Full-field analysis of three dimensional piezoelectric layered half-space with point loading

2013 ◽  
Vol 42 ◽  
pp. 158-175
Author(s):  
Ru-Li Lin
Keyword(s):  
Half Space ◽  
Three Dimensional ◽  
Field Analysis ◽  
Full Field ◽  
Layered Half Space

Exact Transient Full-Field Analysis of an Antiplane Subsurface Crack Subjected to Dynamic Impact Loading

1994 ◽  
Vol 61 (3) ◽  
pp. 649-655 ◽  
Author(s):  
Chien-Ching Ma ◽  
Szu-Kuzi Chen
Keyword(s):  
Fundamental Solution ◽  
Half Space ◽  
Observation Point ◽  
Field Analysis ◽  
Full Field ◽  
Transient Solutions ◽  
Diffracted Waves ◽  
The Laplace Transform ◽  
Long Time ◽  
Close Form

The transient problem of a half-space containing a subsurface inclined semi-infinite crack subjected to dynamic antiplane loading on the boundary of the half-space has been investigated to gain insight into the phenomenon of the interaction of stress waves with material defects. The solutions are determined by superposition of the fundamental solution in the Laplace transform domain. The fundamental solution is the exponentially distributed traction on crack faces. The exact close-form transient solutions of stresses and displacement are obtained in this study. These solutions are valid for an infinitely long time and have accounted for the contributions of incident, reflected, and diffracted waves. Numerical results of the transient stresses are obtained and compared with the corresponding static values. The transient solution has been shown to approach the static value after the first few diffracted waves generated from the crack tip have passed the observation point.

A Numerical Solution for Layered Solid Contact Problems With Application to Bearings

1983 ◽  
Vol 105 (4) ◽  
pp. 585-590 ◽  
Author(s):  
Y. P. Chiu ◽  
M. J. Hartnett
Keyword(s):  
Half Space ◽  
Three Dimensional ◽  
Contact Problems ◽  
Steel Rolling ◽  
Rolling Element ◽  
Method Of Solution ◽  
Rectangular Area ◽  
Layered Solid ◽  
Boussinesq Solution ◽  
Layered Half Space

Presented herein is a method of solution for three dimensional counterformal contact problems involving layered solids. Based on the generalized Boussinesq solution for a layered half space, displacement and stress coefficients are formulated for a uniformly distributed load applied over a rectangular area on the surface of a layered half space. A precise analytical solution has been developed to find the surface pressure, contact area, approach and subsurface stresses for contact of arbitrary surface shapes. Numerical results have been obtained for the indentation of a second order surface with a layered solid for the case the layer to substrate shear modulus ratio equal to 3, which simulates the contact of a steel rolling element with a steel bearing ring supported by aluminum substrate (or housing) in a transmission system.

Three dimensional dynamic response of surface foundation on layered half-space

2001 ◽  
Vol 23 (11) ◽  
pp. 1427-1436 ◽  
Author(s):  
Moon Kyum Kim ◽  
Yun Mook Lim ◽  
Woo Yeon Cho
Keyword(s):  
Dynamic Response ◽  
Half Space ◽  
Three Dimensional ◽  
Surface Foundation ◽  
Layered Half Space

Scattering of elastic spherical P, SV, and SH waves by three-dimensional hill in a layered half-space

2021 ◽  
Vol 147 ◽  
pp. 106545
Author(s):  
Zhenning Ba ◽  
Jisai Fu ◽  
Yue Liu ◽  
Vincent W. Lee ◽  
Ying Wang
Keyword(s):  
Half Space ◽  
Three Dimensional ◽  
Sh Waves ◽  
Layered Half Space
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