The indentation of a half-space of hexagonal elastic material by a circular punch of arbitrary end-profile

1978 ◽  
Vol 12 (1) ◽  
pp. 77-82 ◽  
Author(s):  
J. T. Guidera ◽  
R. W. Lardner ◽  
G. E. Tupholme
Keyword(s):  
Half Space ◽  
Elastic Material ◽  
Circular Punch

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.

Surface Settlement of a Deep Elastic Stratum Whose Modulus Increases Linearly with Depth

1972 ◽  
Vol 9 (4) ◽  
pp. 467-476 ◽  
Author(s):  
P. T. Brown ◽  
R. E. Gibson
Keyword(s):  
Half Space ◽  
Elastic Material ◽  
Poisson’S Ratio ◽  
Surface Displacement ◽  
Vertical Surface ◽  
Surface Settlement ◽  
Poisson's Ratio ◽  
Uniform Load ◽  
Circular Area ◽  
Wide Range

An examination has been made of the behavior of a half space of elastic material of constant Poisson's ratio, whose Young's modulus increases linearly with depth, and which is subject to a strip or circle of uniform load. Poisson's ratio was considered in the range zero to one-half, and the surface modulus ranged from zero to the value corresponding to a homogeneous material.Numerical values are presented for vertical surface displacement due to a load uniformly distributed over a circular area for Poisson's ratio = 1/2, 1/3 and 0, and for a wide range of inhomogeneity.

The Interaction Between a System of Circular Punches on an Elastic Half Space

1982 ◽  
Vol 49 (2) ◽  
pp. 341-344 ◽  
Author(s):  
G. M. L. Gladwell ◽  
V. I. Fabrikant
Keyword(s):  
Half Space ◽  
Approximate Solutions ◽  
Elastic Half Space ◽  
Concentrated Load ◽  
Circular Punch

Galin derived an expression for the pressure produced under a rigid circular punch by the application of a concentrated load at another point of the half space. This result is used to derive approximate relationships among the forces, moments, and indentations for a system of punches on an elastic half space. The results are compared with a number of earlier approximate solutions.

Green’s Functions for a Half-Space and Two Half-Spaces Bonded to a Thin Anisotropic Elastic Layer

2008 ◽  
Vol 75 (5) ◽  
Author(s):  
T. C. T. Ting
Keyword(s):  
Thin Layer ◽  
Green’S Function ◽  
Half Space ◽  
Green's Function ◽  
Elastic Material ◽  
The Body ◽  
Reference Length ◽  
Line Force ◽  
Line Dislocation ◽  
Anisotropic Elastic

The Green’s function for an anisotropic elastic half-space that is bonded to a thin elastic material of different anisotropy subject to a line force and a line dislocation is presented. Also presented is the Green’s function for two different anisotropic elastic half-spaces that are bonded to a thin elastic material of different anisotropy subject to a line force and a line dislocation in one of the half-spaces. The thickness h of the thin layer is assumed to be small compared with a reference length. Thus, instead of finding the solution in the thin layer and imposing the continuity conditions at the interface(s), we derive and apply effective boundary conditions for the interface between the layer and the body that take into account the existence of the layer.

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