A 3D-2D dimension reduction for a nonhomogeneous constrained energy is performed in the realm of Γ-convergence, and two-scale convergence for slender domains, providing an integral representation for the limit functional. Applications to supremal functionals are also given.

A note on dimension reduction for unbounded integrals with periodic microstructure via the unfolding method for slender domains / Zappale, Elvira. - In: EVOLUTION EQUATIONS AND CONTROL THEORY. - ISSN 2163-2480. - 6:(2017), pp. 299-318. [10.3934/eect.2017016]

A note on dimension reduction for unbounded integrals with periodic microstructure via the unfolding method for slender domains

ZAPPALE, Elvira
2017

Abstract

A 3D-2D dimension reduction for a nonhomogeneous constrained energy is performed in the realm of Γ-convergence, and two-scale convergence for slender domains, providing an integral representation for the limit functional. Applications to supremal functionals are also given.
2017
Dimensional reduction; homogenization; unbounded functionals; gradient constrained problems; supremal functionals.
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A note on dimension reduction for unbounded integrals with periodic microstructure via the unfolding method for slender domains / Zappale, Elvira. - In: EVOLUTION EQUATIONS AND CONTROL THEORY. - ISSN 2163-2480. - 6:(2017), pp. 299-318. [10.3934/eect.2017016]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1458158
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