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| Theoretical analysis and numerical simulation of strain localization in nonlocal plasticity model |
| Received:June 20, 2010 Revised:December 29, 2010 |
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| DOI：10.7511/jslx201105016 |
| KeyWord:nonlocal plasticity strain localization characteristic length mesh dependency |
| Author | Institution |
| 吕玺琳 |
同济大学 地下建筑与工程系,上海 ; |
| 黄茂松 |
同济大学 岩土及地下工程教育部重点实验室,上海 |
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| 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. |