Localization analysis of an energy-based fourth-order gradient plasticity model
Localization analysis of an energy-based fourth-order gradient plasticity model
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DOI：
10.1016/j.euromechsol.2015.09.007
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发表时间：
2015-01
影响因子：
4.1
通讯作者：
O. Rokovs;J. Zeman;Milan Jir'asek
中科院分区：
文献类型：
--
作者：
O. Rokovs;J. Zeman;Milan Jir'asek
本文的目的是提供解析和数值解的局部塑性区的形成和演变的单轴加载杆具有可变的横截面面积。采用基于能量的变分方法，推导了具有线性各向同性软化的四阶显式梯度塑性模型的控制方程，并在弹塑性界面处设置了适当的物理边界条件、跳跃条件和正则性条件。四个例子，不同的屈服应力和应力分布的规律。结果的负荷水平，塑性区的大小，分布的塑性应变及其空间衍生物，塑性伸长率，和能量平衡的构造和另一个，以前讨论的非变分梯度制剂相比。
The purpose of this paper is to provide analytical and numerical solutions of the formation and evolution of the localized plastic zone in a uniaxially loaded bar with variable cross-sectional area. An energy-based variational approach is employed and the governing equations with appropriate physical boundary conditions, jump conditions, and regularity conditions at evolving elasto–plastic interface are derived for a fourth-order explicit gradient plasticity model with linear isotropic softening. Four examples that differ by regularity of the yield stress and stress distributions are presented. Results for the load level, size of the plastic zone, distribution of plastic strain and its spatial derivatives, plastic elongation, and energy balance are constructed and compared to another, previously discussed non-variational gradient formulation.