We consider a two phase elastic thin film with soft inclusions subject to bending dominated deformations. The soft (void) phase may comprise asymptotically small droplets within the elastic matrix. We perform a dimension reduction analysis and obtain a novel 'Blake-Zisserman-Kirchhoff' functional on a natural space of 'flat and fractured' two-dimensional isometric immersions that combines Kirchhoff's classical plate theory with Blake-Zisserman type surface energy contributions at cracks, folds and the boundary of voids.& COPY; 2023 Elsevier Masson SAS. All rights reserved.

A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions

Santilli, M;
2023-01-01

Abstract

We consider a two phase elastic thin film with soft inclusions subject to bending dominated deformations. The soft (void) phase may comprise asymptotically small droplets within the elastic matrix. We perform a dimension reduction analysis and obtain a novel 'Blake-Zisserman-Kirchhoff' functional on a natural space of 'flat and fractured' two-dimensional isometric immersions that combines Kirchhoff's classical plate theory with Blake-Zisserman type surface energy contributions at cracks, folds and the boundary of voids.& COPY; 2023 Elsevier Masson SAS. All rights reserved.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/222224
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