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 …
Heat Induced Stress in a Brake Disc
Heat Induced Stress in a Brake Disc
This multiphysics model examines temperature and heat induced stresses for one braking cycle in a brake disc assembly, and involves coupling of the stress-strain and heat transfer physics modes. The braking process consists of applying a brake pad to the front part of the disc which induces heat through friction, and …
Stretching of a Thin Plate with a Hole
Stretching of a Thin Plate with a Hole
This example is a well known benchmark test case from structural mechanics, a thin plate with a circular hole in the center is subjected to a load and stretched along the horizontal axis. The plate is thin enough to satisfy the two dimensional plane stress approximation, and since both the problem and solution will be …
Natural Convection in a Square Cavity
Natural Convection in a Square Cavity
This multiphysics model illustrates natural convection effects in a unit square domain using the Boussinesq approximation. The model involves a Navier-Stokes equations physics mode, representing the fluid flow with solid wall or no-slip boundary conditions everywhere. In addition a heat transfer physics mode is added …
Axisymmetric Fluid Flow
Axisymmetric Fluid Flow
FEATool is designed to be able to perform complex multiphysics simulations in arbitrary dimensions (1D, 2D, and 3D). However, running full 3D simulations often requires a significant amount of computational resources in the form of memory and simulation time. It is therefore desirable to find simplifications to reduce …
Black-Scholes Equation
Black-Scholes Equation
This is an example showing how to define a custom parital differential equation (PDE) equation model in the FEATool Multiphysics. In this case the Black-Scholes model equation, which is used in financial analytics to model derivatives and options pricing. The non-linear partial differential equation to be solved reads …
Cantilever Beam
Cantilever Beam
A test case for a one dimensional model of a cantilever beam which is fixed to a wall at the left end. Using Euler-Bernoulli beam theory three test cases are studied for which reference solutions are available, a point load at the left end, a uniform distributed load, and the natural vibration modes and frequencies …