Free Warping Analysis and Numerical Implementation

Karel Mikeš; Milan Jirásek

doi:10.4028/www.scientific.net/AMM.825.141

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Simulation of Self-Reconfigurable Material Systems
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Algorithmic Framework for Stochastic Galerkin Method
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Mesoscale Modeling of Nonlinear Influence of Ambient Relative Humidity on Drying Shrinkage of Concrete
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Stochastic Model Calibration Based on Measurements from Different Experiments
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Free Warping Analysis and Numerical Implementation
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Tuning of Shape Parameters for Radial Basis Functions in Nonlinear Meta-Modeling
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Study on Multi-Objective Reconstruction of Random Media
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Analysis of Stability of Mode II Crack Growth
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Influence of the Bell-Jar Magma Chamber Geometry on a Caldera Formation
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 825Free Warping Analysis and Numerical Implementation

Free Warping Analysis and Numerical Implementation

Abstract:

This article deals with the mathematical description and numerical implementation of the free warping problem. The solution of the warping problem is given by a warping function obtained by solving the Laplace equation with a corresponding boundary condition. An analytical solution is available only for a limited number of specific cross-sectional shapes such as ellipse or rectangle. For the solution of a general cross section, the Laplace equation must be solved numerically by the finite element method. From a mathematical point of view, the free warping problem can be described in the same way as the heat transfer phenomena, but in the numerical implementation, there are several features specific to warping analysis.The solution algorithm has been implemented in the OOFEM open-source finite element code [1] and verification has been done on several examples with known analytical solutions.

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Periodical:

Applied Mechanics and Materials (Volume 825)

Pages:

141-148

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.825.141

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Cite this paper

Online since:

February 2016

Authors:

Karel Mikeš*, Milan Jirásek

Keywords:

Finite Element Method, Free Warping, Torsional Stiffness, Warping Function

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References

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