TY - JOUR
T1 - Nonlinear effects in the extension of an elastic space containing a wavy layer inclusion
AU - Chiskis, A.
AU - Parnes, R.
N1 - Funding Information:
The authors wish to thank Prof. Leonid Slepyan for several useful discussions during the course of this investigation. This research was partially supported by Grant No. 9673-1-96 from the Ministry of Science, Israel and by Grant No. 94-00349 from the United States-israel Binational Science Foundation (BSF), Jerusalem, Israel.
PY - 1998/7
Y1 - 1998/7
N2 - two-dimensional problem of extension of an infinite isotropic elastic space (the matrix) containing an infinite, solitary, elastic, periodically wavy layer inclusion, having both bending and axial rigidities, is considered. Geometric nonlinearity of the layer and the matrix are taken into account as well as physical nonlinearity of the matrix material. A general procedure for an arbitrary periodic inclusion is developed. Explicit analytical solutions for a typical case of a cosinusoidal inclusion having small initial waviness are presented and are found to depend solely on parameters defined by stiffness and thickness ratios of the matrix/inclusion system. Numerical results describing the deformation of the layer and the stress field in the matrix are presented for a wide range of the matrix/inclusion parameters. It is shown that within the range of small to moderate strains physical nonlinearity can have significant influence on the behavior and be a controlling factor in possible modes of failure, namely by delamination or crack initiation in the matrix.
AB - two-dimensional problem of extension of an infinite isotropic elastic space (the matrix) containing an infinite, solitary, elastic, periodically wavy layer inclusion, having both bending and axial rigidities, is considered. Geometric nonlinearity of the layer and the matrix are taken into account as well as physical nonlinearity of the matrix material. A general procedure for an arbitrary periodic inclusion is developed. Explicit analytical solutions for a typical case of a cosinusoidal inclusion having small initial waviness are presented and are found to depend solely on parameters defined by stiffness and thickness ratios of the matrix/inclusion system. Numerical results describing the deformation of the layer and the stress field in the matrix are presented for a wide range of the matrix/inclusion parameters. It is shown that within the range of small to moderate strains physical nonlinearity can have significant influence on the behavior and be a controlling factor in possible modes of failure, namely by delamination or crack initiation in the matrix.
KW - A. delamination
KW - B. finite strain
KW - B. layered material
KW - B. nonlinear constitutive behavior
KW - B. strain compatibility
UR - http://www.scopus.com/inward/record.url?scp=0032115377&partnerID=8YFLogxK
U2 - 10.1016/S0022-5096(98)00012-X
DO - 10.1016/S0022-5096(98)00012-X
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AN - SCOPUS:0032115377
SN - 0022-5096
VL - 46
SP - 1213
EP - 1251
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
IS - 7
ER -