An isogeometric-meshfree collocation approach for two-dimensional elastic fracture problems with contact loading

A strong form-based isogeometric-meshfree moving least-squares collocation (IMMLS-C) approach is developed for two-dimensional linear elastic fracture problems with contact loading. The IMMLS-C approach uses reproducing conditions to establish an equivalence between MLS shape functions and isogeom...

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Main Authors: Li, Weidong, Nguyen-Thanh, Nhon, Zhou, Kun
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2021
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Online Access:https://hdl.handle.net/10356/154263
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1542632021-12-16T07:11:37Z An isogeometric-meshfree collocation approach for two-dimensional elastic fracture problems with contact loading Li, Weidong Nguyen-Thanh, Nhon Zhou, Kun School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering Adaptivity Isogeometric Analysis A strong form-based isogeometric-meshfree moving least-squares collocation (IMMLS-C) approach is developed for two-dimensional linear elastic fracture problems with contact loading. The IMMLS-C approach uses reproducing conditions to establish an equivalence between MLS shape functions and isogeometric basis functions. The advantages of this approach include the exact geometry representation, convenient crack modeling and flexible adaptive refinement. The IMMLS-C approach focuses on solving fracture problems based on strong formulations without requiring the numerical integration of Galerkin weak forms. Traction-free boundary conditions are enforced over a set of collocation points located on both sides of a crack surface. The displacement discontinuity along the crack surface is modeled by the visibility criterion and the singularity of near-tip stress fields is captured by adaptive mesh refinement without adding tipenrichment functions, thereby reducing the degrees of freedom compared with the extended finite element method. Moreover, contact constraints are enforced by introducing a penalty algorithm to the strong formulations. The numerical results demonstrate that the adaptive refinement is able to achieve a high convergence rate at a low computational cost. Nanyang Technological University National Research Foundation (NRF) This research work was conducted in the SMRT-NTU Smart Urban Rail Corporate Laboratory with funding support from the National Research Foundation (NRF), Singapore, SMRT, Singapore and Nanyang Technological University, Singapore. 2021-12-16T07:11:36Z 2021-12-16T07:11:36Z 2020 Journal Article Li, W., Nguyen-Thanh, N. & Zhou, K. (2020). An isogeometric-meshfree collocation approach for two-dimensional elastic fracture problems with contact loading. Engineering Fracture Mechanics, 223, 106779-. https://dx.doi.org/10.1016/j.engfracmech.2019.106779 0013-7944 https://hdl.handle.net/10356/154263 10.1016/j.engfracmech.2019.106779 223 106779 en Engineering Fracture Mechanics © 2019 Elsevier Ltd. All rights reserved.
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering::Mechanical engineering
Adaptivity
Isogeometric Analysis
spellingShingle Engineering::Mechanical engineering
Adaptivity
Isogeometric Analysis
Li, Weidong
Nguyen-Thanh, Nhon
Zhou, Kun
An isogeometric-meshfree collocation approach for two-dimensional elastic fracture problems with contact loading
description A strong form-based isogeometric-meshfree moving least-squares collocation (IMMLS-C) approach is developed for two-dimensional linear elastic fracture problems with contact loading. The IMMLS-C approach uses reproducing conditions to establish an equivalence between MLS shape functions and isogeometric basis functions. The advantages of this approach include the exact geometry representation, convenient crack modeling and flexible adaptive refinement. The IMMLS-C approach focuses on solving fracture problems based on strong formulations without requiring the numerical integration of Galerkin weak forms. Traction-free boundary conditions are enforced over a set of collocation points located on both sides of a crack surface. The displacement discontinuity along the crack surface is modeled by the visibility criterion and the singularity of near-tip stress fields is captured by adaptive mesh refinement without adding tipenrichment functions, thereby reducing the degrees of freedom compared with the extended finite element method. Moreover, contact constraints are enforced by introducing a penalty algorithm to the strong formulations. The numerical results demonstrate that the adaptive refinement is able to achieve a high convergence rate at a low computational cost.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Li, Weidong
Nguyen-Thanh, Nhon
Zhou, Kun
format Article
author Li, Weidong
Nguyen-Thanh, Nhon
Zhou, Kun
author_sort Li, Weidong
title An isogeometric-meshfree collocation approach for two-dimensional elastic fracture problems with contact loading
title_short An isogeometric-meshfree collocation approach for two-dimensional elastic fracture problems with contact loading
title_full An isogeometric-meshfree collocation approach for two-dimensional elastic fracture problems with contact loading
title_fullStr An isogeometric-meshfree collocation approach for two-dimensional elastic fracture problems with contact loading
title_full_unstemmed An isogeometric-meshfree collocation approach for two-dimensional elastic fracture problems with contact loading
title_sort isogeometric-meshfree collocation approach for two-dimensional elastic fracture problems with contact loading
publishDate 2021
url https://hdl.handle.net/10356/154263
_version_ 1720447199321522176