PROBABILISTIC FINITE ELEMENTS AND ITS APPLICATIONS.

Wing K Liu*, T. Belytschko, A. Mani, G. H. Besterfield

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Improved computational procedures are presented for the Probabilistic Finite Element Method (PFEM) for the transient analysis of random field problems of linear and nonlinear continua. The theoretical development of PFEM is reviewed with the inclusion of a transformed uncorrelated random variable. A highly efficient Lanczos algorithm is presented to reduce the PFEM equations to a smaller system of tridiagonal equations. A method based on Fourier analysis is presented for removing secularities from PFEM. The effectiveness of the method presented herein is demonstrated with application to linear elastic and nonlinear elastic/plastic continuum problems. All of the results presented exhibit the excellent performance of PFEM.

Original languageEnglish (US)
Title of host publicationUnknown Host Publication Title
EditorsN.C. Lind
PublisherInst for Risk Research
ISBN (Print)0969287011
StatePublished - Dec 1 1987

ASJC Scopus subject areas

  • Engineering(all)

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