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Analytical Solutions for Axisymmetric Normal Loadings Acting on a Particulate Composite Modeled as a Mixture of Two Linear Elastic Solids

Published online by Cambridge University Press:  15 May 2017

E. Kurt  and
M. S. Dokuz
E. Kurt
Affiliation:
Faculty of Mechanical Engineeringİstanbul Technical Universityİstanbul, Turkey
M. S. Dokuz*
Affiliation:
Faculty of Mechanical Engineeringİstanbul Technical Universityİstanbul, Turkey
*
*Corresponding author ([email protected])
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Abstract

Constitutive equations, based on continuum mechanics and representing behavior of a mixture of two elastic solids, can be used for modeling of materials such as particulate composites. In this study, the behavior of continuum of a mixture occupying half-space under axisymmetric loads is calculated using Fourier and Hankel transform methods. For this purpose, Love's strain functions are used and the general solution of problem under proper boundary conditions is presented. By applying the results obtained to the sinusoidal distributed vertical load and Boussinesq problems that require the use of Cartesian and cylindrical coordinate systems, displacement vectors, diffusive force vector and components of stress tensors are calculated. At the end of the study, the experimental results of a special particulate composite are used to check the accuracy of the solutions obtained.

Keywords

Elastic mixturesGalerkin vectorLove's strain functionIntegral transform
Type
Research Article
Information
Journal of Mechanics , Volume 34 , Issue 5 , October 2018 , pp. 567 - 578
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2018 

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