On solutions of two-dimensional linear elastostatic and heat-transfer problems in the vicinity of singular points

Zohar Yosibash

doi:10.1016/S0020-7683(96)00006-6

On solutions of two-dimensional linear elastostatic and heat-transfer problems in the vicinity of singular points

Zohar Yosibash

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

Singular points associated with the linear theories of steady-state heat transfer and elasticity are discussed. Exact solutions for a set of benchmark problems consisting of crack tips, wedge corners of different angles and materials and internal multi-material interfaces in isotropic as well as anisotropic materials are provided and described in detail. Both the generalized flux/stress intensity factors (GFIFs/GSIFs) and the eigenfunctions are explicitly presented. The efficiency, robustness and accuracy of new numerical methods based on the p-version of the finite element method are demonstrated on the basis of the benchmark problems.

Original language	English
Pages (from-to)	243-274
Number of pages	32
Journal	International Journal of Solids and Structures
Volume	34
Issue number	2
DOIs	https://doi.org/10.1016/S0020-7683(96)00006-6
State	Published - 1 Jan 1997

ASJC Scopus subject areas

Modeling and Simulation
Materials Science (all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/S0020-7683(96)00006-6

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title = "On solutions of two-dimensional linear elastostatic and heat-transfer problems in the vicinity of singular points",

abstract = "Singular points associated with the linear theories of steady-state heat transfer and elasticity are discussed. Exact solutions for a set of benchmark problems consisting of crack tips, wedge corners of different angles and materials and internal multi-material interfaces in isotropic as well as anisotropic materials are provided and described in detail. Both the generalized flux/stress intensity factors (GFIFs/GSIFs) and the eigenfunctions are explicitly presented. The efficiency, robustness and accuracy of new numerical methods based on the p-version of the finite element method are demonstrated on the basis of the benchmark problems.",

author = "Zohar Yosibash",

note = "Funding Information: Acknowledgements-The writer gratefully acknowledges helpful advice and discussions with Professor Barna A. Szabo of Washington University in St Louis. The writer thanks Prof. 1. P. Dempsey of Clarkson University, U.S.A. for bringing to his attention papers related to logarithmic stress singularities and singularities associated with anisotropic materials, and Dr Andre Noel of the CCM at Washington University in St Louis for his comments on the manuscript. The work reported herein was partially supported by the Air Force Office of Scientific Research under grant No. F49620-93-1-0173.",

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N2 - Singular points associated with the linear theories of steady-state heat transfer and elasticity are discussed. Exact solutions for a set of benchmark problems consisting of crack tips, wedge corners of different angles and materials and internal multi-material interfaces in isotropic as well as anisotropic materials are provided and described in detail. Both the generalized flux/stress intensity factors (GFIFs/GSIFs) and the eigenfunctions are explicitly presented. The efficiency, robustness and accuracy of new numerical methods based on the p-version of the finite element method are demonstrated on the basis of the benchmark problems.

AB - Singular points associated with the linear theories of steady-state heat transfer and elasticity are discussed. Exact solutions for a set of benchmark problems consisting of crack tips, wedge corners of different angles and materials and internal multi-material interfaces in isotropic as well as anisotropic materials are provided and described in detail. Both the generalized flux/stress intensity factors (GFIFs/GSIFs) and the eigenfunctions are explicitly presented. The efficiency, robustness and accuracy of new numerical methods based on the p-version of the finite element method are demonstrated on the basis of the benchmark problems.

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On solutions of two-dimensional linear elastostatic and heat-transfer problems in the vicinity of singular points

Abstract

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