Journal ArticleDOI
Asymptotic solutions of contact problems of elasticity theory for media inhomogeneous in depth
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In this paper, the dual integral equations generated by contact problems for half-spaces and half-planes inhomogeneous with depth were considered, and an approximate method for their solution was proposed.About:
This article is published in Journal of Applied Mathematics and Mechanics.The article was published on 1982-01-01. It has received 17 citations till now. The article focuses on the topics: Method of matched asymptotic expansions & Asymptotic analysis.read more
Citations
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Journal ArticleDOI
A bilateral asymptotic method of solving the integral equation of the contact problem of the torsion of an elastic half-space inhomogeneous in depth☆
S.M. Aizikovich,A.S. Vasiliev +1 more
TL;DR: An approximate semi-analytical method for solving integral equations generated by mixed problems of the theory of elasticity for inhomogeneous media is developed in this article, where an effective algorithm for constructing approximations of transforms of the kernels of integral equations by analytical expressions of a special type is proposed, and closed analytical solutions are presented.
Journal ArticleDOI
Analytical solution of axisymmetric contact problem about indentation of a circular indenter into a soft functionally graded elastic layer
TL;DR: In this paper, the penetration of a circular indenter with a flat base into a soft functionally graded elastic layer is considered, where the elastic properties of a functionally graded layer arbitrarily vary with depth and the foundation is assumed to be elastic, yet much harder than a layer.
Journal ArticleDOI
Evaluation of the elastic properties of a functionally-graded coating from the indentation measurements
TL;DR: In this paper, a mathematical model connecting penetration profile of a rigid circular indenter with elastic properties of a functionally graded coating (FGC) was developed to determine the properties variation across the coating.
Journal ArticleDOI
Axisymmetric contact problems of the theory of elasticity for inhomogeneous layers
TL;DR: In this article, an approach for constructing semi-analytical solutions in contact problems of the theory of elasticity for inhomogeneous layers is developed, which is efficient for the layer of arbitrary thickness which is either continuously inhomogenous (functionally graded) or piecewise homogeneous (i.e. presented as a set of homogeneous layers with different elastic properties).
Journal ArticleDOI
Torsion of a punch attached to transversely-isotropic half-space with functionally graded coating
TL;DR: In this paper, an analytical solution for the problem of torsion of a circular punch attached to a transversely-isotropic elastic half-space with functionally-graded coating is presented.
References
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Book
A treatise on the theory of Bessel functions
TL;DR: The tabulation of Bessel functions can be found in this paper, where the authors present a comprehensive survey of the Bessel coefficients before and after 1826, as well as their extensions.
Related Papers (5)
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A bilateral asymptotic method of solving the integral equation of the contact problem of the torsion of an elastic half-space inhomogeneous in depth☆
S.M. Aizikovich,A.S. Vasiliev +1 more