On the simultaneous homogenization and dimension reduction in elasticity and locality of Gamma- closure (CROSBI ID 237815)
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Podaci o odgovornosti
Bukal, Mario ; Velčić, Igor
engleski
On the simultaneous homogenization and dimension reduction in elasticity and locality of Gamma- closure
On the example of linearized elasticity we provide a framework for simultaneous homogenization and dimension reduction in the setting of linearized elasticity as well as non- linear elasticity for the derivation of homogenized von Karman plate and bending rod models. The framework encompasses even perforated domains and domains with oscillatory boundary, provided that the corresponding extension operator can be constructed. Locality property of Γ-closure is established, i.e. every energy density obtained by the homogenization process can be in almost every point obtained as the limit of periodic energy densities.
elasticity ; homogenization ; dimension reduction ; Gamma-closure
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Podaci o izdanju
56
2017.
59-1-59-41
objavljeno
0944-2669
10.1007/s00526-017-1167-z