Asymptotic solutions of contact problems of elasticity theory for media inhomogeneous in depth

DOI10.1016/0021-8928(82)90091-0zbMath0509.73121OpenAlexW2063724833MaRDI QIDQ1838880

S. M. Ajzikovich

Publication date: 1982

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(82)90091-0

zbMATH Keywords

asymptotic solutionsdual integral equationscorrectnesssolvabilityapproximate methodinhomogeneous materialsAleksandrov's method

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Inhomogeneity in solid mechanics (74E05) Theories of friction (tribology) (74A55)

Related Items (11)

Analytical solution of axisymmetric contact problem about indentation of a circular indenter into a soft functionally graded elastic layer ⋮ Recovery of information on the depth-dependent profile of elastic FGMs from indentation experiments ⋮ Torsion of a punch attached to transversely-isotropic half-space with functionally graded coating ⋮ Asymptotic solution of the problem of the interaction of a plate with a foundation inhomogeneous in depth ⋮ Axisymmetric contact problems of the theory of elasticity for inhomogeneous layers ⋮ Unnamed Item ⋮ An equilibrium penny-shaped crack in an inhomogeneous elastic medium ⋮ A bilateral asymptotic method of solving the integral equation of the contact problem of the torsion of an elastic half-space inhomogeneous in depth ⋮ Unnamed Item ⋮ Evaluation of the elastic properties of a functionally-graded coating from the indentation measurements ⋮ The solution of a certain class of dual integral equations with the right-hand side in the form of a Fourier series and its application to the solution of contact problems for inhomogeneous media

Cites Work

• Asymptotic solution of the problem of the interaction of a plate with a foundation inhomogeneous in depth
• Integral equations of convolution of the first kind on a system of segments occurring in the theory of elasticity and mathematical physics
• Extremal properties of entire functions of exponential type
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