Abstract
A 3D combined elastic-plastic damage constitutive model for wood is proposed within the theoretical framework of classical plasticity and continuum damage mechanics (CDM). The model is able to describe the various behavior of wood under loading, including the orthotropic elasticity, strengths inequality under tension and compression in each orthotropic direction, ductile softening under longitudinal compression, brittle failure under transverse tension, and parallel shearing, densification hardening under transverse compression. Hoffman criterion and a set of eight separate failure criteria were used to define wood yielding and damage initiation, respectively. Isotropic hardening was assumed after yielding and defined by an exponential type function. The constitutive model was implicitly discretized using backward Euler method, solved through the return mapping algorithm and implemented into ABAQUS through the user-defined material subroutine (UMAT). The proposed model was firstly verified by material property tests considering different stress states: monotonic and repeated tension and compression (in both parallel and perpendicular-to-grain directions), parallel-to-grain shearing, and the interactions between perpendicular-to-grain compression/tension and parallel-to-grain shearing, etc. Mechanical behavior of typical structural elements was further simulated to validate the proposed constitutive model.
Funding source: National Key R&D Program of China
Award Identifier / Grant number: 2018YFD1100404
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 51878550
Funding source: Education Department Project of Shaanxi Provincial Government
Award Identifier / Grant number: 17JS063
Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
Research funding: The authors of this paper gratefully acknowledge the funding support received from the National Key R&D Program of China (grant no. 2018YFD1100404), the National Natural Science Foundation of China (grant no. 51878550), and the Education Department Project of Shaanxi Provincial Government (grant no. 17JS063).
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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Supplementary Material
The online version of this article offers supplementary material (https://doi.org/10.1515/hf-2019-0247).
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