A nonlinear stochastic finite element method for solving elastoplastic problems with uncertainties
نویسندگان
چکیده
This article presents an efficient nonlinear stochastic finite element method to solve elastoplastic problems. Similar deterministic problems, we describe history-dependent behavior utilizing a series of (pseudo) time steps and go further the corresponding solutions. For each step, original problem is considered as time-independent with initial values given by displacements, strains, internal variables previous step. To solution at transformed into set linearized equations means discretization Newton linearization, while step approximated sum products random vectors. Each couple variable vector also used approximate equation that can be solved via weakly intrusive method. In this method, computed solving linear equations, are non-intrusive Further, proposed avoids curse dimensionality successfully since its computational effort does not increase dramatically increases. Four numerical cases demonstrate good performance
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ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Engineering
سال: 2023
ISSN: ['0029-5981', '1097-0207']
DOI: https://doi.org/10.1002/nme.7253