Characterization of two-scale gradient Young measures and application to homogenization

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Babadjian, Jean-Francois ; Baia, Margarida ; Santos, Pedro M. (2006)
  • Subject: Mathematics - Analysis of PDEs | 74Q05, 49J45, 28A33, 46E27

This work is devoted to the study of two-scale gradient Young measures naturally arising in nonlinear elasticity homogenization problems. Precisely, a characterization of this class of measures is derived and an integral representation formula for homogenized energies, whose integrands satisfy very weak regularity assumptions, is obtained in terms of two-scale gradient Young measures.
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