TY - JOUR
T1 - A crack at the interface of two power-law hardening materials-Antiplane case
AU - Guo, Quanxin
AU - Keer, Leon M.
N1 - Funding Information:
The authorsw ouldlike to thankP rof. J. WEERTMANf or many useful discussionsa nd suggestionsH. elpful suggestionbsy a reviewer are also acknowledged. The authors are grateful for support from IBM in sponsoring this research.
PY - 1990
Y1 - 1990
N2 - The singular behavior near the crack tip at the interface between two power-law hardening materials is studied for the case of antiplane deformation. The stress-strain curves for both materials are approximated by segments that additively combine the perfectly plastic and linear elastic behaviors in such a way that within each segment the traction is continuous across the interface. The overall solution is obtained by summing a sufficiently large number of segments, leading to an integral representation. For power-law hardening materials with different hardening exponents, n1 and n2, two asymptotic solutions are obtained. One is the near crack tip asymptotic solution, which shows that the interfacial stress singularity near the crack tip is - l/(n+1),where n = max (n1, n2). The other one is obtained under the condition that one material is much harder than the other material, and can be considered as a rigid body.
AB - The singular behavior near the crack tip at the interface between two power-law hardening materials is studied for the case of antiplane deformation. The stress-strain curves for both materials are approximated by segments that additively combine the perfectly plastic and linear elastic behaviors in such a way that within each segment the traction is continuous across the interface. The overall solution is obtained by summing a sufficiently large number of segments, leading to an integral representation. For power-law hardening materials with different hardening exponents, n1 and n2, two asymptotic solutions are obtained. One is the near crack tip asymptotic solution, which shows that the interfacial stress singularity near the crack tip is - l/(n+1),where n = max (n1, n2). The other one is obtained under the condition that one material is much harder than the other material, and can be considered as a rigid body.
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U2 - 10.1016/0022-5096(90)90033-Z
DO - 10.1016/0022-5096(90)90033-Z
M3 - Article
AN - SCOPUS:1842871502
VL - 38
SP - 183
EP - 194
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
SN - 0022-5096
IS - 2
ER -