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首页> 外文期刊>International journal of nanomechanics science and technology >MODEL OF ANISOTROPIC ELASTOPLASTICITY IN FINITE DEFORMATIONS ALLOWING FOR THE EVOLUTION OF THE SYMMETRY GROUP
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MODEL OF ANISOTROPIC ELASTOPLASTICITY IN FINITE DEFORMATIONS ALLOWING FOR THE EVOLUTION OF THE SYMMETRY GROUP

机译：对称群演化的有限变形各向异性弹塑性模型

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摘要

A constitutive model for finite deformation anisotropic elastoplasticity, developed within the framework of the multiplicative decomposition of the deformation gradient and of the theory of the structural tensors is discussed. The main goal of the paper is to analyze the extension of finite deformation plasticity to the case that material directions can evolve due to mechanical actions. This is obtained by considering the structural tensors as internal variables and introducing thermodynamic forces conjugated to them. The internal energy is assumed to depend on the elastic strain tensor and on the structural tensors, so that, employing Clausius-Duhem dissipation inequality, evolution equations for plastic deformation and for irreversible changes in the structural tensors are obtained that can consist of rotation of the material direction or also of the modification of the norm of the material directors. Examples show that the model can be used for studying the response of fiber materials like soft tissues, amorphous polymers, etc.
机译：讨论了在变形梯度的乘积分解和结构张量理论的框架内建立的有限变形各向异性弹塑性本构模型。本文的主要目的是分析有限变形塑性在材料方向由于机械作用而可能演变的情况下的扩展。这可以通过将结构张量视为内部变量并引入与其共轭的热力学力来获得。假定内部能量取决于弹性应变张量和结构张量，因此，利用克劳修斯－杜海姆耗散不等式，获得了塑性变形和结构张量不可逆变化的演化方程，该方程可以由旋转的张量组成。重要指导或重要董事准则的修改。实例表明，该模型可用于研究纤维材料（如软组织，无定形聚合物等）的响应。

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