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• W42083789 abstract "The main idea is to present the application of the homogenization method in the Stochastic Finite Element Method (SFEM) of some 1D linear elastic engineering structures. The method is based on the second order perturbation second central probabilistic moment analysis and, on other hand, asymptotic calculation of the probabilistic moments of the effective Young modulus. This approach is used together with the classical SFEM computer program and illustrated on the examples of the two-component beam and bar structures. The results of numerical analysis confirm generally the usefulness of the proposed method to homogenization-based analysis of the bar structures with randomly defined material parameters. Starting from this formulation, the deterministic as well as stochastic sensitivity analysis of the homogenized composite structures may be performed and, further, homogenization approach for stochastic analysis of elastodynamic problems with or without structural and interface defects may be proposed." @default.
• W42083789 created "2016-06-24" @default.
• W42083789 creator A5011646983 @default.
• W42083789 date "2001-09-19" @default.
• W42083789 modified "2023-10-18" @default.
• W42083789 title "Homogenization method in Stochastic Finite Element analysis of some 1D composite structures" @default.
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