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Three-dimensional elastic-plastic damage constitutive model of wood
Holzforschung ( IF 2.4 ) Pub Date : 2021-06-01 , DOI: 10.1515/hf-2019-0247
Lipeng Zhang 1, 2 , Qifang Xie 1, 2 , Baozhuang Zhang 1, 2 , Long Wang 1, 2 , Jitao Yao 1, 2
Affiliation  

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.

中文翻译:

木材三维弹塑性损伤本构模型

在经典塑性和连续损伤力学 (CDM) 的理论框架内,提出了木材的 3D 组合弹塑性损伤本构模型。该模型能够描述木材在载荷作用下的各种行为,包括各向异性弹性、各正交各向异性方向拉伸和压缩下的强度不等性、纵向压缩下的韧性软化、横向拉伸下的脆性破坏以及平行剪切、横向下的致密硬化压缩。霍夫曼准则和一组八个单独的破坏准则分别用于定义木材的屈服和破坏的开始。屈服后假设各向同性硬化,并由指数型函数定义。本构模型使用后向欧拉方法隐式离散化,通过返回映射算法求解,并通过用户定义材料子程序(UMAT)在 ABAQUS 中实现。所提出的模型首先通过考虑不同应力状态的材料特性测试进行验证:单调和重复的拉伸和压缩(在平行和垂直于晶粒的方向)、平行于晶粒的剪切以及垂直于晶粒之间的相互作用压缩/拉伸和平行于晶粒的剪切等。进一步模拟典型结构元件的力学行为以验证所提出的本构模型。
更新日期:2021-05-28
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