TY - JOUR
T1 - On solutions of two-dimensional linear elastostatic and heat-transfer problems in the vicinity of singular points
AU - Yosibash, Zohar
N1 - 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.
PY - 1997/1
Y1 - 1997/1
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.
UR - http://www.scopus.com/inward/record.url?scp=0030938609&partnerID=8YFLogxK
U2 - 10.1016/S0020-7683(96)00006-6
DO - 10.1016/S0020-7683(96)00006-6
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AN - SCOPUS:0030938609
SN - 0020-7683
VL - 34
SP - 243
EP - 274
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
IS - 2
ER -