Implementation of Virtual Crack Closure Technique for Damaged Composite Plates Using Higher-Order Layerwise Model

A higher-order layerwise model is proposed to determine stress intensity factors using virtual crack closure technique for single-edge-crack aluminum plates with patch repairs. The present method is based on p-convergent approach and adopts the concept of subparametric elements. In assumed displacem...

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Main Authors: Kwang S. Woo, Jae S. Ahn
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in Materials Science and Engineering
Online Access:http://dx.doi.org/10.1155/2015/684065
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author Kwang S. Woo
Jae S. Ahn
author_facet Kwang S. Woo
Jae S. Ahn
author_sort Kwang S. Woo
collection DOAJ
description A higher-order layerwise model is proposed to determine stress intensity factors using virtual crack closure technique for single-edge-crack aluminum plates with patch repairs. The present method is based on p-convergent approach and adopts the concept of subparametric elements. In assumed displacement fields, strain-displacement relations and three-dimensional constitutive equations of layers are obtained by combination of two- and one-dimensional shape functions. Thus, it allows independent implementation of p-refinement for in-plane and transversal displacements. In the proposed elements, the integrals of Legendre polynomials and Gauss-Lobatto technique are employed to interpolate displacement fields and to implement numerical quadrature, respectively. For verification of the present model, not only single-edge-crack plates but also V-notch aluminum plates are first analyzed. For patched aluminum plate with behavior of complexity, the accuracy and simplicity of the present model are shown with comparison of the results with previously published papers using the conventional three-dimensional finite elements based on h-refinement.
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spelling doaj-art-999b00290bef4b0096987e1cc1f7c5f02025-02-03T06:00:28ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422015-01-01201510.1155/2015/684065684065Implementation of Virtual Crack Closure Technique for Damaged Composite Plates Using Higher-Order Layerwise ModelKwang S. Woo0Jae S. Ahn1Department of Civil Engineering, Yeungnam University, 280 Daehak-Ro, Gyeongsan, Gyeongbuk 38541, Republic of KoreaSchool of General Education, Yeungnam University, 280 Daehak-Ro, Gyeongsan, Gyeongbuk 38541, Republic of KoreaA higher-order layerwise model is proposed to determine stress intensity factors using virtual crack closure technique for single-edge-crack aluminum plates with patch repairs. The present method is based on p-convergent approach and adopts the concept of subparametric elements. In assumed displacement fields, strain-displacement relations and three-dimensional constitutive equations of layers are obtained by combination of two- and one-dimensional shape functions. Thus, it allows independent implementation of p-refinement for in-plane and transversal displacements. In the proposed elements, the integrals of Legendre polynomials and Gauss-Lobatto technique are employed to interpolate displacement fields and to implement numerical quadrature, respectively. For verification of the present model, not only single-edge-crack plates but also V-notch aluminum plates are first analyzed. For patched aluminum plate with behavior of complexity, the accuracy and simplicity of the present model are shown with comparison of the results with previously published papers using the conventional three-dimensional finite elements based on h-refinement.http://dx.doi.org/10.1155/2015/684065
spellingShingle Kwang S. Woo
Jae S. Ahn
Implementation of Virtual Crack Closure Technique for Damaged Composite Plates Using Higher-Order Layerwise Model
Advances in Materials Science and Engineering
title Implementation of Virtual Crack Closure Technique for Damaged Composite Plates Using Higher-Order Layerwise Model
title_full Implementation of Virtual Crack Closure Technique for Damaged Composite Plates Using Higher-Order Layerwise Model
title_fullStr Implementation of Virtual Crack Closure Technique for Damaged Composite Plates Using Higher-Order Layerwise Model
title_full_unstemmed Implementation of Virtual Crack Closure Technique for Damaged Composite Plates Using Higher-Order Layerwise Model
title_short Implementation of Virtual Crack Closure Technique for Damaged Composite Plates Using Higher-Order Layerwise Model
title_sort implementation of virtual crack closure technique for damaged composite plates using higher order layerwise model
url http://dx.doi.org/10.1155/2015/684065
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