Stress Analysis of a Thick Plate
This is a benchmark and validation model for linear elasticity where an elliptical thick plate with a hole is subjected to a uniform pressure load of 106 MPa [1]. The outer surface is assumed to be constrained from expansion, in addition to the center line which is fixed in the z-direction. Symmetry is also utilized so …
Supersonic Flow Over an Obstacle
Steady inviscid flow over a cylindrical bump using the compressible Euler equations. The flow at the inlet is supersonic with Ma = 1.4 resulting in a series of reflected shock waves as the flow hits the obstacle]. The obstacle could represent anything from a protrusion on an aircraft wing to a structural feature in a …
Transient Heat Diffusion in a Rod
This example is a classic one-dimensional transient heat diffusion problem where a solid rod of unit length is kept at fixed temperature at the right end, T = 25, and losing heat from a constant outward heat flux qn = 1 at the other end. After the simulation the computed results can be compared with the analytic …
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 …
Vibration Modes of a Hollow Cylinder
This model studies the vibration modes of a free and hollow cylinder using an axisymmetric approximation. No loads or constrains are applied as the free modes are sought. The cylinder is 10 m long, has a center diameter of 2 m, and is 0.4 m thick. Moreover, the material of the cylinder is considered to be steel with E …
Vibrations of a Circular Membrane
This example computes the the vibration modes, eigenvalues, and frequencies for a circular drum or membrane. The membrane is modeled by the unit circle and assumed to be attached to a rigid frame. The Poisson PDE equation is used with the Eigenvalue solver to compute the solution. This model is available as an …
Vortex Flow
This example studies the time dependent decay from introducing standing vortices in a periodic domain. Due to the even spacing and counter rotation, the vortices will stay in place and simply loose intensity with time, and eventually the flow will return to a perfectly steady state. This is in fact one of the few model …
Wave Equation on a Circle
This tutorial explains how to set up and solve a generalized wave equation model on a circle, like for example for a drum or membrane, and then tracks how the initial parabolic deformed state will affect the resulting shape. The wave equation is one of the classic hyperbolic partial differential equations (PDE) of the …
Interference and Diffraction
The classic double-slit experiment considers a planar and periodic oscillating wave which hits and passes two narrow slits. Assuming the slits are narrow enough, the passing waves will bend and cause an interference pattern, while diffraction will attenuate the off axis resulting amplitude. In the example the Helmholtz …
Topology Optimization with MATLAB and FEATool Multiphysics
This is an advanced model example showing how topology optimization can be implemented and modeled with FEATool. The model has been developed and kindly shared to us by Prof. Shintaro Yamasaki at the Department of Mechanical Engineering of Osaka University. In contrast to standard simulations where the domain and …