Computational homogenization analysis in finite plasticity -: Simulation of texture development in polycrystalline materials
Computational homogenization analysis in finite plasticity -: Simulation of texture development in polycrystalline materials
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DOI：
10.1016/s0045-7825(98)00218-7
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发表时间：
1999-04-09
影响因子：
7.2
通讯作者：
Schotte, J
中科院分区：
文献类型：
--
作者：
Miehe, C;Schröder, J;Schotte, J
本文提出了一个框架，用于处理一个均匀化的宏观连续与局部连接的微观结构，它经历了非等温非弹性变形在大应变。所提出的概念被施加到多晶金属，其中的微观结构由一个代表性的组装单晶晶粒的织构演化的模拟。这种微结构的变形与宏观连续体的典型材料点处的局部变形通过微观涨落场的三个交替约束耦合。在变形驱动的过程中，广泛的宏观变量，如应力和耗散被定义为在伴随的局部平衡状态的微观结构的体积平均值。建议的数值实现是基于在一般设置上的有限元离散化的宏观连续体，这是局部耦合在每个高斯点与有限元离散化的附加的微观结构。在本文的第一部分中，我们建立了两个耦合边值问题与宏观连续和逐点连接的微观结构，并考虑其有限元解方面。第二部分介绍了一个强大的算法模型的单晶有限塑性的细节，它管理在一个典型的微观结构的晶粒的响应。本文最后通过一些有代表性的数值例子，证明了所提出的概念在多晶体织构演化的预测方面的性能。(C)1999年Elsevier Science S.A. All rights reserved.
The paper presents a framework for the treatment of a homogenized macro-continuum with locally attached micro-structure, which undergoes non-isothermal inelastic deformations at large strains. The proposed concept is applied to the simulation of texture evolution in polycrystalline metals, where the micro-structure consists of a representative assembly of single crystal grains. The deformation of this micro-structure is coupled with the local deformation at a typical material point of the macro-continuum by three alternative constraints of the microscopic fluctuation field. In a deformation driven process, extensive macroscopic variables, like stresses and dissipation are defined as volume averages of their microscopic counterparts in an accompanying local equilibrium state of the micro-structure. The proposed numerical implementation is based in the general setting on a finite element discretization of the macro-continuum which is locally coupled at each Gauss point with a finite element discretization of the attached micro-structure. In the first part of the paper we set up the two coupled boundary value problems associated with the macro-continuum and the pointwise attached micro-structure and consider aspects of their finite element solutions. The second part presents details of a robust algorithmic model of finite plasticity for single crystals which governs the response of the grains in a typical micro-structure. The paper concludes with some representative numerical examples by demonstrating the performance of the proposed concept with regard to the prediction of texture evolution in polycrystals. (C) 1999 Elsevier Science S.A. All rights reserved.