Vol 54, No 4 (2002)

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Stationary thermoelasticity and stochastic homogenization

B. Gambin, J.J. Telega, L.V. Nazarenko

Arch. Mech. 54 (4), 319-345, 2002

Keywords:


Abstract


The aim of the paper is twofold: first, the stochastic homogenization theorem formulated by Dal Maso and Modica [9, 10] is extended to the case applicable to a class of nonlinear problems of mechanics. Second, this new theorem is applied to determine the effective thermoelastic response of the material body with stochastically periodic microstructure. As a result, one obtains the closed form of effective (homogenized) stored energy function. As a specific case, one-dimensional problem is solved analytically.

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