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

Elastic field prediction for a welding repaired material using a semi-analytical method
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使用半解析方法预测焊接修复材料的弹性场

DOI:
10.1016/j.apm.2021.07.007
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发表时间:
2021-11
影响因子:
5
通讯作者:
Nhan Phan-Thien
Nhan Phan-Thien
中科院分区:
工程技术2区
文献类型:
--
作者:
Yang Wanyou;Zhou Qinghua;Wang Jiaxu;Khoo Boo Cheong;Nhan Phan-Thien

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众所周知,焊道与其周围基体之间的材料失配会因不相容变形和/或什至裂纹再生而导致应力集中,从而极大地影响焊接修复材料的性能。本文开发了一种半解析方法(SAM)来解决远程拉伸载荷下具有自由表面的焊接修复材料的材料失配问题。采用包含未知特征应变的均质母材,通过等效包含法对异质焊道进行建模;然后采用数值离散化,并借助共轭梯度法迭代求解一组线性方程来确定每个计算元素内的特征应变。由特征应变产生的应力场可以通过使用先前导出的影响系数来获得。然后通过简单的有限元模型对 SAM 进行检查,并用于分析材料特性、长宽比、不同形状焊道的角度以及多个焊道之间的相互作用对应力分布的影响。 SAM 在处理与焊接材料中因特征应变引起的残余应力相关的问题方面可能有潜在的应用。
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.
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