Impact response of a transversely isotropic cylinder with a penny-shaped crack
type: Item
instance of: scholarly article
title: Impact response of a transversely isotropic cylinder with a penny-shaped crack
zbMATH Open document ID: 0601.73024
DOI: 10.1016/0020-7683(87)90038-2
published in: International Journal of Solids and Structures
publication date: 1987-01-01T00:00:00Z
review text: The axisymmetric dynamic response of a penny-shaped crack in a transversely isotropic infinite cylinder under normal impact is analyzed. Laplace and Hankel transforms are used to reduce the transient problem to a pair of dual integral equations in the Laplace transform plane. The solution is given in terms of a Fredholm integral equation of the second kind. A numerical Laplace inversion routine is used to recover the time dependence of the solution. The dynamic stress intensity factor is determined and numerical results for some practical materials are shown graphically to demonstrate the influence of transverse isotropy.
Mathematics Subject Classification ID: 74M20
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74G70
zbMATH DE Number: 3970180
zbMATH Keywords: axisymmetric dynamic response
zbMATH Keywords: penny-shaped crack
zbMATH Keywords: transversely isotropic infinite cylinder
zbMATH Keywords: normal impact
zbMATH Keywords: Laplace and Hankel transforms
zbMATH Keywords: transient problem
zbMATH Keywords: pair of dual integral equations
zbMATH Keywords: Laplace transform plane
zbMATH Keywords: Fredholm integral equation of the second kind
zbMATH Keywords: numerical Laplace inversion routine
zbMATH Keywords: time dependence of the solution
zbMATH Keywords: dynamic stress intensity factor
author: Yasuhide Shindo
author: Hideaki Nozaki
MaRDI profile type: Publication
full work available at URL: 0020-7683(87)90038-2
OpenAlex ID: W2035868350
description: scientific article; zbMATH DE number 3970180