scholarly journals Six different football shoes, one playing surface and the weather; Assessing variation in shoe-surface traction over one season of elite football

PLoS ONE ◽  
2019 ◽  
Vol 14 (4) ◽  
pp. e0216364 ◽  
Author(s):  
Athol Thomson ◽  
Rodney Whiteley ◽  
Mathew Wilson ◽  
Chris Bleakley
Keyword(s):  
Surface Traction

Finite difference code for velocity and surface traction of a Fluid between Two Eccentric Spheres

2015 ◽  
Vol 11 (1) ◽  
pp. 2960-2971
Author(s):  
M.Abdel Wahab
Keyword(s):  
Velocity Field ◽  
Angular Velocity ◽  
Finite Difference ◽  
Numerical Study ◽  
Outer Sphere ◽  
Equation Of Motion ◽  
Annular Region ◽  
Surface Traction ◽  
Angular Velocities ◽  
Axis Passing

The Numerical study of the flow of a fluid in the annular region between two eccentric sphere susing PHP Code isinvestigated. This flow is created by considering the inner sphere to rotate with angular velocity 1  and the outer sphererotate with angular velocity 2  about the axis passing through their centers, the z-axis, using the three dimensionalBispherical coordinates (, ,) .The velocity field of fluid is determined by solving equation of motion using PHP Codeat different cases of angular velocities of inner and outer sphere. Also Finite difference code is used to calculate surfacetractions at outer sphere.

scholarly journals Correction: Six different football shoes, one playing surface and the weather; Assessing variation in shoe-surface traction over one season of elite football

PLoS ONE ◽  
2019 ◽  
Vol 14 (6) ◽  
pp. e0218865
Author(s):  
Athol Thomson ◽  
Rodney Whiteley ◽  
Mathew Wilson ◽  
Chris Bleakley
Keyword(s):  
Surface Traction

Discontinuous equilibrium solutions and cavitation in nonlinear elasticity

1982 ◽  
Vol 306 (1496) ◽  
pp. 557-611 ◽  
Keyword(s):  
Singular Solution ◽  
Direct Method ◽  
Homogeneous Solution ◽  
Singular Solutions ◽  
Large Strains ◽  
Critical Surface ◽  
Surface Traction ◽  
Equilibrium Solutions ◽  
Growth Properties ◽  
The Stability

A study is made of a class of singular solutions to the equations of nonlinear elastostatics in which a spherical cavity forms at the centre of a ball of isotropic material placed in tension by means of given surface tractions or displacements. The existence of such solutions depends on the growth properties of the stored-energy function W for large strains and is consistent with strong ellipticity of W . Under appropriate hypotheses it is shown that a singular solution bifurcates from a trivial (homogeneous) solution at a critical value of the surface traction or displacement, at which the trivial solution becomes unstable. For incompressible materials both the singular solution and the critical surface traction are given explicitly, and the stability of all solutions with respect to radial motion is determined. For compressible materials the existence of singular solutions is proved for a class of strongly elliptic materials by means of the direct method of the calculus of variations, an important step in the analysis being to show that the only radial equilibrium solutions without cavities are homogeneous. Work of Gent & Lindley (1958) shows that the critical surface tractions obtained agree with those observed in the internal rupture of rubber.

Third Paper: Traction in Elastohydrodynamic Contacts

1967 ◽  
Vol 182 (1) ◽  
pp. 300-306 ◽  
Author(s):  
M. A. Plint
Keyword(s):  
Shear Strength ◽  
Fluid Film ◽  
Extreme Conditions ◽  
Asperity Contact ◽  
Surface Traction ◽  
Elastohydrodynamic Contact ◽  
Fluid Behaviour ◽  
Contact Size

Measurements of frictional traction in a circular elastohydrodynamic contact have been made over a comprehensive range of conditions. The results suggest the existence of a limiting shear strength in the fluid film and this is shown to be a function of temperature and contact size. Existing theories of fluid behaviour under extreme conditions of stress are considered and some modifications are suggested. The contribution of asperity contact to surface traction is examined.

Stress Analysis of Multilayered Anisotropic Elastic Media

1991 ◽  
Vol 58 (2) ◽  
pp. 382-387 ◽  
Author(s):  
Hyung Jip Choi ◽  
S. Thangjitham
Keyword(s):  
Stress Analysis ◽  
Stiffness Matrix ◽  
Transversely Isotropic ◽  
Solution Procedure ◽  
Plane Elasticity ◽  
Elastic Media ◽  
Surface Traction ◽  
Anisotropic Elastic ◽  
The Fourier Transform ◽  
Infinite Media

The stress analysis of multilayered anisotropic media subjected to applied surface tractions is performed within the framework of linear plane elasticity. The solutions are obtained based on the Fourier transform technique together with the aid of the stiffness matrix approach. A general solution procedure is introduced such that it can be uniformly applied to media with transversely isotropic, orthotropic, and monoclinic layers. As an illustrative example, responses of the semi-infinite media composed of unidirectional and angle-ply layers to a given surface traction are presented.

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