On the structure of poroplastic constitutive relations
On the structure of poroplastic constitutive relations
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多孔塑性本构关系的结构
DOI：
10.1016/j.jmps.2023.105344
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发表时间：
2023
影响因子：
5.3
通讯作者：
Benzerga, A. Amine
中科院分区：
文献类型：
--
作者：
Benzerga, A. Amine
本文从第一性原理出发，讨论了多孔材料塑性的各个方面。非均匀屈服是指在无梯度的宏观非均匀变形下的屈服和塑性流动过程。非均匀性由有限厚度的一个或多个带中的应变局部化表示。所有内禀屈服准则的一个普遍特征是它们依赖于在带上分解的法向力和剪向力。当专门用于各向同性时，Mohr-Coulomb准则和Rankine-Tresca准则出现为两个极端。后者是多孔材料在任意载荷下屈服行为的典型理想。一般理论代表有限数量的带或屈服系统。它的整体结构具有晶体塑性的某些特征，但依赖于分解的正应力。微观结构参数的演变可以给出一般条款，是完全基于非均匀屈服和矩阵不可压缩的运动约束。在整个文件中，均匀屈服的竞争，迄今为止被认为是理所当然的，分析有或没有应变和应变率硬化效应。最后，我们讨论这类新的本构关系的热力学一致性和应变梯度理论的联系。
The paper discusses from first principles all aspects relevant to the plasticity of porous materials. Emphasis is laid on unhomogeneous yielding, defined as the process of yielding and plastic flow under gradient-free macroscopically nonuniform deformation. The nonuniformity is represented by strain localization in one or more bands of finite thickness. A universal feature of all intrinsic yield criteria is their dependence upon the normal and shear tractions resolved on the band. When specialized to isotropy, a Mohr–Coulomb criterion and a Rankine–Tresca criterion emerge as two extremes. The latter is an ideal that typifies the yield behavior of porous materials under arbitrary loadings. The general theory stands for a finite number of bands or yield systems. Its overall structure bears some features of crystal plasticity, but with dependence upon the resolved normal stress. The evolution of microstructural parameters can be given in general terms, being solely based on the kinematic constraints of unhomogeneous yielding and matrix incompressibility. Throughout the paper, the competition with homogeneous yielding, heretofore taken for granted, is analyzed with or without strain and strain-rate hardening effects. We close by discussing the thermodynamic consistency of this new class of constitutive relations and a link to strain-gradient theories.
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DOI：
--
发表时间：
1975
期刊：
影响因子：
--
作者：
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通讯作者：
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影响因子：
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作者：
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通讯作者：
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影响因子：
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作者：
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通讯作者：
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DOI：
--
发表时间：
2014
期刊：
影响因子：
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作者：
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通讯作者：
M. Fournage
延性破坏中的洛德效应分析
影响因子：
5.3
作者：
Torki, M.E.;Keralavarma, S.M.;Benzerga, A.A.
通讯作者：
Benzerga, A.A.