Hertz contact theory has been widely used for the determination of cell elasticity based on AFM indentation experiments. In light of the adhesive contact between AFM tip and cell, this study applied Johnson-Kendall-Roberts (JKR) model to fit the indentation force-displacement (F-D) curves reported previously. A MIN6 cell has been modeled as first a sphere and then a flattened cell with differen...

Abstract We present a novel smoothed particle hydrodynamics-discrete element method (SPH-DEM) approach for the simulation of deformable granular media. First, we show how converges to analytical solution in simple contact mechanics problem, namely Hertz law elastic spherical grains. Second, analyze evolution 2D packing disks under uniaxial compression, displaying key metrics such as coordinatio...

In chemical mechanical polishing (CMP), a rigid wafer is forced on a rough elastomeric polishing pad, while a slurry containing abrasive particles flows through the interface. One of the important factors that influence the material removal rate in CMP is the magnitude of contact force transmitted to the abrasive particles trapped at the contact interface. The total push-down force is distribut...

An analysis is presented to estimate the perturbation of morphology-dependent optical resonances (MDRs) of spherical dielectric cavities due to acceleration. In the model, the optical cavity is attached to a rigid base that is accelerating. Hertz contact theory is used to describe the contact surface between the base and the sphere, and the Navier equation is solved to obtain an expression for ...

Once cancer is initiated, with normal cells mutated into malignant ones, a solid tumour grows, develops and spreads within its microenvironment invading the local tissue; disease progresses migrate around body leading to metastasis, formation of distant secondary tumours. Interactions between drive this cascade events which have devastating, if not fatal, consequences for human host/patient. Am...

In this paper, a generalized self-consistent scheme, or “three phase model”, is used to set up a micro-mechanics model for rough surface contact with randomly distributed asperities. The dimensionless average real pressure p is obtained as function of the ratio of the real contact area to the apparent contact area, 0 / A Ar . Both elastic and plastic materials are considered, and the influence ...