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Three-Dimensional Elastic Analysis of Transversely-Isotropic Composites

Published online by Cambridge University Press:  02 October 2017

Yu. V. Tokovyy  and
C. C. Ma
Yu. V. Tokovyy*
Affiliation:
Pidstryhach Institute for Applied Problems of Mechanics and MathematicsNational Academy of Sciences of UkraineLviv, Ukraine
C. C. Ma
Affiliation:
Mechanical Engineering DepartmentNational Taiwan UniversityTaipei, Taiwan
*
*Corresponding author (tokovyy@gmail.com)
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Abstract

An exact analytical solution to the three-dimensional elasticity problem for a transversely-isotropic composite layer is constructed by making use of the direct integration method along with the Fourier double-integral transform. The original problem is reduced to a system of governing partial-differential equations for separate stress-tensor components. The governing equations are accompanied with corresponding local and integral boundary conditions, obtained on the basis of the original local boundary conditions imposing the normal and shearing forces on the limiting planes of the layer. The numerical analysis of the obtained solution is presented for certain transversely-isotropic composite materials.

Keywords

Transversely-isotropic materialComposite materialThree-dimensional problemElasticityExact analytical solution
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 6 , December 2017 , pp. 821 - 830
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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