perré, P., and Huber, F. (2007). “Measurement of free shrinkage at the tissue level using an optical microscope with an immersion objective: Results obtained for Douglas fir (Pseudotsuga menziesii) and spruce (Picea abies),” Annals of Forest Science 64(3), 255-265. DOI: 10.1051/forest:2007003
Rafsanjani, A., Stiefel, M., Jefimovs, K., Mokso, R., Derome, D., and Carmeliet, J. (2014). “Hygroscopic swelling and shrinkage of latewood cell wall micropillars reveal ultrastructural anisotropy,” Journal of The Royal Society Interface 11(95), article 20140126, 1-10. DOI: 10.1098/rsif.2014.0126
Redman, A. L., Bailleres, H., Turner, I., and Perré, P. (2016). “Characterisation of wood–water relationships and transverse anatomy and their relationship to drying degrade,” Wood Science and Technology 50(4), 739-757. DOI: 10.1007/s00226-016-0818-0
Sakagami, H., Matsumura, J., and Oda, K. (2007). “Shrinkage of tracheid cells with desorption visualized by confocal laser scanning microscopy,” Iawa Journal 28(1), 29-37. DOI: 10.1163/22941932-90001615
Salinas, C., Chavez, C. A., Cárdenas, F., Torres, J., and Ananias, R. (2022). “Determination of mechano-sorptive coefficients in Eucalyptus nitens wood under isothermal conditions,” BioResources 17(1), 1047-1061. DOI: 10.15376/biores.17.1.1047-1061
Shen, Y., Huang, J., Ma, X., Hao, F., and Lv, J. (2020). “Experimental study on the free shrinkage of lightweight polymer concrete incorporating waste rubber powder and ceramsite,” Composite Structures 242, article 112152. DOI: 10.1016/j.compstruct.2020.112152
Sun, H. Y., Su, M. L., Lv, J. X., Zhao, R. J., Ren, H. Q., and Wang, Y. R. (2019). “Research progress on effect of microfibril angle and crystalline area in cell wall on wood physical and mechanical properties,” Journal of Northwest A&F University (Natural Science Edition) 47(5), 50-58. DOI: 10.13207/j.cnki.jnwafu.2019.05.007
Thybring, E. E., Fredriksson, M., Zelinka, S. L., and Glass, S. V. (2022). “Water in wood: a review of current understanding and knowledge gaps,” Forests 13(12), article 2051. DOI: 10.3390/f13122051
Tu, D. Y., Gu, L. B., Du, G. X., and Liu, B. (2004). “A study on drying strain of Pinus massoniana lumber during drying,” Journal of Nanjing Forestry University (Natural Science Edition) 28(4), 23-28. DOI: 10.3969/j.issn.1000-2006.2004.04.005
Tu, D. Y., and Liu, B. (2009). “Study on drying stress model of wood,” Journal of Nanjing Forestry University (Natural Science Edition) 33(3), 87-91. DOI: 10.3969/j.issn.1000-2006.2009.03.020
Wang, C. Y., and Sun, M. (2022). “Research of bioinspired artificial wood,” Journal of Forestry Engineering 7(3), 1-10. DOI: 10.13360/j.issn.2096-1359.202107009
Wiedenhoeft, A. (2012). Structure and Function of Wood, CRC Press, DOI: 10.1201/B12487-4
Xue, Q., Sun, W., Fagerstedt, K., Guo, X., Dong, M., Wang, W., and Cao, H. (2018). “Effects of wood rays on the shrinkage of wood during the drying process,” BioResources 13(3), 7086-7095. DOI: 10.15376/biores.13.3.7086-7095
Yang, L., Fu, Q. Y., Liu, H. H., and Wu, Z. H. (2018a). “Free shrinkage rate and fiber saturated point determination of Eucalyptus urophylla×E. grandis wood,” Journal of Northeast Forestry University 46(4), 39-42. DOI: 10.3969/j.issn.1000-5382.2018.04.008
Yang, L., Ma, Q. Y., Liu, H. H., Liao, X. M., and Wu, Z. H. (2018b). “Freeze-drying properties of Eucalyptus urophylla×E. grandis wood,” Journal of Forest and Environment 38(3), 277-283. DOI: 10.13324/j.cnki.jfcf.2018.03.004
Yin, F. Y., Ou, Y. B., Jiang, J. L., Li, Z., and Lv, J. X. (2023). “Research development of shrinkage and swelling of wood with multi-scale structures,” Scientia Silvae Sinicae 59(7), 145-154. DOI: 10.11707/j.1001-7488.LYKX20210727
Zhan, J. F., and Avramidis, S. (2011). “Mechanosorptive creep of hemlock under conventional drying: I. The determination of free shrinkage strain,” Drying Technology 29(7), 789-796. DOI: 10.1080/07373937.2010.535939
