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
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
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
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
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
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
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 …
Cylindrical Pressure Vessel
A long cylindrical thick walled pressure vessel is here subjected to both a high internal pressure and thermal expansion. The model and solution is symmetric and also suitable for modeling with the two-dimensional plane strain approximation. This problem allows for an analytical solution which is used to validate and …
Deflection of a Bracket
In this example a three dimensional model of a solid bracket with a cylindrical hole is subjected to an external load. The vertical side of the bracket is fixed to a wall (thus zero displacement boundary conditions are applied there), while the outer end of the bracket is loaded with a force of 104 Pa in the negative …
Deformation of a Spanner
Tutorial example of calculating deformation and deflection in a spanner where the geometry is given in and imported from a STL CAD file. This model is available as an automated tutorial by selecting Model Examples and Tutorials… > Structural Mechanics > Deformation of a Spanner from the File menu, and also …