TY - JOUR
T1 - Evaluation of stress concentration factors and stress intensity factors from remote boundary data
AU - Hwu, Chyanbin
AU - Liang, Y. C.
N1 - Funding Information:
The authors would like to thank the National Science Council for their support through grants NSC 85-2212-E006-059 and NSC 87-2212-E-006-090.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2000/10/11
Y1 - 2000/10/11
N2 - Usually, the stress concentration factors (SCFs) for holes and the stress intensity factors (SIFs) for cracks are evaluated by using the data near holes or cracks. However, the abrupt change of the stresses near holes, especially near crack tips, may lead to an unavoidable error. Thus, it is always interesting to find an equivalent formulation for SCF and SIF by using only remote boundary responses (displacements, stresses and strains) cooperating with the necessary geometric data. Through a special boundary element formulation of which the fundamental solution was derived using Stroh's formalism for two-dimensional anisotropic elasticity, all the internal stresses and strains can be expressed in terms of the boundary (not including the hole and crack boundaries) displacements and tractions. By proper mathematical manipulation, a closed form solution for SIF of the internal crack and SCF of the internal hole, expressed by using only remote boundary displacements and tractions, is derived in this paper. To show that the proposed formula is accurate and efficient, several numerical examples are presented.
AB - Usually, the stress concentration factors (SCFs) for holes and the stress intensity factors (SIFs) for cracks are evaluated by using the data near holes or cracks. However, the abrupt change of the stresses near holes, especially near crack tips, may lead to an unavoidable error. Thus, it is always interesting to find an equivalent formulation for SCF and SIF by using only remote boundary responses (displacements, stresses and strains) cooperating with the necessary geometric data. Through a special boundary element formulation of which the fundamental solution was derived using Stroh's formalism for two-dimensional anisotropic elasticity, all the internal stresses and strains can be expressed in terms of the boundary (not including the hole and crack boundaries) displacements and tractions. By proper mathematical manipulation, a closed form solution for SIF of the internal crack and SCF of the internal hole, expressed by using only remote boundary displacements and tractions, is derived in this paper. To show that the proposed formula is accurate and efficient, several numerical examples are presented.
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U2 - 10.1016/S0020-7683(99)00245-0
DO - 10.1016/S0020-7683(99)00245-0
M3 - Article
AN - SCOPUS:0033723881
SN - 0020-7683
VL - 37
SP - 5957
EP - 5972
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
IS - 41
ER -