State of stress of an isotropic half-plane with an elliptic aperture deformed by concentrated loads

1972 ◽  
Vol 8 (5) ◽  
pp. 506-511
Author(s):  
V. G. Zhitnyaya ◽  
A. S. Kosmodamianskii
Keyword(s):  
Half Plane ◽  
Concentrated Loads ◽  
State Of Stress ◽  
Elliptic Aperture

scholarly journals Half-plane contacts subject to remote tension

2021 ◽  
pp. 030932472098844
Author(s):  
Nils Cwiekala ◽  
David A Hills
Keyword(s):  
Contact Problem ◽  
Half Plane ◽  
Asymptotic Form ◽  
Fretting Fatigue ◽  
The State ◽  
Partial Slip ◽  
Practical Relevance ◽  
Plane Contact ◽  
State Of Stress ◽  
Plane Contact Problem

The state of stress present in an elastic half-plane contact problem, where one or both bodies is subject to remote tension has been investigated, both for conditions of full stick and partial slip. The state of stress present near the contact edges is studied for different loading scenarios in an asymptotic form. This is of practical relevance to the study of contacts experiencing fretting fatigue, and enables the environment in which cracks nucleate to be specified.

The Stress Distributions Induced by Concentrated Loads Acting in Isotropic and Orthotropic Half Planes

1953 ◽  
Vol 20 (1) ◽  
pp. 82-86
Author(s):  
H. D. Conway
Keyword(s):  
Half Plane ◽  
Complex Variable ◽  
Integral Method ◽  
Fourier Integral ◽  
Straight Edge ◽  
Variable Method ◽  
Stress Distributions ◽  
Concentrated Loads ◽  
Concentrated Load ◽  
Method Of Solution

Abstract Using a Fourier integral method, the solution is obtained to an isotropic half plane subjected to a concentrated load acting at some distance from the straight edge. This problem was discussed previously by Melan, using a complex variable method of solution. The Fourier integral method is then extended to solve the corresponding problems of the orthotropic half plane.

The state of stress of an anisotropic half-plane with an elliptic inclusion

1993 ◽  
Vol 65 (6) ◽  
pp. 1995-2002
Author(s):  
L. G. Smirnov ◽  
S. V. Priimak ◽  
I. I. Fedik
Keyword(s):  
Half Plane ◽  
The State ◽  
Elliptic Inclusion ◽  
State Of Stress

The state of stress near the singularities created by a plane punch

1978 ◽  
Vol 13 (4) ◽  
pp. 231-236 ◽  
Author(s):  
N P Andrianopoulos ◽  
P S Theocaris
Keyword(s):  
Stress Distribution ◽  
Half Plane ◽  
Taylor Series ◽  
Stress Function ◽  
Complex Stress ◽  
The State ◽  
Singular Points ◽  
State Of Stress ◽  
Contact Surfaces ◽  
Complex Stress Function

An attempt is made to obtain photoelastically the stress distribution in the near vicinity of singular points, when a punch is indenting an elastic half-plane. The punch is to be assumed flat and rough so that friction is developed between the contact surfaces. By expanding the complex stress function into a Taylor series, an extrapolation law is obtained, which allows the calculation of stresses at the vicinity of the singular points by means of photoelastic measurements at positions remote from these points. The error limits of this technique are defined and, finally, a relation between the order of singularity and the parameters of the photoelastic pattern is established.

The Elastic Half Plane Subjected to Surface Tractions With Random Magnitude or Separation

1960 ◽  
Vol 27 (4) ◽  
pp. 701-709 ◽  
Author(s):  
A. C. Eringen ◽  
J. W. Dunkin
Keyword(s):  
White Noise ◽  
Stress Tensor ◽  
Half Plane ◽  
Second Order ◽  
Concentrated Loads ◽  
Random Boundary ◽  
Concentrated Load ◽  
Random Intervals ◽  
Random Location ◽  
Elastostatic Problem

First and second-order moments of the stress tensor are obtained for the elastostatic problem concerning the half-plane subjected to random boundary tractions. The cases treated include the following types of applied surface tractions: (a) A purely random Gaussian load (white noise); (b) concentrated loads of random magnitudes separated by equal intervals; (c) a concentrated load acting at a random location; and (d) concentrated loads of equal magnitudes separated by random intervals.

Elastic contact on a double-layered substrate

1999 ◽  
Vol 213 (4) ◽  
pp. 331-342 ◽  
Author(s):  
P. A. Kelly ◽  
D. A. Hills ◽  
J. J. O'Connor
Keyword(s):  
Pressure Distribution ◽  
Half Plane ◽  
Biomedical Applications ◽  
Knee Prosthesis ◽  
Elastic Contact ◽  
State Of Stress ◽  
Engineering Problems ◽  
Layered Substrate ◽  
Stress States

Results are given for the contact law and state of stress induced in the contact resulting from application of a pressure distribution on a double-layered half-plane, or its indentation by a body of prescribed shape. The geometry is representative of that found widely in biomedical applications, particularly the knee prosthesis, and also in more general engineering problems. The solution is given in a numerically efficient form, and the stress states at the surface and within the structure that are associated with a number of different combinations of materials are displayed.

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