Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 48, Issue 3-4, Pages 441-449Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2010.10.006
Keywords
Thin film; Asymptotic analysis; Energy minimization; Contact law; Anisotropic material
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The mechanical problem of two elastic bodies separated by a thin elastic film is studied here. The stiffness of the three bodies is assumed to be similar. The asymptotic behavior of the film as its thickness tends to zero is studied using a method based on asymptotic expansions and energy minimization. Several cases of interphase material symmetry are studied (from isotropy to triclinic symmetry). In each case, non-local relations are obtained relating the jumps in the displacements and stress vector fields at order one to these fields at order zero. (C) 2010 Elsevier Ltd. All rights reserved.
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