TY - JOUR
T1 - Stress intensity factors computations using the singularity subtraction technique incorporated with the Tau Method
AU - Pan, Chi-Kin
AU - Liu, Kam-Moon
PY - 1998
Y1 - 1998
N2 - In this paper we discuss the use of the singularity subtraction technique incorporated with the Tau Method for the numerical solution of singular partial differential equations which are relevant to the linear elastic fracture mechanics. To treat the singularity, we apply the singularity subtraction technique to the singular boundary value problems. The problems arising in this application are not in the standard form required by the Tau software. By introducing the pseudo-differential equations, λk1 = 0, k = 1(1) m, to determine the stress intensity and higher order factors λk results in the standard boundary value problems. We consider two model crack problems including Motz' anti-plane crack problem and a plane strain problem defined by the biharmonic equation. We obtain results of considerable accuracy which compare favorably with those published in the recent literature.
AB - In this paper we discuss the use of the singularity subtraction technique incorporated with the Tau Method for the numerical solution of singular partial differential equations which are relevant to the linear elastic fracture mechanics. To treat the singularity, we apply the singularity subtraction technique to the singular boundary value problems. The problems arising in this application are not in the standard form required by the Tau software. By introducing the pseudo-differential equations, λk1 = 0, k = 1(1) m, to determine the stress intensity and higher order factors λk results in the standard boundary value problems. We consider two model crack problems including Motz' anti-plane crack problem and a plane strain problem defined by the biharmonic equation. We obtain results of considerable accuracy which compare favorably with those published in the recent literature.
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M3 - 22_Publication in policy or professional journal
VL - 5
SP - 55
EP - 64
JO - Computer Assisted Mechanics and Engineering Sciences
JF - Computer Assisted Mechanics and Engineering Sciences
SN - 1232-308X
IS - 1
ER -