# Science at the triple point between mathematics, mechanics and materials science

## Publication 118

### Homogenization of Integral Energies Under Periodically Oscillating Differential Constraints

##### Authors:

Elisa Davoli
Department of Mathematical Sciences
Carnegie Mellon University Pittsburgh, PA 15213

Irene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213

##### Abstract:
A homogenization result for a family of integral energies is presented, where the fields $u_ε$ are subjected to periodic first order oscillating differential constraints in divergence form. The work is based on the theory of A-quasiconvexity with variable coefficients and on two-scale convergence tecniques.
##### Get the paper in its entirety
15-CNA-005.pdf

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