An earlier finite element modeling analysis of inner cone cracks in monolithic brittle solids subject to cyclic indentation in liquids is extended to include the case of a brittle layer bonded to a compliant substrate, using a model glass/polycarbonate bilayer system as an illustrative case study. Provision is made for incorporation of plate flexure stresses, along with hydraulic pumping stress...

We investigate the propagation and scattering of highly nonlinear waves in disordered granular chains composed of diatomic (two-mass) units of spheres that interact via Hertzian contact. Using ideas from statistical mechanics, we consider each diatomic unit to be a "spin," so that a granular chain can be viewed as a spin chain composed of units that are each oriented in one of two possible ways...

The paper presents results obtained using a transient analysis technique for point contact elastohydrodynamic lubrication (EHL) problems based on a formulation that effectively couples the elastic and hydrodynamic equations. Results are presented for transverse ground surfaces in an elliptical contact that show severe ®lm thinning at the transverse limits of the contact area. This thinning is c...

A solution is developed for the oblique impact of an elastic sphere on a half-space. The Hertzian theory of impact is used for the normal components of force and velocity, and it is assumed that the contact area comprises sticking and slipping regions, in the latter of which the coefficient of friction is constant. The mixed boundary value problem for the tangential tractions and displacements ...

Stripe wear occurs when the components of hip prostheses move a sufficient distance laterally to contact the edge of the acetabular cup, causing abnormally high contact stresses. In this research, edge loading contact of prosthetic hip is analyzed in the most commonly used material pairs. The contact dimensions and maximal contact pressure are investigated in mutative normal edge loading with 3...

Atomic force microscopy is an established technique for probing the local elastic properties of materials at submicron scales. In some cases, linear elastic contact theories based on Hertzian and adhesive contact mechanics suffice to model the indentation process. However, at the large strains that are common in many nanoindentation experiments, the linear models become invalid. A force-indenta...

We report the results of nuclear magnetic resonance imaging experiments on granular beds of mustard grains fluidized by vertical vibration at ultrasonic frequencies. The variation of both granular temperature and packing fraction with height was measured within the three-dimensional cell for a range of vibration frequencies, amplitudes and numbers of grains. Small increases in vibration frequen...

Mechanical activation in mechanical removal of GaN using diamond tip and mechanochemical Al2O3 are described by the Archard equation mechanically assisted Arrhenius-type kinetic model, respectively. Evident material-removal under elastic contact occurs with assistance interfacial reactions. By analyzing reactions model Hertzian mechanics, critical volume barrier determined semiquantitatively. T...

Contact problems in solid mechanics are traditionally solved using the h-version of the finite element method. The constraints are enforced along the surfaces of e.g. elastic bodies under consideration. Standard constraint algorithms include penalty methods, Lagrange multiplier methods and combinations thereof. For complex scenarios, a major part of the solution time is taken up by operations t...