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Elastic field prediction for a welding repaired material using a semi-analytical method

机译：使用半分析方法的焊接修复材料的弹性场预测

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摘要

Material mismatch between the welding bead and its surrounding matrix has been known to cause stress concentration due to incompatible deformation, and/or even crack regeneration, thus greatly affecting the performance of a welding repaired material. In this paper, a semi-analytical method (SAM) is developed to tackle problems for material mismatch in a welding repaired material with free surface under remote tensile loading. The heterogeneous welding bead is modeled by a homogeneous base material containing unknown eigenstrains through the equivalent inclusion method; after which a numerical discretization is adopted and the eigenstrains within each computational element are determined by iteratively solving a set of linear equations with the assistance of conjugate gradient method. Stress field arising from the eigenstrains can be obtained by employing previously derived influence coefficients. The SAM is then examined by a simple finite element model and utilized to analyze influences of material properties, aspect ratio, angle of differently shaped welding bead and interactions among multiple welding beads on the stress distribution. The SAM may have potential applications in dealing with problems related to residual stress in welded material due to eigenstrains.
机译：已知焊接珠及其周围基质之间的材料不匹配是由于不相容的变形和/或甚至裂纹再生引起应力浓度，从而大大影响了焊接修复材料的性能。在本文中，开发了一种半分析方法（SAM）以在远程拉伸载荷下具有自由表面的焊接修复材料中的材料不匹配的解决问题。通过等同的包覆法通过含有未知的特征串的均匀基础材料建模的异质焊珠;之后采用数值离散化，并且通过迭代地求解一组线性方程，通过缀合物梯度方法迭代地解决一组线性方程来确定数值离散化。通过采用先前衍生的影响系数，可以获得来自特征的应力场。然后通过简单的有限元模型检查SAM，并用于分析材料特性，纵横比，不同形状的焊接珠角的影响以及在应力分布上的多个焊接珠之间的相互作用。 SAM可能具有潜在的应用，用于处理由于特征阈与焊接材料中的残余应力相关的问题。

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  • 来源
    《Applied Mathematical Modelling》 |2021年第11期|566-584|共19页
  • 作者

    Wanyou Yang; Qinghua Zhou; Jiaxu Wang; Boo Cheong Khoo; Nhan Phan-Thien;

  • 作者单位

    School of Aeronautics and Astronautics Sichuan University Chengdu 610065 China Department of Mechanical Engineering National University of Singapore Singapore 117575 Singapore;

    School of Aeronautics and Astronautics Sichuan University Chengdu 610065 China;

    School of Aeronautics and Astronautics Sichuan University Chengdu 610065 China;

    Department of Mechanical Engineering National University of Singapore Singapore 117575 Singapore;

    Department of Mechanical Engineering National University of Singapore Singapore 117575 Singapore;

  • 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

    Semi-analytical method; Elastic field; Welding repair; Equivalent inclusion method; Remote tensile loading;

    机译：半分析方法;弹性场;焊接维修;等同的包容方法;远程拉伸装载;

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