کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6916090 862935 2016 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fokker-Planck linearization for non-Gaussian stochastic elastoplastic finite elements
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Fokker-Planck linearization for non-Gaussian stochastic elastoplastic finite elements
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 307, 1 August 2016, Pages 451-469
نویسندگان
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