The results show that the increase of the porosity had little effect on the maximum contact pressure and contact half-width under the given load.
For Gibson materials (i.e., k= 1andν="0.5), closed-form analytical solutions can be obtained for the critical contact half-width at pull-off and pull-off force.
Closed-form analytical solutions are obtained for the interfacial traction, deformation field and the equilibrium relation among applied load, contact half-width and the size of cohesive zone.
The pull-off force and the contact half-width at zero applied force as functions of the temperature difference are obtained.
where F E*R a and ω are the applied load, the reduced Young's modulus, the radius of cylinder, the contact half-width and the work of adhesion, respectively.
The singular integral equation is solved numerically using Chebychev polynomials and an iterative scheme is employed to obtain the correct receding contact half-length that satisfies the global equilibrium condition.
Using integral transforms, the plane elasticity equations are converted analytically into a singular integral equation in which the unknowns are the contact pressure and the receding contact half-length.
The analysis shows that, for a special case, i.e., the direction of pulling normal to the contact interface, the full-coupled solution can be approximated by a non-oscillatory one, in which the critical pull-off force, pull-off contact half-width and adhesion strength can be expressed explicitly.
By adopting the concept that the contact size is governed by the balance between the energy release rate and the equivalent work of adhesion, the explicit expression for the applied force with respect to the contact half-width is derived analytically.
The F1Fo ATP synthases form pairs of particles of twofold symmetry, which are in contact half-way up the peripheral stalks.
