Theoretical and Numerical Models for the Prediction of Surface Ground Vibration on an Elastic Layer Over a Rigid Foundation

2009 ◽  
Author(s):  
G. Mesgouez ◽  
O. Laghrouche ◽  
D. Le Houédec ◽  
D.V. Jones
Keyword(s):  
Elastic Layer ◽  
Numerical Models ◽  
Ground Vibration ◽  
Rigid Foundation

Torsion of an Elastic Layer on a Rigid Foundation with an Annular Hole

1986 ◽  
Vol 29 (256) ◽  
pp. 3268-3274 ◽  
Author(s):  
Toshiaki HARA ◽  
Makoto SAKAMOTO ◽  
Toshikazu SHIBUYA ◽  
Takashi KOIZUMI
Keyword(s):  
Elastic Layer ◽  
Rigid Foundation

scholarly journals An axisymmetric torsion problem of an elastic layer on a rigid foundation with a cylindrical hole.

1989 ◽  
Vol 55 (514) ◽  
pp. 1339-1346
Author(s):  
Toshiaki HARA ◽  
Takao AKIYAMA ◽  
Toshikazu SHIBUYA ◽  
Takashi KOIZUMI
Keyword(s):  
Elastic Layer ◽  
Cylindrical Hole ◽  
Rigid Foundation ◽  
Torsion Problem

Stresses and Deformations in Elastic Layers Indented by a Conical Punch

1995 ◽  
Vol 209 (3) ◽  
pp. 201-205 ◽  
Author(s):  
M J Jaffar
Keyword(s):  
Layer Thickness ◽  
Elastic Layer ◽  
Present Method ◽  
Numerical Solutions ◽  
Surface Deformation ◽  
Gibbs Phenomenon ◽  
Contact Radius ◽  
Rigid Foundation ◽  
Triangular Form ◽  
Elastic Layers

The numerical solutions to problems of the contact between an elastic layer in complete adhesion with a rigid foundation (bonded layer) or resting without friction on a rigid foundation (unbonded layer) and a frictionless rigid cone (conical punch) are presented. The present numerical scheme is a modification of that developed by the author for a smooth indenter profile. The modified analysis uses the Fejér method in order to eliminate completely the Gibbs phenomenon at the neighbourhood of the singularity. Calculations are performed to examine the effects of the layer thickness and/or the layer compressibility on the results. It was found that as the layer thickness was decreased then the contact pressure approaches a triangular form for unbonded layer and bonded layer with Poisson's ratio v < 0.5; for an incompressible layered surface (v = 0.5) the pressure gradient tends to zero at the contact ends. Moreover, the contact radius and the surface deformation depend not only on the layer thickness but are also influenced by the layer compressibility. The present method showed excellent agreement with the existing solutions when the layer becomes either a half-space or thin.

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