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Elastic surface-substrate interactions. (English) Zbl 0926.74016
Summary: A theory for three-dimensional finite deformations of elastic solids with conforming elastic films attached to their bounding surfaces is described. The Gurtin-Murdoch theory incorporating elastic resistance of the film to strain is generalized to account for the effects of intrinsic flexural resistance. This modification yields a model that can be used to describe equilibrium deformations in the presence of compressive-surface stress fields. An associated variational theory is given and material symmetry considerations are discussed. The theory is illustrated by examples.

MSC:
74B20 Nonlinear elasticity
74K35 Thin films
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