Title of article :
Uncertainty propagation in finite deformations––A spectral stochastic Lagrangian approach Original Research Article
Author/Authors :
Swagato Acharjee، نويسنده , , Nicholas Zabaras، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Pages :
24
From page :
2289
To page :
2312
Abstract :
This work proposes a method for quantifying uncertainty propagation in finite deformation problems using the spectral stochastic finite element method (SSFEM). A spectral expansion of the current configuration of a deforming body is proposed to compute the stochastic deformation gradient which is in turn used to compute the stochastic analogs of the various quantities which appear in large deformation analysis such as strain and stress measures and consistent moduli. A total Lagrangian approach to the stochastic large deformation problem is presented. Model problems in large deformation elasto-plasticity are considered highlighting the features of the methodology developed. Rigorous comparisons with Monte-Carlo solutions are presented. It is shown that the proposed approach can estimate the probability density function and response statistics of the field variables with satisfactory accuracy.
Keywords :
Spectral stochastic finite element method (SSFEM) , Finite deformations , Karhunen–Loève (KL) expansion , Uncertainty propagation
Journal title :
Computer Methods in Applied Mechanics and Engineering
Serial Year :
2005
Journal title :
Computer Methods in Applied Mechanics and Engineering
Record number :
893498
Link To Document :
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