Modeling of crack repair using piezoelectric material: XFEM approach

Abstract

<jats:sec> <jats:title content-type="abstract-subheading">Purpose</jats:title> <jats:p>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.</jats:p> </jats:sec> <jats:sec> <jats:title content-type="abstract-subheading">Design/methodology/approach</jats:title> <jats:p>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.</jats:p> </jats:sec> <jats:sec> <jats:title content-type="abstract-subheading">Findings</jats:title> <jats:p>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.</jats:p> </jats:sec> <jats:sec> <jats:title content-type="abstract-subheading">Originality/value</jats:title> <jats:p>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.</jats:p> </jats:sec>

Review of Piezoelectric Actuator Applications in Damaged Structures: Challenges and Opportunities

“…The efficacy of the repair is quantified in terms of SIF/J-integral, and the critical voltage at which patch repair is most successful is determined. In addition, the patch shape and dimensions were changed for effective repair under thermomechanical loading using the extended FE technique . Analysis of three-dimensional cracks with different types of defects of piezoelectric materials has been modeled using the FE method to define the material stress, electric strength and displacement, crack interaction, and crack growth, and characterization of in-plane piezoelectric actuators was shown in different studies.…”

“…In addition, they have used multiple piezoelectric materials for sensing as well as actuating. Generally, the sensor will be utilized to measure the voltage and actuator to produce the forces to reduce SIFs . Experiments were performed to determine the crack repair in a thin plate using PZT actuators .…”

“…In addition, the patch shape and dimensions were changed for effective repair under thermomechanical loading using the extended FE technique. 102 Analysis of three-dimensional cracks with different types of defects of piezoelectric materials has been modeled using the FE method to define the material stress, electric strength and displacement, 103 crack interaction, 104 and crack growth, 105 and characterization of in-plane piezoelectric actuators 106 was shown in different studies. A numerical study of smart structures with PZT actuators to enhance surface integrity has been shown to improve the toughness of the structure, and also the proper way of using the PZT actuators to delay the crack initiation under extreme loads was shown.…”

“…They approached Generally, the sensor will be utilized to measure the voltage and actuator to produce the forces to reduce SIFs. 102 Experiments were performed to determine the crack repair in a thin plate using PZT actuators. 120 The authors show the two cases of their studies considering mechanical loading and thermos-mechanical loading conditions and determined the SIF with and without PZT for the mode I crack.…”

Modal analysis of cracked beam with a piezoelectric layer

“…Piezoelectric material was employed first as sensor/actuator for structural control [1][2][3][4] and then it has got an effective use for structural health monitoring [5][6][7][8][9][10][11] and repairing damaged structures [12][13][14][15][16][17]. Using piezoelectric material for controlling or monitoring structural behavior is essentially leading to analysis of the structures with piezoelectric components such as beams or plates with layers or patches.…”