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A precise computation of stress intensity factor on the front of a convex planar crack
Author(s) -
Ascenzi Oscar,
Pareschi Lorenzo,
Segala Fausto
Publication year - 2002
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.425
Subject(s) - stress intensity factor , extrapolation , computation , planar , mathematics , regular polygon , quadrature (astronomy) , mathematical analysis , convex combination , convex set , geometry , convex optimization , computer science , algorithm , fracture mechanics , structural engineering , physics , engineering , optics , computer graphics (images)
In this paper, we consider a general integral expression for mode I stress intensity factor along the fronts of convex planar cracks. For this integral approximation, we develop a simple numerical quadrature formula on every convex set Ω which allows a precise estimation of the error. This permits the use of extrapolation techniques for the accurate computation of the integral. Copyright © 2002 John Wiley & Sons, Ltd.