Stationary thermoelasticity and stochastic homogenization

• Autorzy: Gambin B. , Telega J. J. , Nazarenko L. V.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

thermoelasticity; periodic composite; homogenization; stochastic homogenization theorem

PL

termosprężystość; kompozyt okresowy; homogenizacja

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2002
• Tom: Vol. 54, nr 4
• Strony: 319--345
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Gambin B.

• Institute of Fundamental Technological Research, Polish Academy of Sciences, ul. Świętokrzyska 21, 00-049 Warsaw, Poland

autor

Telega J. J.

• Institute of Fundamental Technological Research, Polish Academy of Sciences, ul. Świętokrzyska 21, 00-049 Warsaw, Poland

autor

Nazarenko L. V.

• Institute of Hydromechanics of NAS of Ukraine, Kiev, Ukraine

Bibliografia

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