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A linear complementarity formulation of meshfree method for elastoplastic analysis of gradient-dependent plasticity

机译：无网格法线性互补公式用于梯度塑性的弹塑性分析

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摘要

This work presents a linear complementarity formulation for elastoplastic analysis of the gradient-dependent plasticity including large deformation problems. The formulation is based on the meshfree smoothed radial point interpolation method, where the parametric variational principle (PVP) is used in the form of linear complementarity and the gradient-dependent plasticity is represented by the linearization of yield criterion. The yield stress is linearly evolved through equivalent plastic strain as well as its Laplacian (namely second gradient). The global discretized system equations are transformed into a standard linear complementarity problem (LCP), which can be solved readily using the Lemke method. The proposed approach is capable of simulating material hardening/softening and strain localization. An extensive numerical study is performed to validate the proposed method and to investigate the effects of various parameters. The numerical results demonstrate that the proposed approach is accurate and stable for the elastoplastic analysis of 2D solids with gradient-dependent plasticity on strain localization.
机译：这项工作提出了一种线性互补公式，用于对包括大变形问题在内的梯度相关塑性进行弹塑性分析。该公式基于无网格平滑径向点插值方法，其中以线性互补性形式使用参数变分原理（PVP），并且由屈服准则线性化表示与梯度相关的可塑性。屈服应力通过等效塑性应变及其拉普拉斯算子（即第二个梯度）线性发展。全局离散系统方程被转换为标准线性互补问题（LCP），可以使用Lemke方法轻松解决。所提出的方法能够模拟材料的硬化/软化和应变局部化。进行了广泛的数值研究，以验证所提出的方法并研究各种参数的影响。数值结果表明，所提出的方法对于应变局部化具有梯度相关可塑性的二维固体的弹塑性分析是准确而稳定的。

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  • 来源
    《Engineering analysis with boundary elements》 |2016年第12期|1-13|共13页
  • 作者

    Guiyong Zhang; Yong Li; Haiying Wang; Zhi Zong;

  • 作者单位

    State Key Laboratory of Structural Analysis for Industrial Equipment, School of Naval Architecture, Dalian University of Technology, Dalian 116024, PR China,School of Naval Architecture, Dalian University of Technology, 2 Linggong Road, Dalian 116024, China;

    Protective Technology Research Centre, Nanyang Technological University, Nanyang Avenue 639798, Singapore;

    Navigation and Naval Architecture College, Dalian Ocean University, Dalian 116023, PR China;

    State Key Laboratory of Structural Analysis for Industrial Equipment, School of Naval Architecture, Dalian University of Technology, Dalian 116024, PR China;

  • 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

    Elastoplastic analysis; Parametric variational principle; Gradient-dependent plasticity; Strain localization; Meshfree method;

    机译：弹塑性分析;参数变分原理;梯度依赖性可塑性;应变局部化;无网格法;

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