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A new method for essential boundary conditions imposition in explicit meshless methods

机译：显式无网格方法中强加基本边界条件的新方法

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摘要

In this paper we present a new technique of enforcing Essential Boundary Conditions (EBC) in Meshless Methods (MMs) based on the Element Free Galerkin (EFG) principles. Imposing EBC is a fundamental issue in MMs. The imposition of prescribed displacement values on the boundary in MMs based on approximating shape functions is not as straightforward as in the Finite Element Method (FEM) because the meshless shape functions are generally not interpolating at nodes. Furthermore, many techniques of enforcing EBC are not compatible with explicit time integration schemes. This paper describes a new method of imposing EBC in EFG based MMs suitable for explicit time integration, named Essential Boundary Conditions Imposition in Explicit Meshless (EBCIEM). The effectiveness of the proposed method is demonstrated using both 2D and 3D numerical examples.
机译：在本文中，我们基于无网格Galerkin（EFG）原理，提出了一种在无网格方法（MM）中强制执行基本边界条件（EBC）的新技术。实施EBC是MM中的基本问题。基于近似形状函数将指定位移值强加到MM中的边界上并不像有限元方法（FEM）中那样简单，因为无网格形状函数通常不会在节点处进行插值。此外，许多实施EBC的技术与明确的时间积分方案不兼容。本文介绍了一种在适用于显式时间积分的基于EFG的MM中强加EBC的新方法，称为显式无网格的本质边界条件强加（EBCIEM）。使用2D和3D数值示例都证明了该方法的有效性。

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  • 来源
    《Engineering analysis with boundary elements》 |2017年第7期|94-104|共11页
  • 作者

    Grand Roman Joldes; Habib Chowdhury; Adam Wittek; Karol Miller;

  • 作者单位

    Intelligent Systems for Medicine Laboratory, School of Mechanical and Chemical Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, Perth, WA 6009, Australia,School of Engineering and Information Technology, Murdoch University, 90 South St, Murdoch, Perth, WA 6150, Australia;

    Intelligent Systems for Medicine Laboratory, School of Mechanical and Chemical Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, Perth, WA 6009, Australia;

    Intelligent Systems for Medicine Laboratory, School of Mechanical and Chemical Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, Perth, WA 6009, Australia;

    Intelligent Systems for Medicine Laboratory, School of Mechanical and Chemical Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, Perth, WA 6009, Australia,School of Engineering, Cardiff University, The Parade, CF24 3AACardiff, United Kingdom;

  • 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

    Essential boundary conditions; Meshless methods; Explicit time integration; Element free galerkin; Non-interpolating shape functions;

    机译：基本边界条件;无网格方法;明确的时间整合;无元素的galerkin;非插值形状函数;

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