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Homogenization of nonlinear variational problems with thin inclusions. (English) Zbl 1243.49014

Summary: We are concerned in this work with the asymptotic behavior of an assemblage whose components are a thin inclusion with higher rigidity modulus included into an elastic body. We aim at finding the approximating energy functional of the above structure in a \(\Gamma\)-convergence framework, and making use also of the subadditive theorem and the blow-up method.

MSC:

49J45 Methods involving semicontinuity and convergence; relaxation
60G10 Stationary stochastic processes
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