Periodic unfolding and homogenization. (English. Abridged French version) Zbl 1001.49016

Summary: A novel approach to periodic homogenization is proposed, based on an unfolding method, which leads to a fixed domain problem (without singularly oscillating coefficients). This method is elementary in nature and applies to cases of periodic multi-scale problems in domains with or without holes (including truss-like structures).


49J45 Methods involving semicontinuity and convergence; relaxation
74Q10 Homogenization and oscillations in dynamical problems of solid mechanics
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