Cruciform crack in an orthotropic elastic plane

1992 ◽  
Vol 53 (4) ◽  
pp. 387-397 ◽  
Author(s):  
J. De ◽  
B. Patra
Keyword(s):  
Elastic Plane

Elastic Plane Problems in Cartesian Coordinates

2018 ◽  
pp. 205-241
Author(s):  
Abdel-Rahman Ragab ◽  
Salah Eldin Bayoumi
Keyword(s):  
Elastic Plane ◽  
Cartesian Coordinates

scholarly journals Seismic modeling of two depositional systems

1994 ◽  
Vol 37 (5) ◽  
Author(s):  
G. Brancolini ◽  
G. Casula ◽  
C. De Cillia ◽  
A. Manzella ◽  
A. Polonia ◽  
...  
Keyword(s):  
Flood Plain ◽  
Alluvial Plain ◽  
Elastic Plane ◽  
Seismic Modeling ◽  
Accurate Analysis ◽  
2D Modeling ◽  
Fluid Content ◽  
Wave Velocities ◽  
Full Wave ◽  
Depositional Systems

Two ideal lithologic sections representing a tidal bar system and a fluvial complex were drawn in order to run seismic modeling programs developed by OGS on behalf of the European Community. The simulations allowed an accurate analysis of the seismic expressions of the two sections. The tidal bar system is formed by a number of sandstone lenses interlayered with siltstone and mudstone deposits. These lenses meet together on an erosion surface, while they thin and vanish in the other direction. The fluvial complex is fonned by a limestone basement overlain by coarse alluvial plain sediments which in turn are transgressed by finer flood plain sediments, including sandstone lenses stacking towards the top in a meandering belt. These lithofacies associations represent potential multi-pool reservoirs in which the mudstone layers constitute the plugs. As a function of the granulometric and depositional features of each lithological unit, together with fluid content, wave velocities and densities were evaluated. A 2D modeling for elastic plane wave propagation in these hypothesized geologic sections was run on a Cray supercomputer. The numerical scheme is based on solving the full wave equation by pseudospectral methods.

Stresses in bars mounted inside an elliptic hole of an elastic plane

1967 ◽  
Vol 3 (6) ◽  
pp. 63-65 ◽  
Author(s):  
P. I. Plakhotnyi
Keyword(s):  
Elliptic Hole ◽  
Elastic Plane

The Effect of a Tangential Contact Force Upon the Rolling Motion of an Elastic Sphere on a Plane

1958 ◽  
Vol 25 (3) ◽  
pp. 339-346
Author(s):  
K. L. Johnson
Keyword(s):  
Tangential Force ◽  
Elastic Plane ◽  
Rolling Motion ◽  
Elastic Sphere ◽  
Normal Contact ◽  
Ball Rolling ◽  
Slip Region ◽  
Flat Steel ◽  
Normal Contact Pressure ◽  
Theoretical Results

Abstract The motion and deformation of an elastic sphere rolling on an elastic plane under a normal contact pressure N have been studied for the case where a tangential force T is also sustained at the point of contact. Provided that T < μN (μ = coefficient of friction), the sphere rolls without sliding but exhibits a small velocity relative to the plane, termed “creep.” Following the work of Mindlin and Poritsky, it is shown that creep arises from slip over part of the area of contact, and further, that this slip takes place toward the trailing edge of the contact area. On the assumption of a locked region in which no slip occurs, of circular shape, tangential to the circle of contact at its leading point, surface tractions are found which satisfy the condition of no slip within the locked region and are approximately consistent with the laws of friction in the slip region. The variation of creep velocity with tangential force is thereby determined. Experimental measurements of the creep of a steel ball rolling on a flat steel surface are in reasonable agreement with the theoretical results.

The Elastic Plane With a Circular Insert, Loaded by a Tangentially Directed Force

1962 ◽  
Vol 29 (2) ◽  
pp. 362-368 ◽  
Author(s):  
M. Hete´nyi ◽  
J. Dundurs
Keyword(s):  
Closed Form ◽  
Elastic Properties ◽  
Classical Theory ◽  
Theory Of Elasticity ◽  
Elastic Plane ◽  
Elementary Functions ◽  
Explicit Formulas ◽  
Concentrated Force

The problem treated is that of a plate of unlimited extent containing a circular insert and subjected to a concentrated force in the plane of the plate and in a direction tangential to the circle. The elastic properties of the insert are different from those of the plate, and a perfect bond is assumed between the two materials. The solution is exact within the classical theory of elasticity, and is in a closed form in terms of elementary functions. Explicit formulas are given for the components of stress in Cartesian co-ordinates, and also in polar co-ordinates at the circumference of the insert.

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