A goal for many applications is to predict physics in thin structures, such as shells, without modeling the thickness of the structure. This is because large aspect ratios can cause meshing and geometry analysis problems. This model...
This example shows a 2D plane stress model of a thin tapered cantilever. Different boundary and load scenarios are examined. It is demonstrated how to apply and how to evaluate different load and constraint groups. Resulting stresses are...
The Black-Scholes equation, computes the value u of a European stock option. Black-Scholes derived an analytical expression for the solution to this problem. However, the formula works only for certain cases; for instance, you cannot...
The European standard EN ISO 10211:2007 for thermal bridges in building constructions provides four test models—two 2D and two 3D—for validating a numerical method (Ref. 1). If the values obtained by a method conform to the results of...
In modeling of transport by diffusion or conduction in thin layers, we often encounter large differences in dimensions of the different domains in a model. If the modeled structure is a so-called sandwich structure, we can replace the...
The example shows a 1D steady-state thermal analysis including radiation to a prescribed ambient temperature. The temperature field from the solution of this benchmark model is compared with a NAFEMS benchmark solution.
This example shows a 2D steady-state thermal analysis including convection to a prescribed external (ambient) temperature. It is given as a benchmarking example. The benchmark result for the target location is a temperature of 18.25 C....
This example shows a plane stress analysis of a mechanical component. The component is cut from a 4 mm steel plate. The thickness is small compared to the length and breadth in the x-y plane. Due to this, and the fact that the applied...
This model couples the Navier Stokes equations and the heat transfer equations to examine density driven flow of free fluids. Here the fluid is in a square cavity with a heated wall. The buoyancy force is a Boussinesq term added to the...
This example analyzes the deformation of a feeder clamp under stress. The clamp secures a feeder that carries high-frequency electromagnetic fields, and it’s important that it remains as straight as possible. Forces on the clamp include...
