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Stationary thermoelasticity and stochastic homogenization

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

Archives of Mechanics

2002

Vol. 54, nr 4

319-345

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.