Buckling of beams and coatings of finite width in bilateral frictionless contact with an elastic half-space

2021 ◽  
pp. 111104
Author(s):  
Daniele Baraldi ◽  
Nerio Tullini
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
Finite Width ◽  
Frictionless Contact

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.

scholarly journals The ring delamination between bodies under the action of heat sinks distributed along a circle

2017 ◽  
pp. 55-62
Author(s):  
Maryana Mykytyn ◽  
Kristina Serednytska ◽  
Bohdan Monastyrskyy ◽  
Rostyslav Martynyak
Keyword(s):  
Integral Equation ◽  
Singular Integral Equation ◽  
Half Space ◽  
Singular Integral ◽  
Elastic Half Space ◽  
Heat Sinks ◽  
Successive Approximations ◽  
Method Of Successive Approximations ◽  
Normal Contact ◽  
Frictionless Contact

The frictionless contact an elastic half-space and a rigid thermo-insulated base with a local delamination between them on a ring domain under the action of heat sinks distributed uniformly along a circle and located in the half-space some distance away from its surface, is considered. The corresponding contact thermos-elasticity problem is reduced to a singular integral equation for a height of a ring gap. The solution of the singular integral equation and the internal and external radius of the ring are numerically determined using the method of collocation and the method of successive approximations. The dependence of the form of gap and normal contact stresses on the distance between the heat sinks and the surface of the half-space and the intensity of the heat sink are analyzed.

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.

Three-Dimensional Vibrations of a Beam on an Elastic Half-Space: Resonance Interaction of Vertical-Longitudinal and Lateral Beam Waves

1997 ◽  
Vol 64 (4) ◽  
pp. 951-956 ◽  
Author(s):  
A. V. Metrikine ◽  
H. A. Dieterman
Keyword(s):  
Half Space ◽  
Three Dimensional ◽  
Elastic Half Space ◽  
Finite Width ◽  
Lateral Bending ◽  
Beam Asymmetry ◽  
Lateral Vibrations ◽  
Vertical Vibrations ◽  
Euler Bernoulli Beam ◽  
Crossing Point

Three-dimensional vibrations of a Euler-Bernoulli beam on an elastic half-space are investigated. In the model the beam has a finite width and the half-space and beam deflections are equal along the centre line of the beam. It is shown that the vertical and longitudinal beam vibrations are uncoupled from the lateral ones. The dispersion relations for the lateral and vertical-longitudinal waves in the beam are derived and the respective dispersion curves are plotted. These curves can cross each other due to the different equivalent stiffnesses of the half-space in vertical and lateral directions and different vertical and lateral bending stiffnesses of the beam. The existence of a crossing point implies that if the vertical-longitudinal and lateral beam vibrations are coupled for some reason (half-space inhomogeneity, beam asymmetry, etc.), the energy of the vertical vibrations of the beam can be resonantly transferred into the energy of lateral vibrations. This transfer will take place if the frequency of vibrations is close to the frequency determined by the crossing point. The dependency of the frequency of the crossing point on axial compressional stresses in the beam is studied. It is shown that this frequency decreases as the stresses increase.

Steady-state response of an elastic half-space to a moving dislocation of finite width

1983 ◽  
Vol 73 (1) ◽  
pp. 1-22
Author(s):  
J. Enrique Luco ◽  
John G. Anderson
Keyword(s):  
Half Space ◽  
Near Field ◽  
Three Dimensional ◽  
Elastic Half Space ◽  
Numerical Results ◽  
Finite Width ◽  
Slip Vector ◽  
State Response ◽  
Three Dimensional Models ◽  
Fault Length

abstract An analytical method to evaluate the transient response on the surface of an elastic half-space for a kinematic dislocation over an infinitely long fault of finite width and arbitrary dip is presented. The model includes finite rupture velocities in the direction of both the strike and dip of the fault. In this sense, it differs from previous two- and three-dimensional models which typically assume one of these velocities to be infinite. In addition to the effects of the free boundary, the model considers a slip vector in an arbitrary direction. The assumptions of infinite fault length and uniform rupture velocities account for the relative simplicity of the solution which is invariant to an observer moving along the strike of the fault with a speed equal to the rupture velocity. These assumptions limit the applicability of the solution to near-field locations far from the ends of realistic faults. A limited set of numerical results illustrating the types of pulse shapes obtained by use of this model, and, some tests to validate the derivation and the numerical results are presented.

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