The determination of the sag in the exterior of an annular punch coupled with an elastic half-space

1971 ◽  
Vol 7 (1) ◽  
pp. 90-93
Author(s):  
V. S. Gubenko ◽  
G. M. Nakashidze
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
Annular Punch

Action of an annular punch with a plane base on a layer lying on an elastic half-space

1975 ◽  
Vol 11 (7) ◽  
pp. 694-698
Author(s):  
V. S. Gubenko ◽  
M. Ya. Kiselev ◽  
V. D. Lamzyuk
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
Plane Base ◽  
Annular Punch

scholarly journals Contact interaction of prestressed annular punch and half-space

2020 ◽  
pp. 24-30
Author(s):  
S.Yu. Babich ◽  
◽  
N.O. Yaretska ◽  
Keyword(s):  
Half Space ◽  
Contact Interaction ◽  
Elastic Half Space ◽  
Theory Of Elasticity ◽  
Natural State ◽  
Small Perturbations ◽  
Linearized Theory Of Elasticity ◽  
Annular Punch ◽  
Linearized Theory ◽  
Deformed State

The article is devoted to the task of contact interaction of the pressure of a pre-stressed cylindrical annular punch on the half-space with initial (residual) stresses without friction. It is solved for the case of unequal roots of the characteristic equation. In general, the research was carried out for the theory of great initial (ultimate) deformations and two variants of the theory of small initial ones within the framework of linearized theory of elasticity with the elastic potential having any structure. It is assumed that the initial states of the elastic annular stamp and the elastic half-space remain homogeneous and equal. The study is carried out in the coordinates of the initial deformed state, which are interrelated with Lagrange coordinates (natural state). In addition, the influence of the annular stamp causes small perturbations of the basic elastic deformed state. It is assumed that the elastic annular stamp and the elastic half-space are made of different isotropic, transversal-isotropic or composite materials.

Accuracy of Stress Analysis Using Numerical Integration of Elastic Half-Space

2013 ◽  
Vol 300-301 ◽  
pp. 1127-1135 ◽  
Author(s):  
Radim Čajka
Keyword(s):  
Finite Element ◽  
Stress Analysis ◽  
Numerical Integration ◽  
Half Space ◽  
Elastic Half Space ◽  
Rigidity Matrix ◽  
Interaction Solutions ◽  
Proposed Model ◽  
Isoparametric Elements

In case of constructions placed on subsoil, it is necessary to create a rigidity matrix for the element subsoil. That rigidity matrix should be then added up in respective positions with the rigidity matrix of an element. To clarify the proposed model of the subsoil, a method is derived for determination of vertical subsoil stress analysis under any shape of a slab construction by means of numerical integration and theory of isoparametric elements using the Jacobian transformation. This approach is rather original and represents the key contribution of this work in interaction solutions. Using the proposed approach, the method can be employed for any shape of a finite element.

Wave propagation from extended, asymmetric surface sources in an elastic half-space

1979 ◽  
Vol 69 (3) ◽  
pp. 713-735
Author(s):  
N. C. Maiti ◽  
M. Mitra
Keyword(s):  
Wave Propagation ◽  
Half Space ◽  
Surface Displacement ◽  
Elastic Half Space ◽  
Stress Distributions ◽  
Surface Motion ◽  
Common Features ◽  
Exact Determination

abstract A procedure is given for the exact determination of the displacement produced in a half-space by arbitrary stresses acting on the surface. Solutions have been obtained for three different impulsive stress distributions acting on a circular portion of the surface and some common features of the solutions are examined. Numerical values of the surface displacement are exhibited graphically in the three cases showing that the pulses comprising the surface motion are oscillatory.

Pressing of a bevel annular punch into an elastic half-space

1980 ◽  
Vol 16 (4) ◽  
pp. 293-298
Author(s):  
A. B. Roitman ◽  
S. F. Shishkanova
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
Annular Punch

Dynamic Response of a Rigid Foundation Subjected to a Distance Blast

2012 ◽  
Author(s):  
Deji Ojetola ◽  
Hamid R. Hamidzadeh
Keyword(s):  
Dynamic Response ◽  
Half Space ◽  
Integral Transform ◽  
Numerical Technique ◽  
Formal Solution ◽  
Elastic Half Space ◽  
Numerical Results ◽  
Rigid Foundation ◽  
Transform Method

Blasts and explosions occur in many activities that are either man-made or nature induced. The effect of the blasts could have a residual or devastating effect on the buildings at some distance within the vicinity of the explosion. In this investigation, an analytical solution for the time response of a rigid foundation subjected to a distant blast is considered. The medium is considered to be an elastic half space. A formal solution to the wave propagations on the medium is obtained by the integral transform method. To achieve numerical results for this case, an effective numerical technique has been developed for calculation of the integrals represented in the inversion of the transformed relations. Time functions for the vertical and radial displacements of the surface of the elastic half space due to a distant blast load are determined. Mathematical procedures for determination of the dynamic response of the surface of an elastic half-space subjected to the blast along with numerical results for displacements of a rigid foundation are provided.

Stresses in a Thin Piezoelectric Element Bonded to a Half-Space

1997 ◽  
Vol 50 (11S) ◽  
pp. S204-S209 ◽  
Author(s):  
Wolfgang E. Seemann
Keyword(s):  
Integral Equation ◽  
Shear Stress ◽  
Half Space ◽  
Piezoelectric Element ◽  
Elastic Half Space ◽  
Bonding Layer ◽  
Rigid Substrate ◽  
Stress Concentrations ◽  
Piezoceramic Element

In this paper, a thin piezoceramic element is considered which is bonded to an elastic or a rigid half-space. Such a model may be an approximation of the interaction between piezoceramic elements and elastic structures like beams and plates. For an elastic half-space, the determination of the shear stress in the bonding layer leads to a singular integral equation. A half-space which is very stiff may be modeled as a rigid substrate. For this case, displacement functions are introduced. Hamilton’s principle for electromechanical systems allows the use of Lagrange multipliers to incorporate the condition of a stress free upper surface of the piezoceramic element. The stresses in the bonding layer and in the piezoceramic element are estimated by this method and compared with Finite Element results. Though the singularity near the ends of the piezoceramic element cannot be modeled by both methods, stress concentrations can clearly be seen for the shear stress as well as for the normal stress. As infinite stresses due to the singularity do not occur in reality, the results allow an estimation of the bonding stresses except in the near vicinity of the edges. The knowledge of these stresses is important to prevent failure due to delamination.

Thermal Shock on a Circular Surface of Exposure of an Elastic Half Space

1955 ◽  
Vol 22 (2) ◽  
pp. 177-182
Author(s):  
M. A. Sadowsky
Keyword(s):  
Thermal Shock ◽  
Half Space ◽  
Arbitrary Shape ◽  
Elastic Half Space ◽  
Circular Surface ◽  
Explicit Determination

Abstract The paper presents an explicit determination of displacements and stresses in a uniform circular thermal shock. In a generalization to nonuniform shocks on surfaces of arbitrary shape, it is shown that the protrusion arising at any place is proportional to the intensity of the shock at that place.

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