Zhan, J. F., and Avramidis. (2017). “Evaluation strategy of softwood drying stresses during conventional drying: A mechano-sorptive creep gradient concept,” Wood Science & Technology 51(5), 1033-1049. DOI: 10.1007/s00226-017-0937-2
Zhan, J. F., Gu, J. Y., and Ai, M. Y. (2005). “Transverse drying stress of white birch wood during drying,” Journal of Northeast Forestry University 33(4), 25-28. DOI: 10.3969/j.issn.1000-5382.2005.04.010
Zhan, J. F., Gu, J. Y., and Cai, Y. C. (2009a). “Dynamic mechano-sorptive characteristics of larch timber during conventional drying process,” Journal of Beijing Forestry University 31(2), 108-113. DOI: 10.3321/j.issn:1000-1522.2009.02.017
Zhan, J. F., Gu, J. Y., Cai, Y. C., and Li, P. (2007a). “The influence of wood rheological properties on conventional drying cracking and deformation of lumber,” Forestry Machinery & Woodworking Equipment 35(10), 33-36. DOI: 10.3969/j.issn.2095-2953.2007.10.012
Zhan, J. F., Gu, J. Y., Cai Y. C., Li, P., and Lin, T. (2007b). “A diffusion mathematical model of the effect of coal medium and wood properties on the conventional drying rate of boards,” Forestry Machinery & Woodworking Equipment (7), 26-28. DOI: CNKI: SUN: LJMG.0.2007-07-011
Zhan, J. F., Gu, J. Y., and Shi, S. Q. (2009b). “Rheological behavior of larch timber during conventional drying,” Drying Technology 27(10), 1041-1050. DOI: 10.1080/07373930903218412
Zhan, T., Jiang, J., Lu, J., Zhang, Y., and Chang, J. (2019). “Frequency-dependent viscoelastic properties of Chinese fir (Cunninghamia lanceolata) under hygrothermal conditions. Part 2: Moisture desorption,” Holzforschung 73(8), 737-746. DOI: 10.1515/hf-2018-0209
Zhang, C. J., Zhang, Y. T., Xv, S. N., Su, S., Liu, H. H., Yang, L., and Su, Q. T. (2018). “Research on the free shrinkage rate of Eucalyptus urophylla × E. grandis wood based on scanning image method,” Furniture 39(6), 31-34. DOI: 10.16610/j.cnki.jiaju.2018.06.007
Zhang, J. W., Liu, H. H., and Yang, L. (2019). “Application of supercritical CO2 fluid to wood drying,” World Forestry Research 32(6), 37-42. DOI: 10.13348/j.cnki.sjlyyj.2019.0052.y
Zhang, J. W., Yang, L., and Liu, H. H. (2021). “Green and efficient processing of wood with supercritical CO2: A review,” Applied Sciences 11(9), 3929. DOI: 10.3390/app11093929
Zhang, X., Hu, Y. and Liu, H. (2025). “Free shrinkage characteristics of Eucalyptus urophylla × E. grandis wood prone to collapse,” Holzforschung, early access. DOI: 10.1515/hf-2024-0104
Zhang, P. J., Shang, X. H., and Wu, Z. H. (2020). “Difference in wood physical and mechanical properties of five kinds of Eucalyptus,” Journal of Northwest Forestry University 35(4), 184-190. DOI: 10.3969/j.issn.1001-7461.2020.04.29
Zhang, Y. J., Chen, H. G., Yang, Z. Q., and Qin, L. Z. (2023). “Effect of pretreatment on surface roughness and wettability of preservative treated Masson pine,” Journal of Forestry Engineering 8(1), 53-58. DOI: 10.13360/j.issn.2096-1359.202201006
Zhao, J. Y., Cai, Y. C., and Fu, Z. Y. (2015). “Present status of research on mathematical models of heat and mass transfer during wood drying,” Journal of Beijing Forestry University (7), 123-128. DOI: 10.13332/j.1000–1522.20140471
Zhu, J., and Yang, L. (2025). “Progress in the study of dry shrinkage deformation and drying stress of raw bamboo,” BioResources 20(1), 2304-2320. DOI: 10.15376/biores.20.1.Zhu
Zhu, X., Zhao, J., Gao, W., Cheng, Q., Duan, Y., Niu, S., and Cai, Y. (2021). “Laws governing free and actual drying shrinkage of 50 mm thick Mongolian scotch pine timber,” Forests 12(11), article 1500. DOI: 10.3390/f12111500
Article submitted: February 17, 2025; Peer review completed: March 29, 2025; Revised version received and accepted: April 30, 2025; Published: May 9, 2025.
DOI: 10.15376/biores.20.3.Zhao