scholarly journals Exact Solution for Transient Responses of an Elastic Half Space to an Antiplane Shear Distributed with Finite Width Applied with Finite Duration

1978 ◽  
Vol 44 (384) ◽  
pp. 2604-2610
Author(s):  
Tadashi OHYOSHI ◽  
Satoru WANIBUCHI
Keyword(s):  
Exact Solution ◽  
Half Space ◽  
Elastic Half Space ◽  
Antiplane Shear ◽  
Finite Width ◽  
Transient Responses ◽  
Finite Duration

scholarly journals Transient Excitation of an Elastic Half Space by a Point Load Traveling on the Surface

1969 ◽  
Vol 36 (3) ◽  
pp. 505-515 ◽  
Author(s):  
D. C. Gakenheimer ◽  
J. Miklowitz
Keyword(s):  
Exact Solution ◽  
Free Surface ◽  
Steady State ◽  
Wave Front ◽  
Half Space ◽  
Displacement Field ◽  
Elastic Half Space ◽  
Point Load ◽  
Limit Case ◽  
Transient Waves

The propagation of transient waves in a homogeneous, isotropic, linearly elastic half space excited by a traveling normal point load is investigated. The load is suddenly applied and then it moves rectilinearly at a constant speed along the free surface. The displacements are derived for the interior of the half space and for all load speeds. Wave-front expansions are obtained from the exact solution, in addition to results pertaining to the steady-state displacement field. The limit case of zero load speed is considered, yielding new results for Lamb’s point load problem.

The Effect of an Axial Force on the Response of an Anisotropic Elastic Half Space to a Rolling Cylinder

1973 ◽  
Vol 40 (1) ◽  
pp. 251-256 ◽  
Author(s):  
D. L. Clements
Keyword(s):  
Half Space ◽  
Axial Force ◽  
Elastic Half Space ◽  
Applied Force ◽  
Finite Width ◽  
Infinite Length ◽  
Anisotropic Elastic

The problem of an inflated cylindrical tire of infinite length and constant finite width steadily rolling over the surface of an anisotropic elastic half space is examined. The influence of an applied force, acting along the axis of the cylinder, on the width of the region of slip at each end of the tire is determined. In particular, it is shown numerically that when a material exhibits certain anisotropy the presence of an axial force can considerably reduce the width of the zones of slip.

Steady Motion of a Plate on an Elastic Half Space

1973 ◽  
Vol 40 (2) ◽  
pp. 478-484 ◽  
Author(s):  
M. A. Oien
Keyword(s):  
Half Space ◽  
Steady Motion ◽  
Approximate Solutions ◽  
Elastic Half Space ◽  
General Nature ◽  
Finite Width ◽  
Infinite Length ◽  
Harmonic Waves ◽  
Vibrational Modes ◽  
Incident Plane

The response of a smooth Bernoulli-Euler plate of finite width and infinite length in contact with an elastic half space to incident plane harmonic waves propagating normally to the infinite axis of the plate is considered. Upon expanding the motion of the plate in a series of vibrational modes, approximate solutions for the response of the plate and the elastic half space are obtained separately using the Bubnov-Galerkin method. Numerical results are presented illustrating the general nature of the response of the plate and showing that individual vibrational modes of the plate are not excited to resonance.

scholarly journals Static Deformation due to a Long Tensile Fault of Finite Width in an Isotropic Half-Space Welded with an Orthotropic Half-Space

2014 ◽  
Vol 9 ◽  
pp. 11-26
Author(s):  
Yogita Godara ◽  
Ravinder Kumar Sahrawat ◽  
Mahabir Singh
Keyword(s):  
Closed Form ◽  
Half Space ◽  
Stress Function ◽  
Vertical Displacement ◽  
Elastic Half Space ◽  
Finite Width ◽  
Airy Stress Function ◽  
Two Phase ◽  
Phase Medium ◽  
Analytical Expressions

Closed-form analytical expressions for displacements and stresses at any point of a two-phase medium consisting of a homogeneous, isotropic, perfectly elastic half-space in welded contact with a homogeneous, orthotropic, perfectly elastic half-space caused by a tensile fault of finite width located at an arbitrary distance from the interface in the isotropic half-space are obtained. The Airy stress function approach is used to obtain the expressions for the stresses and displacements. The vertical tensile fault is considered graphically. The variations of the displacements with the distance from the fault and with depth for various cases have been studied graphically. Also horizontal and vertical displacement of the surface are presented graphically.

Transient Response of an Elastic Half Space Subjected to a Reciprocating Antiplane Shear Load

1976 ◽  
Vol 43 (4) ◽  
pp. 625-629 ◽  
Author(s):  
K. Watanabe
Keyword(s):  
Analytical Solution ◽  
Wave Front ◽  
Half Space ◽  
Wave Speed ◽  
Elastic Half Space ◽  
Trigonometric Function ◽  
Antiplane Shear ◽  
Maximum Speed ◽  
Shear Load ◽  
Sh Wave

In this paper we consider a problem of the response of an elastic half space subjected to an antiplane shear load. The load is suddenly applied and thereafter moves in an interval reciprocally as a trigonometric function of time. An analytical solution for the displacement is obtained in terms of single integration. It is shown that the discontinuity in the displacement occurs only for the case that the initial (maximum) speed of the load is greater than the speed of SH-wave. In this case the displacement has a finite jump on the leading wave front and a logarithmic discontinuity immediately behind the wave front which emanates from a point where the load speed comes up with SH-wave speed. Numerical calculations are carried out for several cases of the initial (maximum) speed of the load and are shown graphically.

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