Indentation of a hot die into an elastic layer of finite thickness in the case of axial symmetry

1968 ◽  
Vol 4 (3) ◽  
pp. 37-39 ◽  
Author(s):  
V. I. Petrishin ◽  
Yu. A. Shevlyakov
Keyword(s):  
Axial Symmetry ◽  
Elastic Layer ◽  
Finite Thickness

scholarly journals Rotation and Magnetic Field Effect on Surface Waves Propagation in an Elastic Layer Lying over a Generalized Thermoelastic Diffusive Half-Space with Imperfect Boundary

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
S. M. Abo-Dahab ◽  
Kh. Lotfy ◽  
A. Gohaly
Keyword(s):  
Magnetic Field ◽  
Surface Waves ◽  
Half Space ◽  
Attenuation Coefficient ◽  
Elastic Layer ◽  
Finite Thickness ◽  
Relaxation Times ◽  
Magnetic Field Effect ◽  
Plane Boundary ◽  
Special Cases

The aim of the present investigation is to study the effects of magnetic field, relaxation times, and rotation on the propagation of surface waves with imperfect boundary. The propagation between an isotropic elastic layer of finite thickness and a homogenous isotropic thermodiffusive elastic half-space with rotation in the context of Green-Lindsay (GL) model is studied. The secular equation for surface waves in compact form is derived after developing the mathematical model. The phase velocity and attenuation coefficient are obtained for stiffness, and then deduced for normal stiffness, tangential stiffness and welded contact. The amplitudes of displacements, temperature, and concentration are computed analytically at the free plane boundary. Some special cases are illustrated and compared with previous results obtained by other authors. The effects of rotation, magnetic field, and relaxation times on the speed, attenuation coefficient, and the amplitudes of displacements, temperature, and concentration are displayed graphically.

Thermal and Mechanical Model for Rigid Cylinder Indenting an Elastic Layer Resting on Rigid Base: Application to Turned Surfaces

2003 ◽  
Vol 125 (2) ◽  
pp. 186-191
Author(s):  
Zhe Zhang ◽  
E. E. Marotta ◽  
J. M. Ochterbeck
Keyword(s):  
Mechanical Properties ◽  
Mechanical Model ◽  
Elastic Layer ◽  
Mixed Boundary ◽  
Linear Equations ◽  
Finite Thickness ◽  
Half Width ◽  
Rigid Base ◽  
Wide Range ◽  
Analytical Thermal Model

Models are presented for the solution of the thermal and mechanical problem of a rigid metallic cylinder indenting an elastic layer with finite thickness which rests on a rigid substrate without friction. The models were extended to turned surfaces applications. With introduction of an equivalent isothermal flux distribution for the mixed boundary problem—constant temperature over the contact area while adiabatic elsewhere along the top surface—an approximate analytical thermal model was developed. The solution was compared to a numerical solution under certain cases. Both solutions in turn compare very well with the generalized three-dimensional expression proposed by prior investigators. The mechanical model predicts the contact half-width under varying mechanical properties, layer dimensions, and applied load. The mechanical contact problem was solved numerically by substituting the displacement variable with a truncated polynomial to get a system of linear equations from which the dimensionless contact half-width was derived. The model is valid throughout a wide range of parameters, including mechanical properties and geometric dimensions. To explicitly predict the dimensionless contact half-width as a function of dimensionless load, a curve was fitted to the numerically obtained solution.

The impact of a rigid sphere with an elastic layer of finite thickness

1995 ◽  
Vol 112 (1-4) ◽  
pp. 83-93 ◽  
Author(s):  
Yu. A. Rossikhin ◽  
M. V. Shitikova
Keyword(s):  
Elastic Layer ◽  
Finite Thickness ◽  
Rigid Sphere ◽  
The Impact

scholarly journals Study on the settlement of raft foundations by different methods

2018 ◽  
Vol 251 ◽  
pp. 04054
Author(s):  
Vinh Le Ba ◽  
Nhan Nguyen Van ◽  
Khanh Le Ba
Keyword(s):  
Elastic Layer ◽  
Applied Load ◽  
Finite Thickness ◽  
The Finite Element Method ◽  
Method Of Calculation ◽  
Analysis And Evaluation ◽  
Settlement Calculation ◽  
3D Software ◽  
Raft Foundations ◽  
Plaxis 3D

In order to study effects of the size, the stiffness of foundation, and the applied load on the thickness of compressed zone and the settlement of raft foundations, this paper analyze methods of settlement calculation such as the method of summation of partial settlements, the method of elastic layer of finite thickness, and the finite element method with the PLAXIS 3D software. Effects of the size of foundation are considered with many areas of foundation such as 150 m2, 338 m2, 600 m2, 938 m2, 1350 m2, 1838 m2, and 2400 m2; and effects of the applied load of the upper structure are considered with many values of 150 kN/m2, 200 kN/m2, and 250 kN/m2. There are remarkable differences between settlements calculated by the analytical methods and ones simulated by PLAXIS 3D. From the analysis and evaluation of calculated results, this paper proposes a suitable method to determine the thickness of compressed zone, as well as the method of calculation of settlement for raft foundations.

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