The Incremental Shear Modulus in an Incompressible Elastic Material

1997 ◽  
pp. 767-771
Author(s):  
K. N. Sawyers ◽  
R. S. Rivlin
Keyword(s):  
Shear Modulus ◽  
Elastic Material

The steady flow of closely fitting incompressible elastic spheres in a tube

1978 ◽  
Vol 87 (1) ◽  
pp. 1-16 ◽  
Author(s):  
Hüsnü Tözeren ◽  
Richard Skalak
Keyword(s):  
Shear Modulus ◽  
Steady Flow ◽  
Elastic Material ◽  
Displacement Field ◽  
Series Solution ◽  
Cylindrical Tube ◽  
Lubrication Theory ◽  
Flow Properties ◽  
Circular Cylindrical Tube ◽  
Neutrally Buoyant

The steady flow of a suspension of closely fitting, neutrally buoyant, incompressible and elastic spheres through a circular cylindrical tube is investigated under the assumption that lubrication theory is valid in the fluid region. A series solution giving the displacement field of an elastic incompressible sphere under axisymmetrically distributed surface tractions is developed. It is found that, for closely fitting particles, flow properties of the suspension are strongly dependent on the shear modulus of the elastic material and the velocity of the particle.

The incremental shear modulus in an incompressible elastic material

Meccanica ◽  
1978 ◽  
Vol 13 (4) ◽  
pp. 225-229 ◽  
Author(s):  
K. N. Sawyers ◽  
R. S. Rivlin
Keyword(s):  
Shear Modulus ◽  
Elastic Material

The elastic properties of films in e.h.l. contacts

1980 ◽  
Vol 372 (1749) ◽  
pp. 155-168 ◽  
Keyword(s):  
Shear Strength ◽  
Shear Modulus ◽  
Elastic Properties ◽  
Elastic Material ◽  
Radial Force ◽  
Ultimate Shear Strength ◽  
Axis Of Rotation ◽  
Ball Rolling

An optical elastohydrodynamic rig was constructed to measure the inwards radial force of a ball rolling on a plate. The axis of rotation of the ball could be set to give known amounts of side slip and spin. Hertz pressures up to 2 GPa could be achieved. Four fluids were used, a tractant, 5-phenyl 4 ether, a paraffinic cylinder stock and a highly refined synthetic hydro­carbon. It is shown that the film changes from a viscous to an elastic material the shear modulus and ultimate shear strength of which rise mostly linearly with pressure. Their ratio approaches 1/(2 π ) (as predicted by Frenkel’s theory (1926).

Sign in / Sign up

Export Citation Format

Share Document