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首页> 外文期刊>Applied Mathematical Modelling >Kinematic yield design computational homogenization of micro-structures using the stabilized iRBF mesh-free method
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Kinematic yield design computational homogenization of micro-structures using the stabilized iRBF mesh-free method

机译：使用稳定的IRBF无网线法测定微结构的运动率设计均质化

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摘要

This paper presents a novel numerical formulation based on kinematic theorem and homogenization theory for yield design of periodic heterogeneous materials. Macroscopic strength domains and failure mechanisms of such materials can be directly determined by solving an optimization problem formulated on a representative volume element (RVE). The integrated radial basis function (iRBF) mesh-free method is employed to approximate the fluctuating part of microscopic displacement field. The combination between nodal integration and conic programming leads to the fact that the resulting optimization problem can be solved efficiently, and that accurate solutions can be obtained with minimal computational cost. Various examples are investigated, demonstrating that the proposed method is able to approximate macroscopic limit surfaces of heterogeneous or composite materials, and is capable of capturing failure modes at micro-scale.
机译：本文介绍了基于运动学定理和均质化理论的新型数值制剂，用于屈服设计的周期性异质材料。通过求解在代表性体积元素（RVE）上配制的优化问题，可以直接确定这种材料的宏观强度域和失效机制。采用集成径向基函数（IRBF）网的方法来近似微观位移场的波动部分。节点集成和圆锥编程之间的组合导致所得到的优化问题可以有效地解决，并且可以以最小的计算成本获得准确的解决方案。研究了各种实例，证明所提出的方法能够近似异质或复合材料的宏观极限表面，并且能够在微尺度下捕获故障模式。

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  • 来源
    《Applied Mathematical Modelling》 |2021年第3期|322-334|共13页
  • 作者

    Phuc L.H. Ho; Canh V. Le; Phuong H. Nguyen;

  • 作者单位

    Department of Civil Engineering International University - VNU HCMC Vietnam Faculty of Civil Engineering HCMC University of Technology and Education Vietnam;

    Department of Civil Engineering International University - VNU HCMC Vietnam;

    Department of Civil Engineering International University - VNU HCMC Vietnam Faculty of Civil Engineering HCMC University of Technology and Education Vietnam;

  • 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

    Computational homogenization; Integrated radial basis function; Yield design; Conic programming;

    机译：计算均质化;集成径向基函数;产量设计;圆锥形规划;

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