Non-Linear Stochastic Finite-Element Analysis of Continua

by F. Casciati, Univ of Pavia, Italy,
L. Faravelli, Univ of Pavia, Italy,



Document Type: Proceeding Paper

Part of: Structural Safety and Reliability

Abstract:

Stochastic equivalent linearization, coupled with appropriate endochronic idealizations of the constitutive law, is extended in this paper to analyse the dynamic response of non linear continua. Linearization is introduced before the discretization of the continuum. The constitutive law is assigned at the Gauss points according to the classic plasticity theory. Its linearization simplifies the evaluation of the inelastic deformations statistics. The original aspects of the paper are the multivariate endochronic constitutive law adopted and the implementation of the procedure in a general purpose finite-element code. A simple numerical example illustrates the approach.

Subject Headings: Finite element method | Stochastic processes | Stress analysis | Nonlinear analysis | Dynamic analysis | Numerical methods | Nonlinear finite element analysis

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