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The Calculation of Stress-Strain State of Anisotropic Composite Finite-Element Area with Different Boundary Conditions on the Surface
Druzbi Narodov Prospectus 27/44, Kyiv, Ukraine
- 1 Druzbi Narodov Prospectus 27/44, Kyiv, Ukraine
World Journal of Mechanics·Volume 04 (2014)·Pages 31–36·Published 20 January 2014·DOI10.4236/wjm.2014.41004
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Abstract
The numerical analytic research approach of stress-strain state of anisotropic composite finite element area with different boundary conditions on the surface, is represented below. The problem is solved by using a spatial model of the elasticity theory. Differential equation system in partial derivatives reduces to one-dimensional problem using spline collocation method in two coordinate directions. Boundary problem for the system of ordinary higher-order differential equation is solved by using the stable numerical technique of discrete orthogonalization.
KeywordsComposite Finite-Element AreasBoundary ConditionsElasticity TheorySpline ApproximationCollocation Methods
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