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A strongly objective, robust integration algorithm for Eulerian evolution equations modeling general anisotropic elastic-inelastic material response
Finite Elements in Analysis and Design ( IF 3.1 ) Pub Date : 2020-09-01 , DOI: 10.1016/j.finel.2020.103422
Martin Kroon , M.B. Rubin

Abstract A background to the constitutive modeling of elastic-inelastic material response is provided to highlight the uniqueness of the Eulerian formulation of general nonlinear fully anisotropic thermoelastic-inelastic materials proposed in Rubin (1994) [1]. This model introduced Eulerian evolution equations for a triad of microstructural vectors that characterize elastic deformations and anisotropic orientations. Components of tensors which transform like the Cauchy stress referred to these vectors are insensitive to superposed rigid body motions so they can be used to formulate general elastically and inelastically anisotropic constitutive equations. This paper develops a strongly objective, robust numerical algorithm for integrating the evolution equations for the microstructural vectors. This algorithm can easily be implemented into computer codes to simplify the use of general anisotropic constitutive equations for thermoelastic-inelastic material response.

中文翻译:

一种用于建模一般各向异性弹性-非弹性材料响应的欧拉演化方程的强客观、鲁棒的积分算法

摘要 提供了弹性-非弹性材料响应的本构建模背景,以突出 Rubin (1994) [1] 中提出的一般非线性完全各向异性热弹性-非弹性材料的欧拉公式的独特性。该模型引入了用于表征弹性变形和各向异性取向的微观结构向量三元组的欧拉演化方程。与这些向量相关的柯西应力一样变换的张量分量对叠加的刚体运动不敏感,因此它们可用于制定一般的弹性和非弹性各向异性本构方程。本文开发了一种高度客观、稳健的数值算法,用于对微观结构向量的演化方程进行积分。
更新日期:2020-09-01
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