Non-convex rate dependent strain gradient crystal plasticity and deformation patterning
Non-convex rate dependent strain gradient crystal plasticity and deformation patterning
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非凸率相关应变梯度晶体塑性和变形图案
DOI：
10.1016/j.ijsolstr.2012.05.029
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发表时间：
2012
影响因子：
3.6
通讯作者：
M. Geers
中科院分区：
文献类型：
--
作者：
T. Yalçinkaya;W. Brekelmans;M. Geers
提出了一个以位移场和塑性滑移场为主要变量的应变率梯度晶体塑性框架。通过同时求解线性动量平衡和滑移演化方程来确定这些耦合场。该公式基于Yalcinkaya等人（2011）提出的1D理论，其中塑性滑移的图案化是通过唯象双阱塑性势在具有非凸能量硬化的系统中获得的。在当前的多维多滑移分析中，非凸性通过Ortiz和Repettto（1999）中提出的潜在硬化势进入框架，其中通过层压过程明确获得微观结构演变。目前的研究旨在隐式演变的变形模式，由于纳入基于物理的非凸势。
A rate dependent strain gradient crystal plasticity framework is presented where the displacement and the plastic slip fields are considered as primary variables. These coupled fields are determined on a global level by solving simultaneously the linear momentum balance and the slip evolution equation, which is derived in a thermodynamically consistent manner. The formulation is based on the 1D theory presented in Yalcinkaya et al. (2011), where the patterning of plastic slip is obtained in a system with non-convex energetic hardening through a phenomenological double-well plastic potential. In the current multi-dimensional multi-slip analysis the non-convexity enters the framework through a latent hardening potential presented in Ortiz and Repettto (1999) where the microstructure evolution is obtained explicitly via a lamination procedure. The current study aims the implicit evolution of deformation patterns due to the incorporated physically based non-convex potential.