A simple orthotropic finite elasto–plasticity model based on generalized stress–strain measures
A simple orthotropic finite elasto–plasticity model based on generalized stress–strain measures
复制标题
基于广义应力应变测量的简单正交各向异性有限弹塑性模型
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
Jochen Löblein
中科院分区：
文献类型：
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作者：
J. Schröder;F. Gruttmann;Jochen Löblein
本文提出了一种基于广义应力-应变测度的有限应变正交各向异性弹塑性公式，该公式在一种特殊情况下可归结为所谓的Green-Naghdi理论。主要目标是在不变量理论中表示控制本构方程。引入附加参数张量，即所谓的结构张量，将各向异性本构方程，特别是自由能函数、屈服准则、应力响应和流动规律，用标量值和张量值各向同性张量函数来表示。为了保持无穷小弹塑性理论的简单加性结构，该模型采用广义应力-应变方法。详细推导了应力和模量的张量发生器，并讨论了一些有代表性的数值算例。
Abstract In this paper we present a formulation of orthotropic elasto-plasticity at finite strains based on generalized stress–strain measures, which reduces for one special case to the so-called Green–Naghdi theory. The main goal is the representation of the governing constitutive equations within the invariant theory. Introducing additional argument tensors, the so-called structural tensors, the anisotropic constitutive equations, especially the free energy function, the yield criterion, the stress-response and the flow rule, are represented by scalar-valued and tensor-valued isotropic tensor functions. The proposed model is formulated in terms of generalized stress–strain measures in order to maintain the simple additive structure of the infinitesimal elasto-plasticity theory. The tensor generators for the stresses and moduli are derived in detail and some representative numerical examples are discussed.