Journal ArticleDOI
Symmetrical frictionless indentation over a uniformly expanding contact region—I. Basic analysis
TLDR
In this article, the authors considered the study of two-dimensional wave propagation in a half-space due to indentation by a rigid smooth indentor of a general shape at a non-uniform velocity and assumed that the indentor shape and displacement history can be represented by polynomial curves in a spatial variable and the time.About:
This article is published in International Journal of Engineering Science.The article was published on 1976-01-01. It has received 19 citations till now. The article focuses on the topics: Indentation.read more
Citations
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Journal ArticleDOI
On the super-Rayleigh/subseismic elastodynamic indentation problem
H.G. Georgiadis,James Barber +1 more
TL;DR: The elastodynamic super-Rayleigh/subseismic indentation paradox is examined in this article, where the Craggs/Roberts steady-state problem and the Robinson/Thompson transient problem are reconsidered.
Journal ArticleDOI
Stresses in a surface obstacle undercut due to rapid indentation
TL;DR: In this article, the authors use the semi-infinite crack as a short-time model for the case of indentation by a rigid smooth wedge and show that if fracture occurs at the terminus prior to the arrival of wave reflections, it may proceed at a noticeable angle to the undercut plane.
Journal ArticleDOI
Dynamic analysis of non-symmetric problems for frictionless indentation and plane crack extension
TL;DR: In this article, a two-dimensional dynamic analysis of contact and stress loading problems associated with non-symmetric frictionless rigid indentation and plane crack extension under normal stress is presented.
Journal ArticleDOI
Sliding and indentation by a rigid half-wedge with friction and displacement coupling effects
TL;DR: In this paper, the authors considered a rigid half-wedge which simultaneously translates tangentially and normally at constant speeds with respect to the surface of an elastic half-plane, and showed that the coupling effect may be small for low indentation speeds and relatively flat half-wedges.
Journal ArticleDOI
An integral equation approach to self-similar plane-elastodynamic crack problems
TL;DR: In this article, the authors reduced the problem of an expanding crack under homogeneous polynomial-form loading to the solution of a Cauchy singular integral equation, and obtained the solution by using well-known numerical treatments available for Cauche SIEs.
References
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Journal ArticleDOI
Self-Similar Problems in Elastodynamics
TL;DR: In this article, a formulation of self-similar mixed boundary-value problems of elastodynamics is presented, which is a natural extension of one already developed by the writer for elastostatic problems.
Journal ArticleDOI
Some dynamic problems of the theory of elasticity—a review
G.P. Cherepanov,E.F. Afanas'ev +1 more
TL;DR: In this paper, a complete solution for one class of self-similar problems of dynamic theory of elasticity is given on the basis of functionally-invariant solution of the wave equation, suggested by Smirnov and Sobolev.
Journal ArticleDOI
Transient Stresses in an Elastic Half Space Resulting from the Frictionless Indentation of a Rigid Wedge‐Shaped Die
A. R. Robinson,J. C. Thompson +1 more
TL;DR: In this paper, a solution for the title problem is obtained for the classical theory of elasticity, assuming that the half space is homogeneous and isotropic, and that the die indents at a constant rate.
Journal ArticleDOI
The dynamic indentation of an elastic half-space
R. J. Bedding,John R. Willis +1 more
TL;DR: In this article, a method for finding the distribution of traction beneath a conical or a wedge-shaped indentor, moving into an elastic half-space, was given for the two extreme cases of perfect adhesion between indentor and half space, and perfectly lubricated indentors.
Journal ArticleDOI
Non-symmetric extension of a plane crack due to tensile pre-stress and dilatational waves
TL;DR: In this paper, the authors considered non-symmetric extension of an infinitesimal flaw into a plane crack at a constant rate due to a uniform tensile pre-stress and identical intersecting plane dilatational waves and found that the time lag between wave intersection and fracture and the time rate of change of propagating stresses have a marked effect on the stress intensity factors and rate of energy flux into the crack edges.
Related Papers (5)
Transient Stresses in an Elastic Half Space Resulting from the Frictionless Indentation of a Rigid Wedge‐Shaped Die
A. R. Robinson,J. C. Thompson +1 more