TY - JOUR
T1 - PROBABILISTIC FINITE ELEMENTS FOR TRANSIENT ANALYSIS IN NONLINEAR CONTINUA.
AU - Liu, W. K.
AU - Belytschko, T.
AU - Mani, A.
PY - 1985
Y1 - 1985
N2 - 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.
AB - 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.
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M3 - Conference article
AN - SCOPUS:0022269646
SN - 0733-4230
SP - 9
EP - 24
JO - American Society of Mechanical Engineers, Aerospace Division (Publication) AD
JF - American Society of Mechanical Engineers, Aerospace Division (Publication) AD
ER -