A numerical basis for strain-gradient plasticity theory: Rate-independent and rate-dependent formulations
A numerical basis for strain-gradient plasticity theory: Rate-independent and rate-dependent formulations
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DOI：
10.1016/j.jmps.2013.09.018
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发表时间：
2014-02-01
影响因子：
5.3
通讯作者：
Niordson, C. F.
中科院分区：
文献类型：
--
作者：
Nielsen, K. L.;Niordson, C. F.
Fleck和Willis [2009年]的高阶流理论（速率无关）的数值模型公式。应变梯度塑性理论的数学基础-第二部分：张量塑性乘子。Journal of the Mechanics and Physics of Solids 57，1045-1057.]，允许弹塑性加载/卸载和多个塑性区的相互作用。预测的模型响应进行了比较，相应的ratedependent版本的粘塑性起源，并获得一致的结果在小应变率敏感性的限制。首先，（i）一个单一的塑性区的演变进行了分析，以说明协议与早期公布的结果，然后（ii）多个塑性区的相互作用，和（iii）弹塑性加载/卸载的例子。本文考虑了刚性板间约束无限大板的简单剪切问题，考虑了应变梯度、应变硬化和速率敏感性的影响。为了清楚的结果，一个1D模型的构造后，适用于推广到2D和3D的程序。(C)2013爱思唯尔有限公司保留所有权利。
A numerical model formulation of the higher order flow theory (rate-independent) by Fleck and Willis [2009. A mathematical basis for strain-gradient plasticity theory - part II: tensorial plastic multiplier. Journal of the Mechanics and Physics of Solids 57, 1045-1057.], that allows for elastic-plastic loading/unloading and the interaction of multiple plastic zones, is proposed. The predicted model response is compared to the corresponding ratedependent version of visco-plastic origin, and coinciding results are obtained in the limit of small strain-rate sensitivity. First, (i) the evolution of a single plastic zone is analyzed to illustrate the agreement with earlier published results, whereafter examples of (ii) multiple plastic zone interaction, and (iii) elastic-plastic loading/unloading are presented. Here, the simple shear problem of an infinite slab constrained between rigid plates is considered, and the effect of strain gradients, strain hardening and rate sensitivity is brought out. For clarity of results, a 1D model is constructed following a procedure suitable for generalization to 2D and 3D. (C) 2013 Elsevier Ltd. All rights reserved.