PROBABILISTIC FINITE ELEMENTS AND ITS APPLICATIONS.

W. K. Liu; T. Belytschko; A. Mani; G. H. Besterfield

PROBABILISTIC FINITE ELEMENTS AND ITS APPLICATIONS.

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

^*Corresponding author for this work

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Unknown Host Publication Title
Editors	N.C. Lind
Publisher	Inst for Risk Research
Pages	v 1p
ISBN (Print)	0969287011
State	Published - 1987

ASJC Scopus subject areas

General Engineering

Cite this

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title = "PROBABILISTIC FINITE ELEMENTS AND ITS APPLICATIONS.",

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.",

author = "Liu, {W. K.} and T. Belytschko and A. Mani and Besterfield, {G. H.}",

year = "1987",

language = "English (US)",

isbn = "0969287011",

publisher = "Inst for Risk Research",

pages = "v 1p",

editor = "N.C. Lind",

booktitle = "Unknown Host Publication Title",

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T1 - PROBABILISTIC FINITE ELEMENTS AND ITS APPLICATIONS.

AU - Liu, W. K.

AU - Belytschko, T.

AU - Mani, A.

AU - Besterfield, G. H.

PY - 1987

Y1 - 1987

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0023570229&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023570229&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0023570229

SN - 0969287011

SP - v 1p

BT - Unknown Host Publication Title

A2 - Lind, N.C.

PB - Inst for Risk Research

ER -

PROBABILISTIC FINITE ELEMENTS AND ITS APPLICATIONS.

Abstract

ASJC Scopus subject areas

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