Author(s)

M. Kaminski

Abstract

The main idea of the article is to present the recent development in probabilistic computational micromechanics of composite materials. The main directions in these discipline, i.e. homogenization method, reliability analysis as well as fatigue and fracture phenomena are discussed in the context of application of Monte-Carlo simulation technique as well as the stochastic second order perturbation technique. Numerical illustration shows how to calculate probabilistic state functions (displacements, for instance), third order reliability indexes as well as expected values and variances of the effective elastic parameters of the simple composite beam structure under tension. 1 Introduction Composite materials become still more and more popular in numerous applications (automotive, biomechanical, civil and mechanical enginee

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