替代应变率相关的超弹塑性材料模型

R. Jerabek, L. Écsi
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引用次数: 0

摘要

目前,基于乘法塑性的模型是在有限应变弹塑性框架下对超弹性材料的材料退化进行建模的。基础理论假设体的中间构形是局部无应力的,因此不存在满足相容条件的塑性变形场。假设是;然而,无论是数学上还是物理上,相关的材料模型都不是基于连续体的。本文提出了一种应变率相关的超弹塑性材料模型。该模型基于弹塑性介质有限变形的非线性连续介质力学理论,能够客观、一致地描述塑性流动。因此,模型的应变率密度与模型材料单轴拉伸试验试样的应变率密度可以相互关联。本文采用带内阻尼的Mooney-Rivlin材料模型,对硅树脂十字形试样的动力特性进行了数值研究。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
ALTERNATIVE STRAIN-RATE DEPENDENT HYPERELASTIC-PLASTIC MATERIAL MODEL
: At present, multiplicative plasticity-based models are used to model material degradation of hyperelastic materials within the framework of finite-strain elastoplasticity. The underlying theory assumes that the intermediate configuration of the body is locally unstressed, and as a result, no plastic deformation field exists that meets the conditions of compatibility. The assumption is; however, neither mathematically nor physically justified and the related material models are not continuum-based. In this paper, an alternative strain-rate dependent hyperelastic-plastic material model is presented. Based on the theory of nonlinear continuum mechanics for finite deformation of elastoplastic media, the model can describe the plastic flow in an objective and thermodynamically consistent manner. Therefore the strain-rate density of the model and the specimen from the uniaxial tensile test of the modelled material can be related. In this paper, the dynamic behaviour of a silicone cross-shaped specimen is studied numerically using a Mooney-Rivlin material model with internal damping.
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