## Piezo Electric Bending of a Beam

## Piezo Electric Bending of a Beam

Multiphysics simulation of piezoelectric bending of a laminated beam as for example can be found in actuators for MEMS (micro electro mechanical systems) devices. The model features coupled plane-stress and electrostatics physics modes with equations modified to account for the anisotropic piezo-electric coupling. The …

## Flow in Porous Media

## Flow in Porous Media

Axisymmetric laminar fluid flow in a diffusor duct or reaction chamber blocked by sections of a porous material. The model features several partially active subdomains with the Brinkman equations governing the fluid flow. The flow field with and without the porous material is compared. This model is available as an …

## Magnetic Field Around a Permanent Magnet

## Magnetic Field Around a Permanent Magnet

Example of simulation and visualization of the two-dimensional static magnetic potential field around a u-shaped permanent magnet. This model is available as an automated tutorial by selecting Model Examples and Tutorials… > from the File menu. Or alternatively, follow the linked step-by-step instructions. …

## Shrink Fitting of an Assembly

## Shrink Fitting of an Assembly

This example models shrink fitting of a two part assembly. A chilled tungsten rod is inserted into a slot in a heated steel frame. The rod can be fitted due to thermal expansion of the frame, and when the assembly reaches equilibrium temperature the two parts will be joined due to the ensuing pressure fit. The model …

## Spherical Capacitor

## Spherical Capacitor

Model of an electrostatic spherical capacitor. The example makes use of a 2D axisymmetric approximation with three subdomains, where an electric charge is applied between the middle insulating layer. For this configuration the analytic capacitance can be calculated as 4*πεrε0/dr, where dr is the thickness of the …

## Two Material Wave Guide Interface

## Two Material Wave Guide Interface

This example studies the interface between two different materials in a section of a wave guide. The change in material causes the waves to travel at different speeds. This changing diffraction pattern of the planar time harmonic waves can be investigated by using the Helmholtz equation for the amplitude of the waves A …