TY - JOUR
T1 - The debonding of elastic inclusions and inhomogeneities
AU - Levy, Alan J.
N1 - Funding Information:
This work was supportedi n part by the [J.S. Army Materials Technology Laboratory through their swnmcr l’aculty rcscarch program. The author gratefully acknowlcdgcs the helpful comments of D. TKACXY. A. NMDLEMAN and L. BANK.
PY - 1991
Y1 - 1991
N2 - This paper presents an anlytical study of the debonding of planar elastic inclusions and inhomogeneities. The standard inhomogeneity and inclusion (transformation) problems of Eshelby, which require a coherent interface, are reconsidered to allow for debonding. It is assumed that the inclusion or inhomogeneity interacts with the matrix through a prescribed interface force law which depends on the displacement jump at the interface. The solution procedure, which is not dependent on a particular inhomogeneity or inclusion geometry, force law or even planar elasticity, ultimately leads to a pair of integral equations governing the displacement jump at the interface. Detailed analytical solutions to the circular inclusion and inhomogeneity problems are obtained for the case where the interfacial traction varies linearly with displacement jump across the interface.
AB - This paper presents an anlytical study of the debonding of planar elastic inclusions and inhomogeneities. The standard inhomogeneity and inclusion (transformation) problems of Eshelby, which require a coherent interface, are reconsidered to allow for debonding. It is assumed that the inclusion or inhomogeneity interacts with the matrix through a prescribed interface force law which depends on the displacement jump at the interface. The solution procedure, which is not dependent on a particular inhomogeneity or inclusion geometry, force law or even planar elasticity, ultimately leads to a pair of integral equations governing the displacement jump at the interface. Detailed analytical solutions to the circular inclusion and inhomogeneity problems are obtained for the case where the interfacial traction varies linearly with displacement jump across the interface.
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U2 - 10.1016/0022-5096(91)90037-O
DO - 10.1016/0022-5096(91)90037-O
M3 - Article
AN - SCOPUS:0000192806
SN - 0022-5096
VL - 39
SP - 477
EP - 505
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
IS - 4
ER -