Interaction functions of a rigid strip bonded to saturated elastic half- space
type: Item
instance of: scholarly article
title: Interaction functions of a rigid strip bonded to saturated elastic half- space
zbMATH Open document ID: 0675.73075
DOI: 10.1016/0020-7683(88)90041-8
author: Mumtaz K. Kassir
author: Jimin Xu
published in: International Journal of Solids and Structures
publication date: 1988-01-01T00:00:00Z
review text: A comprehensive analytical solution is developed to generate the interaction functions of a rigid permeable strip in contact with a saturated porous elastic half-space. Linear hysteretic damping characteristics of the medium are included in the formulation. The mixed boundary-value problem of a welded (and smooth) surface footing is reduced to a set of coupled Fredholm integral equations of the first kind and a numerical solution is provided. Frequency-dependent interaction functions (stiffnesses and radiation damping coefficients) of a medium modelling a saturated dense sand are computed and exhibited graphically to reveal the influence of pore water, permeability effects and hysteretic damping characteristics of the medium. Concerning the influence of types of contact, the interaction functions are practically identical for smooth and welded contacts over the frequency range of interest. The results are useful in determining the response of surface structures to seismic excitation, in particular, where the ground water is at a level to impact such response.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
zbMATH DE Number: 4106418
zbMATH Keywords: rigid permeable strip
zbMATH Keywords: saturated porous elastic half-space
zbMATH Keywords: Linear hysteretic damping characteristics
zbMATH Keywords: welded (and smooth) surface footing
zbMATH Keywords: set of coupled Fredholm integral equations
zbMATH Keywords: first kind
zbMATH Keywords: Frequency- dependent interaction functions
zbMATH Keywords: saturated dense sand
MaRDI profile type: Publication
full work available at URL: 0020-7683(88)90041-8
OpenAlex ID: W1980574391
description: scientific article; zbMATH DE number 4106418