Pressure of a rigid stamp with a flat base heated to a constant temperature on an elastic half-space

1992 ◽  
Vol 28 (7) ◽  
pp. 443-449
Author(s):  
V. P. Levitskii ◽  
V. M. Onyshkevich
Keyword(s):  
Half Space ◽  
Constant Temperature ◽  
Elastic Half Space ◽  
Rigid Stamp ◽  
Flat Base

scholarly journals Method for solving plane unsteady contact problems for rigid stamp and elastic half-space with a cavity of arbitrary geometry and location

2020 ◽  
Vol 12 (S) ◽  
pp. 99-113
Author(s):  
Yulong LI ◽  
Aron M. ARUTIUNIAN ◽  
Elena L. KUZNETSOVA ◽  
Grigory V. FEDOTENKOV
Keyword(s):  
Integral Equations ◽  
Half Space ◽  
Boundary Integral Equations ◽  
Elastic Half Space ◽  
Boundary Integral ◽  
Elastic Plane ◽  
Time Interval ◽  
Arbitrary Geometry ◽  
Rigid Stamp ◽  
Straight Line

In the work, the process of unsteady contact interaction of rigid stamp and elastic half-space having a recessed cavity of arbitrary geometry and location with a smooth boundary was investigated. Three variants of contact conditions are considered: free slip, rigid coupling, and bonded contact. The method for solving the problem is constructed using boundary integral equations. To obtain boundary integral equations, the dynamic reciprocal work theorem is used. The kernels of integral operators are bulk Green functions for the elastic plane. Because of straight-line approximations of the domain boundaries with respect to the spatial variable and straight-line approximations of the boundary values of the desired functions with respect to time, the problem is reduced to solving a system of algebraic equations with respect to the pivotal values of the desired displacements and stresses at each time interval. One of the axes is directed along the regular boundary of half-space, the second - deep into half-space.

Plane unsteady contact problem for a rigid stamp and an elastic half-space with a cavity

Trudy MAI ◽  
2020 ◽  
pp. 2-2
Author(s):  
Aron Arutyunyan ◽  
Elena Kuznetsova ◽  
Grigory Fedotenkov
Keyword(s):  
Contact Problem ◽  
Half Space ◽  
Elastic Half Space ◽  
Rigid Stamp

The efficiency of application of virtual cross-sections method and hypotheses MELS in problems of wave signal propagation in elastic waveguides with rough surfaces

2016 ◽  
pp. 3564-3575 ◽  
Author(s):  
Ara Sergey Avetisyan
Keyword(s):  
Half Space ◽  
Cross Sections ◽  
Classical Method ◽  
Signal Propagation ◽  
Elastic Half Space ◽  
Layered Systems ◽  
Surface Layers ◽  
Inhomogeneous Surface ◽  
Wave Signal ◽  
The Impact

The efficiency of virtual cross sections method and MELS (Magneto Elastic Layered Systems) hypotheses application is shown on model problem about distribution of wave field in thin surface layers of waveguide when plane wave signal is propagating in it. The impact of surface non-smoothness on characteristics of propagation of high-frequency horizontally polarized wave signal in isotropic elastic half-space is studied. It is shown that the non-smoothness leads to strong distortion of the wave signal over the waveguide thickness and along wave signal propagation direction as well.  Numerical comparative analysis of change in amplitude and phase characteristics of obtained wave fields against roughness of weakly inhomogeneous surface of homogeneous elastic half-space surface is done by classical method and by proposed approach for different kind of non-smoothness.

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