Asymptotic solution of the problem of the interaction of a plate with a foundation inhomogeneous in depth
type: Item
instance of: scholarly article
title: Asymptotic solution of the problem of the interaction of a plate with a foundation inhomogeneous in depth
zbMATH Open document ID: 0888.73053
DOI: 10.1016/0021-8928(95)00077-1
author: J. Ning
published in: Journal of Applied Mathematics and Mechanics
publication date: 1997-11-04T00:00:00Z
review text: The equations of the contact problem of a circular plate interacting with a half-space inhomogeneous in depth are considered. The Lamé coefficients vary with depth in the half-space according to a general law -- that of a gradient (continuously inhomogeneous) or laminated half-space. Use is made of the series expansions of the contact pressures under the plate and of its deflections, the terms of the series being the eigenfunctions of the equation of the bending of the plate with boundary conditions representing support conditions for the plate. To solve the dual integral equation, the two-sided asymptotic method is used. An analysis is made of how different laws of variation of the Lamé coefficients with depth in the half-space may affect the distribution of contact pressures under the plate, its deflection and the settlement of the surface of the half-space outside the contact zone.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 1077434
zbMATH Keywords: circular plate
zbMATH Keywords: Lamé coefficients
zbMATH Keywords: half-space
zbMATH Keywords: series expansions
zbMATH Keywords: eigenfunctions
zbMATH Keywords: dual integral equation
zbMATH Keywords: two-sided asymptotic method
MaRDI profile type: Publication
full work available at URL: 0021-8928(95)00077-1
OpenAlex ID: W2030276702
cites work: An asymptotic solution of a class of coupled equations
cites work: Q3806046
cites work: Q5332414
cites work: Asymptotic solutions of contact problems of elasticity theory for media inhomogeneous in depth
cites work: On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
description: scientific article; zbMATH DE number 1077434