We prove the Γ-convergence of a pantographic microstructured sheet with inextensible fibers to a 2D generalized continuum model. Large deformations considered as geometrical nonlinearities are taken into account, and the Γ-convergence argument is developed in terms of convergence of measure functionals. We also prove a relative compactness property for the sequence of discrete energy functionals.

Homogenization of nonlinear inextensible pantographic structures by Γ-convergence

Della Corte A.
2019-01-01

Abstract

We prove the Γ-convergence of a pantographic microstructured sheet with inextensible fibers to a 2D generalized continuum model. Large deformations considered as geometrical nonlinearities are taken into account, and the Γ-convergence argument is developed in terms of convergence of measure functionals. We also prove a relative compactness property for the sequence of discrete energy functionals.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/450861
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