Purpose

The purpose of this paper is to analyze the repair of a straight and angular crack in the structure using a piezoelectric material under thermo-mechanical loading by the extended finite element method (XFEM) approach. This provides a general and simple solution for the modeling of crack in the structure to analyze the repair.

Design/methodology/approach

The extended finite element method is used to model crack geometry. The crack surface is modeled by Heaviside enrichment function while the crack front is modeled by branch enrichment functions.

Findings

The effectiveness of the repair is measured in terms of stress intensity factor and J-integral. The critical voltage at which patch repair is most effective is evaluated and presented. Optimal patch shape, location of patch, adhesive thickness and adhesive modulus are obtained for effective repair under thermo-mechanical loading environment.

Originality/value

The presented numerical modeling and simulation by the XFEM approach are of great benefit to analyze crack repair in two-dimensional and three-dimensional structures using piezoelectric patch material under thermo-mechanical loading.

中文翻译：

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使用压电材料的裂纹修复建模：XFEM方法

目的

本文的目的是通过扩展有限元方法（XFEM）分析使用压电材料在热机械载荷下修复结构中的直角裂纹。这为结构中的裂缝建模提供了通用而简单的解决方案，以分析修复情况。

设计/方法/方法

扩展的有限元方法被用来模拟裂纹的几何形状。裂纹表面通过Heaviside富集函数建模，而裂纹前沿通过分支富集函数建模。

发现

修复的有效性通过应力强度因子和J积分来衡量。评估并提出了补丁修复最有效的临界电压。获得最佳的贴剂形状，贴剂位置，胶粘剂厚度和胶粘剂模量，以便在热机械载荷环境下进行有效修复。

创意/价值

通过XFEM方法进行的数值建模和仿真，对于在热机械载荷下使用压电贴片材料分析二维和三维结构的裂纹修复具有很大的帮助。