Anisotropic Elastoplastic Constitutive Model of Poplar Wood and Its Verification

XIONG Yu; WANG Hu; FU Zhiqiang; YANG Qinan; ZHENG Yicheng; MENG Qinghe

doi:10.19554/j.cnki.1001-3563.2025.21.030

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Packaging Engineering ›› 2025, Vol. 46 ›› Issue (21) : 279-285. DOI: 10.19554/j.cnki.1001-3563.2025.21.030

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Anisotropic Elastoplastic Constitutive Model of Poplar Wood and Its Verification

XIONG Yu^a,b, WANG Hu^a,b, FU Zhiqiang^a,b*, YANG Qinan^a,b, ZHENG Yicheng^a,b, MENG Qinghe^a,b

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Abstract

To clarify the variation law of mechanical properties of Chinese Populus tomentosa under different fiber directions, the work aims to construct a three-dimensional elastoplastic constitutive model that can accurately describe the elastoplastic deformation of Chinese Populus tomentosa. Multi-directional mechanical tests were conducted on Chinese Populus tomentosa. A sine function was introduced to improve the traditional Hankinson formula. To establish the three-dimensional elastoplastic constitutive model, based on the orthotropic theory, the Hill yield criterion was modified by combining experimental data such as elastic modulus, Poisson's ratio, shear modulus, tensile strength, etc. The UMAT material subroutine was developed simultaneously and the Chinese Populus tomentosa pallets were predicted and verified by ABAQUS. The prediction error of the improved Hankinson formula for the elastic modulus of Populus tomentosa was 6.4%. The elastoplastic constitutive model was built based on this formula. The static compression test of Chinese Populus tomentosa pallets was simulated by this new model. The maximum error between the simulated load value and the experimental data was 8.5%, indicating that the new model could effectively predict the compressive mechanical behavior of the pallets. In conclusion, the modified Hill yield criterion improves the prediction accuracy. The established three-dimensional elastoplastic constitutive model can accurately predict the compressive performance of Chinese Populus tomentosa pallets, providing theoretical basis for the application of Populus tomentosa in practical engineering.

Key words

Chinese Populus tomentosa / anisotropy / constitutive model / elastoplastic / finite element simulation

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XIONG Yu, WANG Hu, FU Zhiqiang, YANG Qinan, ZHENG Yicheng, MENG Qinghe. Anisotropic Elastoplastic Constitutive Model of Poplar Wood and Its Verification[J]. Packaging Engineering. 2025, 46(21): 279-285 https://doi.org/10.19554/j.cnki.1001-3563.2025.21.030

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