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Investigating localization phenomena using finite element and meshless methods.

机译：使用有限元和无网格方法研究定位现象。

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摘要

This thesis investigates the validity of meshless methods and finite element methods in the investigation of strain localization phenomena in which is an important factor in many nonlinear solid mechanics problems. The term strain localization refers to the appearance of patterns of deformation that are restricted to narrow regions in the solid domain. Most often the deformation observed is that of shear, such a form of localization is referred to as a shear band. The thickness of typical shear bands for metals are approximately 10--30 mum which is typically orders of magnitude less than the dimensions of the specimen. Even with significant mesh refinement, it becomes difficult to observe this extremely small length scale with traditional numerical method.; Several benchmark problems are solved using traditional finite element methods and reproducing kernel particle method (RKPM) which is a particle meshless methods. These problems include tensile instability of a bar, pressure instability in a cylindrical shell, and the Kalthoff Problem. In addition a variety of material laws were employed for each method and problem; some of which include J2 plasticity and thermo-viscoplasticity. (Abstract shortened by UMI.)
机译：本文研究了无网格方法和有限元方法在应变局部化现象研究中的有效性，其中应变是许多非线性固体力学问题的重要因素。术语“应变局部化”是指变形模式的出现，变形模式仅限于实体域中的狭窄区域。最经常观察到的变形是剪切变形，这种局部化形式称为剪切带。金属的典型剪切带的厚度约为10--30微米，通常比试样的尺寸小几个数量级。即使对网格进行了很大的细化，也很难用传统的数值方法观察到这种极小的长度尺度。使用传统的有限元方法和再生核粒子法（RKPM）（无粒子方法）解决了几个基准问题。这些问题包括杆的拉伸不稳定性，圆柱壳中的压力不稳定性以及卡尔索夫问题。此外，每种方法和问题都采用了各种物质规律。其中一些包括J2可塑性和热粘塑性。 （摘要由UMI缩短。）

著录项

  • 作者

    Masillamani, Ponsingh David.;

  • 作者单位

    The University of Texas at El Paso.;

  • 授予单位 The University of Texas at El Paso.;
  • 学科 Engineering Mechanical.
  • 学位 M.S.
  • 年度 2004
  • 页码 119 p.
  • 总页数 119
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 机械、仪表工业;
  • 关键词

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