𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The penny-shaped crack at a bonded plane with localized elastic non-homogeneity

✍ Scribed by A.P.S. Selvadurai

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
136 KB
Volume
19
Category
Article
ISSN
0997-7538

No coin nor oath required. For personal study only.

✦ Synopsis

This paper examines the axisymmetric problem pertaining to a penny-shaped crack which is located at the bonded plane of two similar elastic halfspace regions which exhibit localized axial variations in the linear elastic shear modulus, which has the form G(z) = G 1 + G 2 e Β±ΞΆ z . The equations of elasticity governing this type of non-homogeneity are solved by employing a Hankel transform technique. The resulting mixed boundary value problem associated with the penny-shaped crack is reduced to a Fredholm integral equation of the second kind which is solved in a numerical fashion to generate the crack opening mode stress intensity factor at the tip.

πŸ“œ SIMILAR VOLUMES

A penny-shaped crack at the interface of
A penny-shaped crack at the interface of two bonded dissimilar transversely isotropic elastic half-spaces
✍ H.S. Saxena; R.S. Dhaliwal πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 612 KB

This paper deals with the problem of determining the stress intensity factors when a penny-shaped crack 0 < r d 1, z = 0 is located at the interface of two bonded dissimilar transversely isotropic elastic half-spaces. Analytical solutions for contact stresses, stress intensity factors and difference

Interaction of longitudinal wave with a
Interaction of longitudinal wave with a penny-shaped crack at the interface of two bonded dissimilar elastic solids-II
✍ K. N. Srivastava; R. M. Palaiya; O. P. Gupta πŸ“‚ Article πŸ“… 1979 πŸ› Springer Netherlands 🌐 English βš– 398 KB

The paper deals with the problem of finding the stress distribution near a penny-shaped crack situated at the interface of two bonded dissimilar elastic solids. The crack is opened by the interaction of plane harmonic longitudinal elastic wave, incident normally on the crack. The problem is first re

The Reissner-Sagoci problem for a non-ho
The Reissner-Sagoci problem for a non-homogeneous half-space with a penny-shaped crack
✍ H. T. Danyluk; B. M. Singh; J. Vrbik πŸ“‚ Article πŸ“… 1995 πŸ› Springer 🌐 English βš– 540 KB

The present paper examines the elastostatic problem related to the axisymmetric rotation of a rigid circular disc bonded to a non-homogeneous half-space containing a penny-shaped crack. The shear modulus of the half-space is assumed to vary with depth according to the relation #(z) =/zl(z + c) ' ~ ,

The problem of a penny-shaped crack in a
The problem of a penny-shaped crack in a non-homogeneous medium under shear
✍ J Vrbik; B.M Singh; J Rokne; R.S Dhaliwal πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 81 KB

An integral transform method is used to find the axisymmetric stress distribution in an infinite non-homogeneous elastic solid containing a penny-shaped crack under axial torsion. The non-homogeneity of the medium varies according to the relationship (-ρz), where z is the z-coordinate in the cylindr

On the buckling of the elastic and visco
On the buckling of the elastic and viscoelastic composite circular thick plate with a penny-shaped crack
✍ S.D. Akbarov; O.G. Rzayev πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 159 KB

Buckling problem of the elastic and viscoelastic rotationally symmetric thick circular plate with a penny-shaped crack is investigated. It is supposed that the crack edges have a small initial rotationally symmetric imperfection. The lateral boundary of the plate is clamped and the clamp compresses