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A Finite Points Method Approach for Strain Localization Using the Gradient Plasticity Formulation

机译:梯度塑性公式的应变局部化有限点方法

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摘要

The softening elastoplastic models present an unsuitable behavior after reaching the yield strength: unbounded strain localization. Because of the material instability, which is reflected in the loss of ellipticity of the governing partial differential equations, the solution depends on the discretization. The present work proposes to solve this dependency using the meshless Finite Points Method. This meshfree spatial discretization technique allows enriching the governing equations using gradient's plasticity and introducing an internal length scale parameter at the material model in order to objectify the solution.
机译:达到屈服强度后,软化的弹塑性模型呈现出不合适的行为:无限的应变局部化。由于材料的不稳定性(反映在控制性偏微分方程的椭圆度的损失中),解决方案取决于离散化。本工作提出使用无网格有限点方法来解决这种依赖性。这种无网格的空间离散化技术允许使用梯度的可塑性来丰富控制方程,并在材料模型中引入内部长度比例参数以使解决方案客观化。

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  • 来源
    《Mathematical Problems in Engineering》 |2014年第21期|782079.1-782079.12|共12页
  • 作者单位

    Univ Tecn Federico Santa Maria, Dept Mech Engn, Valparaiso, Chile.;

    Univ Tecn Federico Santa Maria, Dept Mech Engn, Valparaiso, Chile.;

    Univ Tecn Federico Santa Maria, Adv Ctr Elect & Elect Engn, Basal Project FB0008, Dept Mech Engn, Valparaiso, Chile.;

    Univ Politecn Cataluna, Int Ctr Numer Methods Engn CIMNE, ES-08034 Barcelona, Spain.;

    Univ Politecn Cataluna, Lab Calcul Numer LaCaN, ES-08034 Barcelona, Spain.;

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