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Effect of interfacial compliance on bifurcation of a layer bonded to a substrate

Bigoni, D. and Ortiz, M. and Needleman, A. (1997) Effect of interfacial compliance on bifurcation of a layer bonded to a substrate. International Journal of Solids and Structures, 34 (33-34). pp. 4305-4326. ISSN 0020-7683. doi:10.1016/S0020-7683(97)00025-5.

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The effect of interfacial compliance on the bifurcation of a layer bonded to a substrate is analyzed. The bifurcation problem is formulated for hyperelastic, layered solids in plane strain. Attention is then confined to the problem of a layer of finite thickness on a half-space. The layer and substrate are subject to plane strain compression, with the compression axis parallel to the bond line. The materials in the layer and in the half-space are taken to be incrementally linear, incompressible solids, with most results presented for Mooney-Rivlin and J2-deformation theory constitutive relations. The limiting case of an undeforming half-space is also considered. The interface between the layer and the substrate is characterized by an incrementally linear traction rate vs velocity jump relation, so that a characteristic length is introduced. A variety of bifurcation modes are possible depending on the layer thickness, on the constitutive parameters of the layer and the substrate, and on the interface compliance. These include shear band modes for the layer and the substrate, and diffuse instability modes involving deformation in the layer and the substrate. For a sufficiently compliant interface, the mode with the lowest critical stress is a long (relative to the layer thickness) wavelength plate-like bending mode for the layer.

Item Type:Article
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Ortiz, M.0000-0001-5877-4824
Additional Information:© 1997 Elsevier. Received 19 June 1996, Revised 27 December 1996, Available online 15 September 1999. D.B. gratefully acknowledges the financial support of Italian M.U.R.S.T. 40%-1995 and thanks the Brown Exchange Program for having supported his visit to Brown University. M.O. and A.N. are grateful for support from the Materials Research Group on Micro- and Nano-Mechanics of Failure-Resistant Materials, funded at Brown University under NSF Grant DMR-9002994.
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Ministero dell'Università e della Ricerca Scientifico e Tecnologica (MURST)UNSPECIFIED
Brown UniversityUNSPECIFIED
Issue or Number:33-34
Record Number:CaltechAUTHORS:20171213-102809023
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Official Citation:D. Bigoni, M. Ortiz, A. Needleman, Effect of interfacial compliance on bifurcation of a layer bonded to a substrate, In International Journal of Solids and Structures, Volume 34, Issues 33–34, 1997, Pages 4305-4326, ISSN 0020-7683, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83883
Deposited By: Lydia Suarez
Deposited On:13 Dec 2017 18:47
Last Modified:15 Nov 2021 20:14

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