The stochastic finite element method solver for a simple tension test - Maple Application Center
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The stochastic finite element method solver for a simple tension test

Author
: Prof. Marcin Kaminski
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This Maple script enables to solve numerically the simple tension test of the linear elastic bar by the constant force P applied at its both edges. The solution is provided using the stochastic perturbation-based finite element method derived from the Taylor expansion of all random parameters in the problem. The approach illustrated below is adequate to the 10th order expansion, where the expected values, standard deviations and coefficients of variation of the tensioned edge displacement are derived analytically and can be computed according to the 2nd, 4th, 6th, 8th and 10th order expansions. The plot3d option is utilized to make a visualization of those moments at the particular nodal point of the mesh, whereas the entire methodology can be linked with the other FEM Maple programs as well. Theoretical considerations are provided in: Computers & Structures, Volume 85, Issue 10, May 2007, Generalized perturbation-based stochastic finite element method in elastostatics, by Marcin Kaminski, Elsevier Ltd.

Application Details

Publish Date: October 29, 2007
Created In: Maple 10
Language: English

Tags

modeling

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