计算力学学报2011，Vol.28Issue(5)：743-748,6.
基于非局部塑性模型的应变局部化理论分析及数值模拟
Theoretical analysis and numerical simulation of strain localization in nonlocal plasticity model
摘要
Abstract
By solving a Fredholm equation of the second kind, the analytical solution was derived for strain localization in nonlocal softening material, the solutions show that the distributions of plastic strain and load-displacement curve rely on the characteristic length and nonlocal parameter. It was validated by one-dimensional numerical solution that nonlocal model could make the distributions of plastic strain and the global load-displacement response mesh independent and approaching to analytical solutions with mesh refinement. The nonlocal formulation of softening plasticity was employed in the numerical simulation of strain localization in bi-axial compression test. The influence of the over-nonlocal parameter and characteristic length on the numerical results and the convergence of the equilibrium itera- tion were both obtained.关键词
非局部塑性/应变局部化/特征长度/网格敏感性Key words
nonlocal plasticity/strain localization/characteristic length/mesh dependency分类
数理科学引用本文复制引用
吕玺琳,黄茂松..基于非局部塑性模型的应变局部化理论分析及数值模拟[J].计算力学学报,2011,28(5):743-748,6.基金项目
国家自然科学基金青年科学基金 （）
国家杰出青年科学基金（50825803）资助项目.致谢：本研究曾得到美国南加州大学Jean-PierreBardet教授的有益指导,在此表示衷心感谢. （）
