On the load transfer from a rigid cylindrical inclusion into an elastic half space

1985 ◽  
Vol 21 (12) ◽  
pp. 1213-1229 ◽  
Author(s):  
A.P.S. Selvadurai ◽  
R.K.N.D. Rajapakse
Keyword(s):  
Half Space ◽  
Load Transfer ◽  
Elastic Half Space ◽  
Cylindrical Inclusion

On the image of a cylindrical inclusion in the scanning acoustic microscope

1991 ◽  
Vol 435 (1894) ◽  
pp. 393-403 ◽  
Keyword(s):  
Half Space ◽  
Multipole Expansion ◽  
Elastic Half Space ◽  
Cylindrical Lens ◽  
Cylindrical Inclusion ◽  
Subsurface Imaging ◽  
Acoustic Microscope ◽  
Rayleigh Approximation ◽  
Lubricated Contact ◽  
Scanning Acoustic Microscope

An analysis is made of the image produced in the scanning acoustic microscope with a cylindrical lens by a cylindrical inclusion in an elastic half-space. The theory is developed in the Rayleigh approximation in which the characteristic wavelengths in the solid are large relative to the diameter of the cylinder, and when scattered waves can be expressed by the leading terms in a multipole expansion concentrated on the axis of the cylinder. A formula is derived for the acoustic contrast when the inclusion is rigid (but movable) and in fully lubricated contact with the solid. The results are illustrated by consideration of an inclusion in aluminium with water as the coupling fluid. The contrast decreases rapidly when the depth of the inclusion within the solid exceeds the Rayleigh wavelength, in accordance with current views concerning the importance of these waves in subsurface imaging.

The Elastic Field in a Half-Space With a Circular Cylindrical Inclusion

1996 ◽  
Vol 63 (4) ◽  
pp. 925-932 ◽  
Author(s):  
L. Z. Wu ◽  
S. Y. Du
Keyword(s):  
Half Space ◽  
Elastic Field ◽  
Elastic Half Space ◽  
Elliptic Integrals ◽  
Cylindrical Inclusion ◽  
Stress Fields ◽  
Function Technique ◽  
Explicit Solutions ◽  
Elastic Fields ◽  
Complete Elliptic Integrals

The problem of a circular cylindrical inclusion with uniform eigenstrain in an elastic half-space is studied by using the Green’s function technique. Explicit solutions are obtained for the displacement and stress fields. It is shown that the present elastic fields can be expressed as functions of the complete elliptic integrals of the first, second, and third kind. Finally, numerical results are shown for the displacement and stress fields.

A Reconsideration of Elastostatic Load Transfer Problems Involving a Half Space

1984 ◽  
Vol 8 (4) ◽  
pp. 219-226 ◽  
Author(s):  
P. Karasudhi ◽  
R.K.N.D. Rajapakse ◽  
K.K. Liyanage
Keyword(s):  
Half Space ◽  
Load Transfer ◽  
Transfer Problem ◽  
Stress Singularity ◽  
Elastic Half Space ◽  
Main Concern ◽  
Elastic Bar ◽  
Interacting Systems ◽  
Real Phenomenon ◽  
Transfer Problems

This paper is a reconsideration of elastostatic load transfer problem of a long cylindrical elastic bar partially embedded in an elastic half space. Each problem is considered as consisting of two interacting systems, an extended half space and a one-dimensional fictitious bar. A compatibility condition is imposed near the interface of the interacting systems. In order to incorporate the real phenomenon of stress singularities at the ends of the bar, without carrying our a complicated derivation of the stress singularity factor, the basic unknown force at both ends of the fictitious bar is set to zero. However, the effects of the stress singularity are found to be not significant, especially for long bars and when the main concern is only on the force-displacement relationship at the top end of the bar.

Load Transfer From a Finite Cylindrical Fiber Into an Elastic Half-Space

1994 ◽  
Vol 61 (4) ◽  
pp. 971-975 ◽  
Author(s):  
Ven-Gen Lee ◽  
Toshio Mura
Keyword(s):  
Integral Equations ◽  
Half Space ◽  
Load Transfer ◽  
Transfer Problem ◽  
Numerical Procedure ◽  
Elastic Half Space ◽  
Equivalent Condition ◽  
Algebraic Equations ◽  
Equivalent Inclusion Method ◽  
Cylindrical Fiber

Based on the equivalent inclusion method, the load transfer problem of a finite cylindrical fiber embedded in an elastic half-space of different elastic properties is presented. The equivalent condition of inhomogeneity and inclusion problems simulates the fiber to an inclusion with chosen eigenstrains, and the problem is formulated to a set of integral equations with the unknown strength of eigenstrains. A numerical procedure is developed using a discretizing scheme by which the set of integral equations is reduced to a system of algebraic equations.

Dynamics of a Mode III Crack Impacted by Elastic Wave in Half Space with a Removable Rigid Cylindrical Inclusion

2006 ◽  
Vol 324-325 ◽  
pp. 679-682 ◽  
Author(s):  
Zai Lin Yang ◽  
Dian Kui Liu ◽  
Xiao Lang Lv
Keyword(s):  
Green’S Function ◽  
Half Space ◽  
Green's Function ◽  
Complex Function ◽  
Elastic Half Space ◽  
Cylindrical Inclusion ◽  
Sh Wave ◽  
Mode Iii ◽  
Scattering Wave ◽  
Moving Coordinate

Scattering of SH wave by a crack is studied in elastic half space with a removable rigid cylindrical inclusion by Green’s function, complex function and moving coordinate method. In half space, firstly the scattering wave function of removable rigid cylindrical inclusion is constructed; next a suitable Green’s function is solved for present problem, then using crack-division to make a crack. Thus the solution of problem can be obtained. Numerical examples are provided and discussed.

Load Transfer Problem for an Embedded Shaft in Torsion

1970 ◽  
Vol 37 (4) ◽  
pp. 959-964 ◽  
Author(s):  
L. M. Keer ◽  
N. J. Freeman
Keyword(s):  
Integral Equation ◽  
Half Space ◽  
Load Transfer ◽  
Transfer Problem ◽  
Integral Transforms ◽  
Elastic Half Space ◽  
Infinite Cylinder ◽  
Axially Symmetric ◽  
Homogeneous Cylinder

This paper deals with the axially symmetric torsion of a semi-infinite cylinder embedded into an elastic half space, where the cylinder is allowed to protrude by a finite amount. The problem is formulated to include the case of the protruding portion of the cylinder when it is a different material and partially bonded to the embedded portion. With the use of integral transforms and Dini series, the problem is reduced to the determination of the solution of an integral equation. Stress singularities of a fractional order are noted and computed at the juncture, when all members are perfectly bonded. A numerical solution of the integral equation is obtained for the case of a homogeneous cylinder. The bond stress on the cylinder—half space interface and the torque-twist (and consequently, strain energy) for the entire system are computed for different values of the elastic constants.

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