Recent developments in numerical homogenization

• Autorzy: Boso D. P. , Lefik M. , Schrefler B. A.
• Języki publikacji: EN

Abstrakty

EN

This paper deals with homogenization of non linear fibre-reinforced composites in the coupled thermo-mechanical field. For this kind of structures, i.e. inclusions randomly dispersed in a matrix, the self consistent methods are particularly suitable to describe the problem. Usually, in the framework of the self consistent scheme the homogenized material behaviour is obtained with a symbolic approach. For the non linear case, that method may become tedious. This paper presents a different, fully numerical procedure. The effective properties are determined by minimizing a functional expressing the difference (in some chosen norm) between the solution of the heterogeneous problem and the equivalent homogenous one. The heterogeneous problem is solved with the Finite Element method, while the second one has its analytical solution. The two solutions are written as a function of the (unknown) effective parameters, so that the final global solution is found by iterating between the two single solutions. Further, it is shown that the considered homogenization scheme can be seen as an inverse problem and Artificial Neural Networks are used to solve it.

Słowa kluczowe

EN

Self-Consistent-Like method; non-linear homogenization; artificial neural network; inverse; thermo-mechanical analysis; multiscale modelling

PL

metoda samouzgodniona; nieliniowa homogenizacja; sztuczna sieć neuronowa; odwrotność; analiza termomechaniczna; modelowanie wieloskalowe

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2009
• Tom: Vol. 16, No. 3/4
• Strony: 161--183
• Opis fizyczny: Bibliogr. 52 poz., il., tab., wykr.,

Twórcy

autor

Boso D. P.

autor

Lefik M.

autor

Schrefler B. A.

• Department of Structural and Transportation Engineering, University of Padua, Via Marzolo 9, 35131 Padua

Bibliografia

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