Contact Pressures as an Elastic Roller Crosses a Scratch

1997 ◽  
Vol 64 (2) ◽  
pp. 425-427 ◽  
Author(s):  
J. A. Greenwood
Keyword(s):  
Exact Solution ◽  
Half Space ◽  
Elastic Analysis ◽  
Contact Pressures

The Westergaard method of plane elastic analysis is used to obtain an exact solution to the problem of an elastic roller crossing a gap, intended to represent a scratch, on a rigid half-space.

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.

An exact solution of start-up flow for the fractional generalized Burgers’ fluid in a porous half-space

2008 ◽  
Vol 69 (7) ◽  
pp. 2086-2094 ◽  
Author(s):  
Changfeng Xue ◽  
Junxiang Nie ◽  
Wenchang Tan
Keyword(s):  
Exact Solution ◽  
Half Space ◽  
Start Up ◽  
Burgers Fluid ◽  
Porous Half Space

scholarly journals CLASSICAL SOLUTION OF THE CAUCHY PROBLEM FOR BIWAVE EQUATION: APPLICATION OF FOURIER TRANSFORM

2012 ◽  
Vol 17 (5) ◽  
pp. 630-641 ◽  
Author(s):  
Victor Korzyuk ◽  
Nguyen Van Vinh ◽  
Nguyen Tuan Minh
Keyword(s):  
Cauchy Problem ◽  
Exact Solution ◽  
Fourier Transform ◽  
Fourier Analysis ◽  
Classical Solution ◽  
Half Space ◽  
Analysis Techniques ◽  
The Cauchy Problem

In this paper, we use some Fourier analysis techniques to find an exact solution to the Cauchy problem for the n-dimensional biwave equation in the upper half-space ℝ n × [0, +∞).

The effect of a velocity-dependent charge-exchange kernel on neutral-atom transport in a half-space plasma: exact solution

1990 ◽  
Vol 44 (2) ◽  
pp. 285-302 ◽  
Author(s):  
A. K. Prinja ◽  
M. M. R. Williams
Keyword(s):  
Exact Solution ◽  
Half Space ◽  
Charge Exchange ◽  
Space Plasma ◽  
Total Charge ◽  
Angle Distribution ◽  
Velocity Dependence ◽  
Charge Exchange Reaction ◽  
Hopf Method ◽  
Exchange Kernel

A symmetric factorization of the velocity-dependent charge-exchange kernel (the so-called separable-kernel model) is used in the Boltzmann equation for neutral atoms to obtain an exact solution for a half-space plasma by the Wiener-Hopf method. This work generalizes earlier work employing constant, velocity-independent charge-exchange interactions to the case of an arbitrary velocity dependence of the Maxwellian averaged charge-exchange reaction rate. The effects of velocity dependence on the speed-angle distribution of escaping neutrals and the total charge-exchange rate in the half-space are shown to be significant. It is also shown how the Wiener-Hopf method can be applied to such problems with a realistic Maxwellian plasma background, without first approximating the ion distribution.

scholarly journals Axisymmetric thermo-electro-elastic analysis of a piezoelectric half space

2011 ◽  
Vol 17 (5) ◽  
pp. 500-515 ◽  
Author(s):  
MH Kargarnovin ◽  
R Hashemi ◽  
M Hashemi ◽  
H Sadeghi
Keyword(s):  
Half Space ◽  
Elastic Analysis

The Stress Field Due to a Line Load Acting on a Half Space of a Power-Law Hardening Material (A Comparison Between Plane Strain and Plane Stress)

1973 ◽  
Vol 40 (1) ◽  
pp. 288-290 ◽  
Author(s):  
C. Atkinson
Keyword(s):  
Exact Solution ◽  
Stress Field ◽  
Plane Strain ◽  
Half Space ◽  
Power Law ◽  
Elastic Material ◽  
Plane Stress ◽  
Strain Fields ◽  
Line Load ◽  
Hardening Material

The exact solution is given for a line load acting on a half space of a power-law elastic material under conditions of plane stress. This solution is compared with the corresponding solution under plane-strain conditions; see Aruliunian [1]. A marked difference is found between the plane-stress and plane-strain fields for different values of the hardening exponent.

scholarly journals A Simple Model for Vertical Dynamic Interactions among a Group of Strip Footings Rested on Homogeneous Half-Space

2018 ◽  
Vol 2018 ◽  
pp. 1-12
Author(s):  
Jue Wang ◽  
Ding Zhou
Keyword(s):  
Simple Model ◽  
Half Space ◽  
Soil Parameters ◽  
Dynamic Interactions ◽  
Distance Ratio ◽  
Homogeneous Half Space ◽  
Principal Value ◽  
The Green Function ◽  
Strip Footings ◽  
Contact Pressures

A simple model for vertical dynamic interactions among a group of strip footings rested on half-space is presented in this paper. An analytical method is presented to obtain the contact pressures and the impedance matrix for a group of surface strip footings. In order to conveniently solve the unknown contact pressures between the soil and footings, the soil-footing interfaces are discretized into a series of strip elements. The Green function for each element under uniform harmonic force is derived and calculated by the piecewise integration and Cauchy principal value integral. The influences of footing and soil parameters on contact pressures and vertical dynamic impedances of footing groups are discussed in detail. The SSSI effect between adjacent footings increases with the decrease of the distance ratio S/L. For three footings in a group, the middle footing experiences greater cross-interactional effect than the side ones. The present method has high accuracy, which is not only simple but also suitable for the high-frequency analysis.

Sign in / Sign up

Export Citation Format

Share Document