TY - JOUR

T1 - The solution of axisymmetric problems near singular points and computation of stress intensity factors

AU - Yosibash, Zohar

AU - Szabó, Barna

N1 - Funding Information:
This research work has been supported by the Air Force Office of Scientific Research under Grant F49620-93-1-0173. This Support is gratefully acknowledged.

PY - 1995/2

Y1 - 1995/2

N2 - The computation of the stress intensity factors for axially symmetric domains, in the vicinity of singular points in the framework of linear elastostatics, is presented. It is shown that the decomposition of the solution in the neighborhood of any singular point, in an axisymmetric domain, is identical to the decomposition corresponding to plane strain condition, and an extraction vector, to be used in conjunction with the contour integral method and the p-version of the finite element method, is developed for crack singularities. Although the contour integral is shown to be path dependent for axisymmetric 2-D domains, in the limiting case it is valid for the computation of the crack stress intensity factors. Numerical examples support our analysis, extending the application of the superconvergent contour integral in conjunction with the p-version of the finite element method to the axisymmetric crack case.

AB - The computation of the stress intensity factors for axially symmetric domains, in the vicinity of singular points in the framework of linear elastostatics, is presented. It is shown that the decomposition of the solution in the neighborhood of any singular point, in an axisymmetric domain, is identical to the decomposition corresponding to plane strain condition, and an extraction vector, to be used in conjunction with the contour integral method and the p-version of the finite element method, is developed for crack singularities. Although the contour integral is shown to be path dependent for axisymmetric 2-D domains, in the limiting case it is valid for the computation of the crack stress intensity factors. Numerical examples support our analysis, extending the application of the superconvergent contour integral in conjunction with the p-version of the finite element method to the axisymmetric crack case.

UR - http://www.scopus.com/inward/record.url?scp=0029247206&partnerID=8YFLogxK

U2 - 10.1016/0168-874X(94)00061-J

DO - 10.1016/0168-874X(94)00061-J

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AN - SCOPUS:0029247206

SN - 0168-874X

VL - 19

SP - 115

EP - 129

JO - Finite Elements in Analysis and Design

JF - Finite Elements in Analysis and Design

IS - 1-2

ER -