Generalized stochastic cell-based smoothed finite element method (GS_CS-FEM) for solid mechanics

  • Authors:

  • G. R. Liu;W. Zeng;H. Nguyen-Xuan

  • Affiliations:

  • School of Aerospace Systems, University of Cincinnati, 2851 Woodside Dr, Cincinnati, OH 45221, USA;School of Aerospace Systems, University of Cincinnati, 2851 Woodside Dr, Cincinnati, OH 45221, USA;Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City 700000, Viet Nam and Department of Mechanics, Faculty of Mathematics & Computer Science, University of Science, VNU- ...

  • Venue:
  • Finite Elements in Analysis and Design
  • Year:
  • 2013

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Abstract

The smoothed finite element method (S-FEM) was recently proposed to inject softening effects into and improve the accuracy of the standard FEM. In the S-FEM, the system stiffness matrix is obtained using strain smoothing technique over the smoothing domains associated with cells, nodes, edges or faces to establish models of desired properties. Stochastic FEM is regarded as an extension of the classical deterministic FEM to deal with the randomness of properties of input parameters in solid mechanics problems. In this paper, the cell-based S-FEM (or CS-FEM) is extended for stochastic analysis based on the generalized stochastic perturbation technique. Numerical examples are presented and obtained results are compared with the solution of Monte Carlo simulation. It is found that the present GS_CS-FEM method can improve the solution accuracy significantly for stochastic problems, in terms of the estimated means, variances and other probabilistic characteristics.