Characterization of Two-Scale Gradient Young Measures and Application to Homogenization |
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Authors: | Jean-François Babadjian Margarida Baía Pedro M Santos |
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Institution: | (1) SISSA, Via Beirut 2-4, 34014 Trieste, Italy;(2) Instituto Superior Tecnico, Av. Rovisco Pais, 1049-001 Lisbon, Portugal |
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Abstract: | 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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Keywords: | Young measures Homogenization Γ -convergence Two-scale convergence |
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