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Effect of nonhomogeneity on the contact of an isotropic half-space and a rigid base with an axially symmetric recess

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TLDR
In this paper, an axially symmetric frictionless contact problem between a nonhomogeneous elastic halfspace and a rigid base that has a small axisymmetric surface recess was studied.
Abstract
We study an axially symmetric frictionless contact problem between a nonhomogeneous elastic halfspace and a rigid base that has a small axisymmetric surface recess. We reduce the problem to solving Fredholm integral equations, solve these equations numerically, and establish a relationship between the applied pressure and the gap radius. We find and graph the effects of nonhomogeneity on the normal pressure, critical pressure and on the surface displacement.

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ReportDOI

Numerical Solution of Singular Integral Equations.

Frank Stenger
TL;DR: In this paper, the authors have developed methods for solving integral equations which work well in spite of the presence of singularities, in which the new approximation methods which were developed do work well for singularities.

The axisymmetric crack problem in a nonhomogeneous medium

TL;DR: In this article, the axisymmetric crack problem for a nonhomogeneous medium is considered and the main results given are the stress intensity factors as a function of the nonhomogeneity parameter alpha for various loading conditions.
Journal ArticleDOI

Frictionless Contact Between a Rigid Indentor and a Transversely Isotropic Functionally Graded Layer

TL;DR: In this article, the relationship between the applied load P and the contact area is obtained by solving the mathematically formulated problem through using the Hankel transform of different order, and numerical results have been presented to assess the effects of functional grading of the non-homogeneous medium and the application load on the stress distribution in the layer as well as on the relationship of applied load and the area of contact.
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Elastic and mechanical properties of aluminium and silicon carbide using density functional theory and beyond

TL;DR: In this article, the authors apply density functional theory and for the first time with the adiabatic-connection fluctuation-dissipation theorem in the random phase approximation, study the electronic, elastic, and mechanical properties of aluminium and silicon carbide.
References
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Journal ArticleDOI

An improved finite element scheme for elastic contact problems with friction

TL;DR: In this article, the compliance matrix of all the contact node pairs is used rather than the flexibility matrix of each body during iterations, which results in great savings in computer storage and computation time.
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Unbonded Contact of a Square Plate on an Elastic Half-Space or a Winkler Foundation

TL;DR: The unbonded frictionless receding contact problem of a thin plate placed under centrally symmetric vertical loading while resting on an elastic half-space or a Winkler foundation is solved in this article.
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Receding contact problem involving large displacements using the BEM

TL;DR: In this article, a boundary element analysis of the two-dimensional contact problem between elastic solids involving large displacements is presented, which guarantees equilibrium and compatibility at the nodes in the final deformed configuration and allows us to deal with problems undergoing large displacement without changing the initial discretization of the boundary of the bodies.
Journal ArticleDOI

Axisymmetric contact problem for an elastic layer and an elastic foundation

TL;DR: In this article, the axisymmetric problem of an elastic layer lying on a semi-infinite foundation is considered, where the layer is pressed against the foundation by a uniform clamping pressure applied over its entire surface and a uniform vertical body force due to the effect of gravity.
Journal ArticleDOI

Elasto-plastic contact stress analysis of joints subjected to cyclic loading

TL;DR: In this paper, an incremental-iterative algorithm is developed in a modular form combining elasto-plastic material behaviour and contact stress analysis for joints subjected to cyclic loading.
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