On The Bergman Operator Method and Anti-Plane Contact Problems Involving an Inhomogeneous Half-Space

1978 ◽  
Vol 34 (4) ◽  
pp. 764-773 ◽  
Author(s):  
D. L. Clements ◽  
C. Rogers
Keyword(s):  
Half Space ◽  
Operator Method ◽  
Contact Problems ◽  
Plane Contact ◽  
Bergman Operator

Plane contact problems with frictional heating for a vertically layered half-space

2011 ◽  
Vol 54 (9-10) ◽  
pp. 1805-1813 ◽  
Author(s):  
Roman Kulchytsky-Zhyhailo ◽  
Stanisław J. Matysiak ◽  
Dariusz M. Perkowski
Keyword(s):  
Half Space ◽  
Frictional Heating ◽  
Contact Problems ◽  
Plane Contact ◽  
Layered Half Space

scholarly journals The first boundary value problem of the dynamics of an anisotropic elastic half-space under the action of subsonic transport loads

2020 ◽  
Vol 4 (78) ◽  
pp. 45-52
Author(s):  
G. K. ZAKIR’YANOVA ◽  
◽  
L. A. ALEXEYEVA ◽  
Keyword(s):  
Rock Mass ◽  
Boundary Value Problem ◽  
Half Space ◽  
Wide Class ◽  
Boundary Value ◽  
Operator Method ◽  
Elastic Half Space ◽  
Theory Of Elasticity ◽  
Wide Range ◽  
Anisotropic Elastic

The first boundary value problem of the theory of elasticity for an anisotropic elastic half-space is solved when a transport load moves along its surface. The subsonic Raleigh case is considered, when the velocity of motion is less than the velocity of propagation of bulk and surface elastic waves. The Green’s tensor of the transport boundary value problem is constructed and on its basis the solution of boundary value problems for a wide class of distributed traffic loads is given. To solve the problem, the methods of tensor and linear algebra, integral Fourier transform, and operator method for solving systems of differential equations were used. The obtained solution makes it possible to investigate the dynamics of the rock mass for a wide class of transport loads, in a wide range of velocities, both low velocities and high velocities, and to evaluate the strength properties of the rock mass under the influence of road transport. In particular, determine the permissible velocities of its movement and carrying capacity. In addition, a investigation on its basis of the movement of the day surface along the route will make it possible to establish criteria for the seismic resistance of ground structures and the permissible distances of their location from the route.

Plane Contact Problems

2010 ◽  
pp. 271-279
Author(s):  
Robert Asaro ◽  
Vlado Lubarda
Keyword(s):  
Contact Problems ◽  
Plane Contact
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