PROBABILISTIC FINITE ELEMENTS FOR TRANSIENT ANALYSIS IN NONLINEAR CONTINUA.

W. K. Liu*, T. Belytschko, A. Mani

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

12 Scopus citations

Abstract

The probabilistic finite element method (PFEM), which is a combination of finite element methods and second-moment analysis, is formulated for linear and nonlinear continua with inhomogeneous random fields. Analogous to the discretization of the displacement field in finite element methods, the random field is also discretized. The formulation is simplified by transforming the correlated variables to a set of uncorrelated variables through an eigenvalue orthogonalization. Furthermore, it is shown that a reduced set of the uncorrelated variables is sufficient for the second-moment analysis. Based on the linear formulation of the PFEM, the method is then extended to transient analysis in nonlinear continua.

Original languageEnglish (US)
Pages (from-to)9-24
Number of pages16
JournalAmerican Society of Mechanical Engineers, Aerospace Division (Publication) AD
StatePublished - 1985

ASJC Scopus subject areas

  • Mechanical Engineering
  • Space and Planetary Science

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