Homogenization of fiber-reinforced composites with random properties using the weighted least squares response function approach

• Autorzy: Kamiński M.
• Języki publikacji: EN

Abstrakty

EN

The main aim of the paper is a determination of the basic probabilistic characteristics for the effective elasticity tensor of the periodic fiber-reinforced composites, using the generalized stochastic perturbation technique. An evaluation of the generalized stochastic perturbation method of the analytical formulas and the Monte-Carlo simulation technique is provided for the 1D periodic structure with random material parameters. The higher-order terms are determined using numerical determination of the response functions between the effective tensor components and the given random input variables. It is carried out with the use of the Least Squares Method (LSM), applied for the series of computational experiments consisting of the Finite Element Method (FEM) solutions to the cell problems for the randomized input parameters. The key problem is the weighting LSM procedure worked out to speed up the probabilistic convergence of the homogenization results.

Słowa kluczowe

EN

homogenization method; random composites; stochastic perturbation method; response function approach; weighted least squares technique

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2011
• Tom: Vol. 63, nr 5-6
• Strony: 479--505
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Kamiński M.

• Department of Structural Mechanics Faculty of Civil Engineering, Architecture and Environmental Engineering Technical University of Łódź Al. Politechniki 6, 90-924 Łódź, Poland,

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