Propagation of discontinuities of displacement derivatives in nonhomogeneous viscoelastic media
type: Item
instance of: scholarly article
title: Propagation of discontinuities of displacement derivatives in nonhomogeneous viscoelastic media
zbMATH Open document ID: 0565.73030
author: Avtar Singh
author: Kishan Chand Gupta
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1984-01-01T00:00:00Z
review text: The one-dimensional wave equation for a nonhomogeneous viscoelastic medium with variable coefficients is transformed to a first order nonhomogeneous differential equation for the discontinuities of displacement derivatives by the technique of singular surfaces. The solution for the particle displacement, which is valid even after the wavefront has passed is obtained in the form of Taylor series by prescribing the time dependent displacement boundary condition. An application of a particular exponential type of variation of creep function and density are given along with some numerical results.
Mathematics Subject Classification ID: 74Hxx
Mathematics Subject Classification ID: 74J99
Mathematics Subject Classification ID: 74D05
Mathematics Subject Classification ID: 74D10
Mathematics Subject Classification ID: 74E05
zbMATH DE Number: 3902149
zbMATH Keywords: one-dimensional wave equation
zbMATH Keywords: nonhomogeneous viscoelastic medium
zbMATH Keywords: variable coefficients
zbMATH Keywords: first order nonhomogeneous differential equation
zbMATH Keywords: discontinuities of displacement derivatives
zbMATH Keywords: singular surfaces
zbMATH Keywords: particle displacement
zbMATH Keywords: Taylor series
zbMATH Keywords: time dependent displacement boundary condition
zbMATH Keywords: numerical results
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3902149