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A finite element method for the probabilistic creep of solids
Author(s) -
Delph T. J.,
Yukich J. E.
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620350603
Subject(s) - creep , finite element method , monte carlo method , constitutive equation , random variable , probability density function , mathematics , mixed finite element method , probabilistic logic , random field , statistical physics , mathematical analysis , physics , structural engineering , engineering , statistics , thermodynamics
Abstract We outline here a finite element technique for the creep of solids whose constitutive equation contains one or more random parameters. In contrast to other finite element techniques for the prediction of random structural response, the present method is based upon exact relations from the theory of probability. It yields, at a given value of time, the probability density function for the field variable of interest, e.g. stress or displacement components. The method is illustrated by a simple creeping beam problem, using a power‐law creep constitutive equation. The calculated distributions are found to be highly skewed, and in excellent agreement with the results of Monte Carlo simulation.