this paper investigates the lateral vibration of single-layered graphene sheets based on a new theory called doublet mechanics with a length scale parameter. after a brief reviewing of doublet mechanics fundamentals, a sixth order partial differential equation that governs the lateral vibration of single-layered graphene sheets is derived. using doublet mechanics, the relation between natural f...

This work deals with the discretization of single-phase Darcy flows in fractured and deformable porous media, including frictional contact at matrix–fracture interfaces. Fractures are described as a network planar surfaces leading to so-called mixed-dimensional models. Small displacements linear poro-elastic behavior considered matrix. One key difficulty simulate such coupled poro-mechanical mo...

Kinematics are widely used in computational processes as input parameters for displacement driven models. Small errors in kinematics can lead to compounded errors in final contact results hence accuracy is of utmost importance [1]. When using registration to acquire kinematics from images, for instance magnetic resonance imaging (MRI), the initial conditions from manual registration may potenti...

The peak forces exerted on soft and rigid samples by a force microscope have been modeled by performing numerical simulations of the tip motion in liquid. The forces are obtained by using two contact mechanics models, Hertz and Tatara. We present a comparison between the numerical simulations and three analytical models for a wide variety of probe and operational parameters. In general, the for...

We distinguish between, and discuss the applicability of, two levels of rigidity in rigid-body collision modeling. For rigidity in the strong, force-response, sense collisional contact deformations must be highly localized. The bodies then move according to second order rigid-body mechanics during the collision. Incremental collision laws and most collision models using continuum mechanics for ...

abstract: application of atomic force microscope as a manipulator for pushing-based positioning of nano-particles has been of considerable interest during recent years. however a detailed modeling of the interaction forces and control on the afm tip is important for prosperous manipulation control, a reliable control of the afm tip position during the afm-based manipulation process is a main is...