Certain estimates of normal forces on the boundary of a half-space under given dynamic displacements

1972 ◽  
Vol 8 (5) ◽  
pp. 512-516
Author(s):  
T. A. Koval' ◽  
K. I. Ogurtsov
Keyword(s):  
Half Space ◽  
Normal Forces

scholarly journals Contact Mechanics of Rough Spheres: Crossover from Fractal to Hertzian Behavior

2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Roman Pohrt ◽  
Valentin L. Popov
Keyword(s):  
Boundary Element ◽  
Contact Mechanics ◽  
Half Space ◽  
Analytical Model ◽  
Contact Stiffness ◽  
Elastic Half Space ◽  
Normal Contact ◽  
Normal Forces ◽  
Normal Contact Stiffness ◽  
Rough Sphere

We investigate the normal contact stiffness in a contact of a rough sphere with an elastic half-space using 3D boundary element calculations. For small normal forces, it is found that the stiffness behaves according to the law of Pohrt/Popov for nominally flat self-affine surfaces, while for higher normal forces, there is a transition to Hertzian behavior. A new analytical model is derived describing the contact behavior at any force.

scholarly journals Self-equilibrated stresses in the system composed of a covering layer + spatially locally curved reinforcing layer + half-space

2019 ◽  
Vol 23 (Suppl. 6) ◽  
pp. 2179-2183
Author(s):  
Ramazan Tekercioglu
Keyword(s):  
Fourier Transform ◽  
Half Space ◽  
The Self ◽  
Normal Stresses ◽  
Normal Forces ◽  
Covering Layer ◽  
First Approximation ◽  
Double Fourier Transform ◽  
Curved Substrate ◽  
Reinforcing Layer

The system composed of a face covering layer + spatially locally curved substrate reinforcing layer + half-space is taken into consideration. It is presumed that this framework is compressed at infinity by uniformly distributed normal forces and it is required to establish the self-equilibrated normal stresses in that, caused by locally curved of the substrate reinforcing layer. The matching boundary and contact value problem is defined within the scope of 3-D geometrically non-linear exact equations. Formulated problem?s solution is introduced with the series form of small parameter which represents the degree of the aforesaid locally curving. These series? zeroth and first approximation are ascertained with the utilization of double Fourier transform. The original of values that are searching is ascertained numerically. Corresponding numerical outcomes about the self-equilibrated normal stress caused by this spatially local curving are presented and discussed.

On a technique for deriving explicit transfer matrices of orthotropic layers

2015 ◽  
Vol 37 (4) ◽  
pp. 303-315 ◽  
Author(s):  
Pham Chi Vinh ◽  
Nguyen Thi Khanh Linh ◽  
Vu Thi Ngoc Anh
Keyword(s):  
Wave Propagation ◽  
Explicit Form ◽  
Half Space ◽  
Transfer Matrix ◽  
Rayleigh Waves ◽  
Secular Equation ◽  
Transfer Matrices ◽  
Orthotropic Layer ◽  
Wave Propagation Problem ◽  
Arbitrary Thickness

This paper presents  a technique by which the transfer matrix in explicit form of an orthotropic layer can be easily obtained. This transfer matrix is applicable for both the wave propagation problem and the reflection/transmission problem. The obtained transfer matrix is then employed to derive the explicit secular equation of Rayleigh waves propagating in an orthotropic half-space coated by an orthotropic layer of arbitrary thickness.

SH-Wave Scattering From the Interface Defect

2017 ◽  
Vol 5 (1) ◽  
pp. 45-50
Author(s):  
Myron Voytko ◽  
◽  
Yaroslav Kulynych ◽  
Dozyslav Kuryliak
Keyword(s):  
Half Space ◽  
Wave Diffraction ◽  
Scattered Field ◽  
Wave Scattering ◽  
Elastic Layer ◽  
Analytical Form ◽  
Structure Parameters ◽  
Sh Wave ◽  
Interface Defect ◽  
Hopf Method

The problem of the elastic SH-wave diffraction from the semi-infinite interface defect in the rigid junction of the elastic layer and the half-space is solved. The defect is modeled by the impedance surface. The solution is obtained by the Wiener- Hopf method. The dependences of the scattered field on the structure parameters are presented in analytical form. Verifica¬tion of the obtained solution is presented.

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