Polydomain liquid crystalline (nematic) elastomers have highly unusual mechanical properties, dominated by the dramatically nonlinear stress–strain response that reflects stress-induced evolution of domain patterns. Here, we study classical Hertz indentation problem in such a material. Experimentally, find polydomain nematic display smaller exponent than 3/2 load vs. depth response. This is puz...

the equations governing the motion of steel balls and their impact onto shell liners in industrial semi-autogenous grinding (sag) mills are derived in full details by the authors and are used in order to determine the effective design variables for optimizing the working conditions of the mill and to avoid severe impacts which lead to the breakage of sag mill shell liners. these design variable...

| This paper presents a method to compute stiiness matrices for compliant grasps and xtures. While the linear spring contact model has been widely used by robotics researchers, it is in general not accurate for practical applications. More realistic models, including the well-veriied Hertz model, are incorporated by use of overlap functions. We derive a stiiness matrix formula that considers su...

The fundamentals of particle-particle adhesion for ultrafine particles (d < 10 μm) are presented using continuum mechanics approaches. The models for elastic (Hertz, Huber), elastic-adhesive (Derjaguin, Johnson, Maugis, Greenwood), viscoelastic (Yang), plastic-adhesive (Krupp, Molerus, Johnson, Maugis & Pollock) contact displacement response of a single, normal loaded, isotropic, smooth contact...

The failure of Maxwell's equations to exhibit invariance under the Galilean transformation was corrected by Hertz through a simple, but today largely forgotten, mathematical trick. This involves substituting total (convective) time derivatives for partial time derivatives wherever the latter appear in Maxwell's equations. By this means Hertz derived a formally Galilean-invariant covering theory...

A micro/nano-scale computational contact mechanics model is proposed to study the adhesive contact between deformable bodies. To model adhesive contact, an interatomic interaction potential is incorporated into the framework of nonlinear continuum mechanics. The ensuing contact model is cast into an efficient finite element formulation which is implemented using an updated Lagrangian approach. ...

Wheel wear has been a concern in the railway for several decades. Studying the form change of the wheel/rail contacts in particular railways consisting of sharp curves helps to identify the risk of severe or catastrophic wear to minimize maintenance costs in order to be competitive in the transportation business. In this paper, the wheel/rail contact was studied on the particular railways. The ...