Approximate methods of investigating the torsion of an inhomogeneous elastic layer

1979 ◽  
Vol 15 (8) ◽  
pp. 705-709
Author(s):  
Yu. A. Naumov ◽  
V. I. Chistyak
Keyword(s):  
Elastic Layer ◽  
Approximate Methods ◽  
Inhomogeneous Elastic Layer

Stress State of an Inhomogeneous Elastic Layer Made of Heterogeneous Materials with a Coin-Like Rigid Inclusion under Torsion

2019 ◽  
Vol 828 ◽  
pp. 18-23
Author(s):  
Zaven Davtyan ◽  
Anush Gasparyan ◽  
Avetik Melkonyan
Keyword(s):  
Elastic Layer ◽  
Strain State ◽  
Practical Importance ◽  
Compound Layer ◽  
Elastic Solids ◽  
Stress Strain ◽  
Stress Strain State ◽  
Tangential Forces ◽  
Inhomogeneous Elastic Layer

Problems on cracks and inclusions closely relate to problems of determination of the stress-strain state of homogeneous and inhomogeneous elastic solids that contain stress concentrators. Due to their theoretical and practical importance to the issues of construction structures, machines and their parts in machinery, in the calculation of hydro-technical structures as well as in various other spheres of applied mechanics, these problems have become a subject of investigation for many authors. This paper studies the problem of determination of the stress-strain state of a piecewise homogeneous elastic layer under torsion. The upper and lower surfaces of the compound layer are loaded with tangential forces and the interface of the heterogeneous layers contains a thin absolutely rigid coin-like inclusion. It is required to determine stress jumps on the boundary of the inclusion as well as intensity coefficients of the stresses (ICS).

Torsion in an inhomogeneous elastic layer

1968 ◽  
Vol 4 (8) ◽  
pp. 121-123 ◽  
Author(s):  
V. S. Protsenko
Keyword(s):  
Elastic Layer ◽  
Inhomogeneous Elastic Layer

Oscillations of an inhomogeneous elastic layer

2006 ◽  
Vol 47 (3) ◽  
pp. 439-445
Author(s):  
A. O. Vatul’yan ◽  
M. A. Dvoskin ◽  
P. S. Satunovskii
Keyword(s):  
Elastic Layer ◽  
Inhomogeneous Elastic Layer

Torsional Surface Waves in an Inhomogeneous Layer over a Fluid Saturated Porous Half-Space

2015 ◽  
Vol 32 (1) ◽  
pp. 113-121 ◽  
Author(s):  
S. Gupta ◽  
A. Pramanik
Keyword(s):  
Surface Waves ◽  
Half Space ◽  
Elastic Layer ◽  
Love Wave ◽  
Inhomogeneous Layer ◽  
Homogeneous Half Space ◽  
Inhomogeneous Elastic Layer ◽  
Porous Half Space ◽  
Torsional Surface Wave ◽  
Torsional Surface Waves

ABSTRACTIn the present paper the propagation of torsional surface waves is discussed in an inhomogeneous elastic layer lying over a fluid saturated porous half space. The inhomogeneity in rigidity and density in the inhomogeneous layer plays an important role in the propagation of torsional surface waves. The presence of fluid in the pores diminishes the velocity. Further, it is seen that if the layer becomes homogeneous and the porous half space is replaced by a homogeneous half space, the velocity of the torsional surface waves coincides with that of Love wave. The effect of inhomogeneity factors and porosity factor on the phase velocity of torsional surface wave is delimitated by means of graphs.

scholarly journals An approximate secular equation of Rayleigh waves in an elastic half-space coated by a thin weakly inhomogeneous elastic layer

2015 ◽  
Vol 37 (1) ◽  
pp. 71-80
Author(s):  
Pham Chi Vinh ◽  
Vu Thi Ngoc Anh
Keyword(s):  
Half Space ◽  
Rayleigh Waves ◽  
Elastic Layer ◽  
Secular Equation ◽  
Elastic Half Space ◽  
Effective Boundary ◽  
Inhomogeneous Elastic Layer ◽  
Boundary Condition Method ◽  
Effective Boundary Condition ◽  
Thickness Variable

In this paper, the propagation of Rayleigh waves in a homogeneous isotropic elastic half-space coated with a thin weakly inhomogeneous isotropic elastic layer is investigated. The material parameters of the layer is assumed to  depend arbitrarily continuously on  the thickness variable. The contact between the layer and the half space is  perfectly bonded. The main purpose of the paper is to establish an approximate secular equation of the wave. By applying the effective boundary condition method an approximate secular equation of second order in terms of the dimensionless thickness of the layer is derived. It is shown that the obtained approximate secular equation has good accuracy.

Two-Dimensional Thermal Stresses and Displacements in an Arbitrarily Inhomogeneous Elastic Layer

2014 ◽  
Vol 627 ◽  
pp. 141-144 ◽  
Author(s):  
Yuriy Tokovyy ◽  
Yuriy Lozynskyy ◽  
Chien Ching Ma
Keyword(s):  
Temperature Field ◽  
Material Properties ◽  
Elastic Layer ◽  
Analytical Approach ◽  
Original Problem ◽  
Thermal Stresses ◽  
Elastic Equilibrium ◽  
Two Dimensional ◽  
Inhomogeneous Elastic Layer ◽  
The Given

This paper presents an analytical approach for solution of the plane-strain problem on elastic equilibrium of a layer whose material properties are arbitrary functions of the transversal coordinate. The layer is stressed by distributed temperature field under given displacement of its limiting surfaces. By making use of the explicit solution of the relevant problem in terms of stresses, the boundary tractions are determined by the given boundary displacements and temperature field on the basis of established one-to-one relations. In such manner, the original problem is reduced to the problem with boundary conditions in terms of stresses.

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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