The Calculation of Stress-Strain State of Anisotropic Composite Finite-Element Area with Different Boundary Conditions on the Surface

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.

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B. Anton, "The Calculation of Stress-Strain State of Anisotropic Composite Finite-Element Area with Different Boundary Conditions on the Surface," World Journal of Mechanics, Vol. 4 No. 1, 2014, pp. 31-36. doi: 10.4236/wjm.2014.41004.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] A. Y. Grigorenko, A. S Bergulyov and S. N. Yaremchenko, “The Solution of the Spatial Boundary Value Problems about Rectangular Plates Bending,” Proceedings of the National Academy of Sciences of Ukraine, No. 10, 2010, pp. 44-51.
[2] A. Y. Grigorenko, A. S Bergulyov and S. N. Yaremchenko, “Third-Dimensional Boundary Value Problem Solution for the Bend of Rectangular Disks,” Reports of the National academy of sciences of Ukraine, No. 10, pp. 44-51.

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