scholarly journals 3D dynamic response of a multi-layered transversely isotropic half-space subjected to a moving point load along a horizontal straight line with constant speed

2016 ◽  
Vol 100-101 ◽  
pp. 427-445 ◽  
Author(s):  
Zhenning BA ◽  
Jianwen Liang ◽  
Vincent W. Lee ◽  
Hang Ji
Keyword(s):  
Dynamic Response ◽  
Half Space ◽  
Transversely Isotropic ◽  
Point Load ◽  
Constant Speed ◽  
Horizontal Straight Line ◽  
Straight Line

Dynamic response of a gradient elastic half-space to a load moving on its surface with constant speed

2021 ◽  
Author(s):  
E. V. Muho ◽  
I. P. Pegios ◽  
Y. Zhou ◽  
S. Papargyri-Beskou
Keyword(s):  
Dynamic Response ◽  
Half Space ◽  
Elastic Half Space ◽  
Constant Speed

Exact Analysis of Dynamic Sliding Indentation at any Constant Speed on an Orthotropic or Transversely Isotropic Half-Space

2002 ◽  
Vol 69 (3) ◽  
pp. 340-345 ◽  
Author(s):  
L. M. Brock
Keyword(s):  
Exact Solutions ◽  
Closed Form ◽  
Plane Strain ◽  
Half Space ◽  
Contact Zone ◽  
Transversely Isotropic ◽  
Exact Formula ◽  
Constant Speed ◽  
Displacement Fields ◽  
Rigid Indentor

A plane-strain study of steady sliding by a smooth rigid indentor at any constant speed on a class of orthotropic or transversely isotropic half-spaces is performed. Exact solutions for the full displacement fields are constructed, and applied to the case of the generic parabolic indentor. The closed-form results obtained confirm previous observations that physically acceptable solutions arise for sliding speeds below the Rayleigh speed, for a single critical transonic speed, and for all supersonic speeds. Continuity of contact zone traction is lost for the latter two cases. Calculations for five representative materials indicate that contact zone width achieves minimum values at high, but not critical, subsonic sliding speeds. A key feature of the analysis is the factorization that gives, despite anisotropy, solution expressions that are rather simple in form. In particular, a compact function of the Rayleigh-type emerges that leads to a simple exact formula for the Rayleigh speed itself.

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