期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 307, 期 -, 页码 451-469出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2016.05.001
关键词
Fokker-Planck equation; Elastoplasticity; Stochastic finite elements; Linearization; Polynomial chaos; Non-Gaussian
资金
- National Science Foundation [1200702]
- Department of Civil and Environmental Engineering of the University of California, Davis
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [1200702] Funding Source: National Science Foundation
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [1417849] Funding Source: National Science Foundation
Presented here is a finite element framework for the solution of stochastic elastoplastic boundary value problems with non-Gaussian parametric uncertainty. The framework relies upon a stochastic Galerkin formulation, where the stiffness random field is decomposed using a multidimensional polynomial chaos expansion. At the constitutive level, a Fokker-Planck-Kolmogorov (FPK) plasticity framework is utilized, under the assumption of small strain kinematics. A linearization procedure is developed that serves to update the polynomial chaos coefficients of the expanded random stiffness in the elastoplastic regime, leading to a nonlinear least-squares optimization problem. The proposed framework is illustrated in a static shear beam example of elastic-perfectly plastic as well as isotropic hardening material. (C) 2016 Elsevier B.V. All rights reserved.
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