Modeling of the Axial and Tilt Stiffness Between a Magnet Track and a Ferromagnetic Backing

2007 ◽  
Author(s):  
Jay Krishnasamy ◽  
Jairo Moura
Keyword(s):  
Finite Element ◽  
Stress Tensor ◽  
Magnetic Bearings ◽  
Magnetic Interactions ◽  
Finite Element Models ◽  
Maxwell Stress ◽  
Modeling And Analysis ◽  
Maxwell Stress Tensor ◽  
Proposed Model ◽  
Radial Forces

This paper consists of modeling and analysis of the axial and radial forces as well as axial and tilt stiffness between a magnetic track and a ferromagnetic backing. The proposed model utilizes the concept of Maxwell stress tensor and simplified reluctance models in order to predict the magnetic interactions between the rotor and the stator. In other to verify the model developed, finite element models and experiments are performed for the case of a linear magnetic track. The results can be applied to the case of rotary tracks without loss of generality. Applications of this work can be used in the design of magnetic bearings or servo motors with ferromagnetic stators.

scholarly journals Numerical modelling of nonlinear electromechanical coupling of an atomic force microscope with finite element method

2010 ◽  
Vol 8 ◽  
pp. 33-36 ◽  
Author(s):  
J. Freitag ◽  
W. Mathis
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Atomic Force Microscope ◽  
Stress Tensor ◽  
Electromechanical Coupling ◽  
Maxwell Stress ◽  
Maxwell Stress Tensor ◽  
Atomic Force ◽  
Monolithic Approach ◽  
Element Method

Abstract. In this contribution, an atomic force microscope is modelled and in this context, a non-linear coupled 3-D-boundary value problem is solved numerically using the finite element method. The coupling of this system is done by using the Maxwell stress tensor. In general, an iterative weak coupling is used, where the two physical problems are solved separately. However, this method does not necessarily guarantee convergence of the nonlinear computation. Hence, this contribution shows the possibility of solving the multiphysical problem by a strong coupling, which is also referred to as monolithic approach. The electrostatic field and the mechanical displacements are calculated simultaneously by solving only one system of equation. Since the Maxwell stress tensor depends nonlinearly on the potential, the solution is solved iteratively by the Newton method.

A First-Principles Method of Determining Van Der Waals Forces in a Dissipative Media

2012 ◽  
Author(s):  
Yi Zheng ◽  
Arvind Narayanaswamy
Keyword(s):  
Stress Tensor ◽  
First Principles ◽  
Van Der Waals ◽  
Maxwell Stress ◽  
Quantum Field ◽  
Maxwell Stress Tensor ◽  
Lifshitz Theory ◽  
Dissipative Media ◽  
Dissipative Material ◽  
Vdw Force

Lifshitz theory of van der Waals (vdW) force and energy is strictly valid when the location at which the stress tensor is calculated is in vacuum. Generalization of Lifshitz theory to the case when the stress tensor is to be calculated in a dissipative material, as opposed to vacuum, is a surprisingly difficult undertaking because there is no expression for the electromagnetic stress tensor in dissipative materials. Here, we derive the expression for vdW force in planar dissipative media by calculating the Maxwell stress tensor in a fictious layer of vacuum, that is eventually made to vanish, introduced in the structure, without employing the complicated quantum field theoretic method proposed by Dzyaloshinskii, Lifshitz, and Pitaevskii. Even though this work has proven to be a corroboration of Dzyaloshinskii et al., it has thrown new light on our understanding of vdW forces and suggests that it should be possible to achieve the similar result for objects with arbitrary shapes.

scholarly journals Electromechanics of the liquid water vapour interface

2020 ◽  
Vol 22 (19) ◽  
pp. 10676-10686 ◽  
Author(s):  
Chao Zhang ◽  
Michiel Sprik
Keyword(s):  
Water Vapor ◽  
Stress Tensor ◽  
Water Vapour ◽  
Surface Potential ◽  
Liquid Water ◽  
Maxwell Stress ◽  
Capillary Effect ◽  
Vapor Interface ◽  
Maxwell Stress Tensor ◽  
Anisotropic Stress

The response of the anisotropic stress at the liquid water vapor interface to a finite electric suggests that the surface potential of water can be seen as an electro-capillary effect coupled to the Maxwell stress tensor.

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