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基于非局部塑性模型的应变局部化理论分析及数值模拟
引用本文: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
作者姓名:吕玺琳  黄茂松
作者单位:同济大学 地下建筑与工程系,上海 200092;;同济大学 岩土及地下工程教育部重点实验室,上海 200092
基金项目:国家自然科学基金青年科学基金(50908171);国家杰出青年科学基金(50825803)资助项目.
摘    要:通过求解一个第二类Fredholm方程,得到了基于非局部塑性软化模型的应变局部化问题理论解,结果表明,只有在当采用过非局部修正形式的非局部塑性软化模型才能得到应变局部化解,且得到的塑性应变分布和荷载响应依赖于所引入的特征长度及过非局部权参数。通过一维应变局部化有限元数值解,验证了非局部理论的引入能克服计算结果的网格敏感...

关 键 词:非局部塑性  应变局部化  特征长度  网格敏感性
收稿时间:2010-06-20
修稿时间:2010-12-29

Theoretical analysis and numerical simulation of strain localization in nonlocal plasticity model
L,#; Xi-lin and HUANG Mao-song. Theoretical analysis and numerical simulation of strain localization in nonlocal plasticity model[J]. Chinese Journal of Computational Mechanics, 2011, 28(5): 743-748
Authors:L&#   Xi-lin  HUANG Mao-song
Affiliation:Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China;;Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China
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 iteration were both obtained.
Keywords:nonlocal plasticity  strain localization  characteristic length  mesh dependency
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