Mixed 3D Solid Finite Element

In this example we generate a three-dimensional finite element to analyze hyperelastic solid problems. The element has the following characteristics:

• Hexahedral topology
• Eight nodes
• Isoparametric mapping from reference to actual frame
• Global unknowns that are displacements of the nodes
• Enhanced strain formulation to improve shear and volumetric locking response

Minimization of Free Energy

Here we consider steady-state heat conduction on a three-dimensional domain. The solution of the same physical problem can be obtained via multiple methods, shown here as a minimum of the free energy of the system. The domain of the example is a cube filled with water and containing a constant heat source. The upper surface is isolated so that there is no heat flow over the boundary. On all other sides a constant temperature is maintained. The task is to calculate the temperature distribution inside the cube.