Note on the Orthotropic Half Plane Subjected to Concentrated Loads

1955 ◽  
Vol 22 (1) ◽  
pp. 130
Author(s):  
H. D. Conway
Keyword(s):  
Half Plane ◽  
Concentrated Loads

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 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.

Approximate Solution Of A Singular Integral Equation With A Multiplicative Cauchy Kernel In The Half-Plane

2008 ◽  
Vol 8 (2) ◽  
pp. 143-154 ◽  
Author(s):  
P. KARCZMAREK
Keyword(s):  
Integral Equation ◽  
Approximate Solution ◽  
Singular Integral Equation ◽  
Half Plane ◽  
Singular Integral ◽  
Trigonometric Polynomials ◽  
Cauchy Kernel

AbstractIn this paper, Jacobi and trigonometric polynomials are used to con-struct the approximate solution of a singular integral equation with multiplicative Cauchy kernel in the half-plane.

Rayleigh Wave in a Rotating Magneto-Thermo-Elastic Half-Plane

2012 ◽  
Vol 42 (4) ◽  
Author(s):  
Baljeet Singh ◽  
Sangeeta Kumari ◽  
Jagdish Singh
Keyword(s):  
Rayleigh Wave ◽  
Half Plane
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