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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Benchmarking on bifurcation and localization in J_2 plasticity for plane stress and plane strain conditions
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Benchmarking on bifurcation and localization in J_2 plasticity for plane stress and plane strain conditions

机译：平面应力和平面应变条件下J_2可塑性的分叉和局部化基准

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摘要

This paper studies the phenomenon of strain bifurcation and localization in J_2 plasticity under plane stress and plane strain conditions. Necessary conditions for the outcome of bifurcation, localization, stress boundedness and decohesion are analytically established. It is shown that the explicit consideration of these conditions allows for the determination of localization angles in certain situations of interest that can be used to conduct benchmark tests on finite element formulations. The relative merits of irreducible, (stabilized) mixed and (displacement and/or strain) enhanced formulations are discussed. Numerical examples show that the mixed displacement/pressure formulation is to be preferred to the standard irreducible schemes in order to predict correct failure mechanisms with localized patterns of plastic deformation. Mixed elements are shown to be practically free from mesh directional bias dependence.
机译：本文研究了在平面应力和平面应变条件下，J_2塑性中的应变分叉和局部化现象。通过分析确定了产生分叉，局部化，应力有界和脱粘的必要条件。结果表明，对这些条件的明确考虑可以确定某些特定情况下的定位角，这些定位角可用于对有限元公式进行基准测试。讨论了不可还原，（稳定）混合和（位移和/或应变）增强配方的相对优点。数值例子表明，混合位移/压力公式比标准不可简化方案更可取，以便预测具有局部塑性变形模式的正确破坏机制。混合元素显示出实际上不受网格方向偏差的依赖。

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  • 来源
  • 作者

    M. Cervera; M. Chiumenti; D. Di Capua;

  • 作者单位

    International Center for Numerical Methods in Engineering (CIMNE), Technical University of Catalonia (UPC), Edificio C1, Campus Norte, Jordi Cirona 1-3, 08034 Barcelona, Spain;

    International Center for Numerical Methods in Engineering (CIMNE), Technical University of Catalonia (UPC), Edificio C1, Campus Norte, Jordi Cirona 1-3, 08034 Barcelona, Spain;

    International Center for Numerical Methods in Engineering (CIMNE), Technical University of Catalonia (UPC), Edificio C1, Campus Norte, Jordi Cirona 1-3, 08034 Barcelona, Spain;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    bifurcation; strain localization; incompressibility; plasticity; softening and stabilization;

    机译：分叉应变定位不可压缩性可塑性;软化和稳定化;

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