Isogeometric treatment of large deformation contact and debonding problems with T-splines: a review

Within a setting where the isogeometric analysis (IGA) has been successful at bringing two different research fields together, i.e. Computer Aided Design (CAD) and numerical analysis, T-spline IGA is applied in this work to frictionless contact and mode-I debonding problems between deformable bodies...

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Main Author: Dimitri Rossana
Format: Article
Language:English
Published: De Gruyter 2015-02-01
Series:Curved and Layered Structures
Online Access:http://www.degruyter.com/view/j/cls.2015.2.issue-1/cls-2015-0005/cls-2015-0005.xml?format=INT
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author Dimitri Rossana
author_facet Dimitri Rossana
author_sort Dimitri Rossana
collection DOAJ
description Within a setting where the isogeometric analysis (IGA) has been successful at bringing two different research fields together, i.e. Computer Aided Design (CAD) and numerical analysis, T-spline IGA is applied in this work to frictionless contact and mode-I debonding problems between deformable bodies in the context of large deformations. Based on the concept of IGA, the smooth basis functions are adopted to describe surface geometries and approximate the numerical solutions, leading to higher accuracy in the contact integral evaluation. The isogeometric discretizations are here incorporated into an existing finite element framework by using Bézier extraction, i.e. a linear operator which maps the Bernstein polynomial basis on Bézier elements to the global isogeometric basis. A recently released commercial T-spline plugin for Rhino is herein used to build the analysis models adopted in this study.
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spelling doaj.art-afb6f187683749408a85c85f67b5914a2022-12-21T17:56:36ZengDe GruyterCurved and Layered Structures2353-73962015-02-012110.1515/cls-2015-0005cls-2015-0005Isogeometric treatment of large deformation contact and debonding problems with T-splines: a reviewDimitri Rossana0Department of Innovation Engineering, University of Salento, Lecce, ItalyWithin a setting where the isogeometric analysis (IGA) has been successful at bringing two different research fields together, i.e. Computer Aided Design (CAD) and numerical analysis, T-spline IGA is applied in this work to frictionless contact and mode-I debonding problems between deformable bodies in the context of large deformations. Based on the concept of IGA, the smooth basis functions are adopted to describe surface geometries and approximate the numerical solutions, leading to higher accuracy in the contact integral evaluation. The isogeometric discretizations are here incorporated into an existing finite element framework by using Bézier extraction, i.e. a linear operator which maps the Bernstein polynomial basis on Bézier elements to the global isogeometric basis. A recently released commercial T-spline plugin for Rhino is herein used to build the analysis models adopted in this study.http://www.degruyter.com/view/j/cls.2015.2.issue-1/cls-2015-0005/cls-2015-0005.xml?format=INT
spellingShingle Dimitri Rossana
Isogeometric treatment of large deformation contact and debonding problems with T-splines: a review
Curved and Layered Structures
title Isogeometric treatment of large deformation contact and debonding problems with T-splines: a review
title_full Isogeometric treatment of large deformation contact and debonding problems with T-splines: a review
title_fullStr Isogeometric treatment of large deformation contact and debonding problems with T-splines: a review
title_full_unstemmed Isogeometric treatment of large deformation contact and debonding problems with T-splines: a review
title_short Isogeometric treatment of large deformation contact and debonding problems with T-splines: a review
title_sort isogeometric treatment of large deformation contact and debonding problems with t splines a review
url http://www.degruyter.com/view/j/cls.2015.2.issue-1/cls-2015-0005/cls-2015-0005.xml?format=INT
work_keys_str_mv AT dimitrirossana isogeometrictreatmentoflargedeformationcontactanddebondingproblemswithtsplinesareview