The paper deals with homogenization processes for some energies of integral type arising in the modelling of rubber-like elasomers. A previous paper of the same authors took in account the general case of the homogenization of energies in presence of pointwise oscillating constraints on the admissible deformation. In the present paper, homogenization processes are treated in the particular case of fixed constraints set, in wich minimal coerciveness hypothesis can be assumed. This permits to establish homogenization results in the general settings of BV spaces, where strongly discontinuities are allowed. The homogenization result is established for Dirichlet (with affine boundary data), Neumann and mixed poroblems, by proving that the limit energy is again of integral type, gradient constrained, and with an explicitly computed homogeneous density.

Homogenization of Unbounded Functionals and Nonlinear Elastomers. The Case of the Fixed Constraints Set

CARBONE, LUCIANO;DE ARCANGELIS, RICCARDO;A. GAUDIELLO
2004

Abstract

The paper deals with homogenization processes for some energies of integral type arising in the modelling of rubber-like elasomers. A previous paper of the same authors took in account the general case of the homogenization of energies in presence of pointwise oscillating constraints on the admissible deformation. In the present paper, homogenization processes are treated in the particular case of fixed constraints set, in wich minimal coerciveness hypothesis can be assumed. This permits to establish homogenization results in the general settings of BV spaces, where strongly discontinuities are allowed. The homogenization result is established for Dirichlet (with affine boundary data), Neumann and mixed poroblems, by proving that the limit energy is again of integral type, gradient constrained, and with an explicitly computed homogeneous density.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/203093
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