1.5.9 Patch test for thermal-electrical elements

Product: ABAQUS/Standard  

Elements tested

DCAX3E    DCAX4E    DCAX6E    DCAX8E   

DC2D3E    DC2D4E    DC2D6E    DC2D8E   

DC3D4E    DC3D6E    DC3D8E    DC3D10E    DC3D15E    DC3D20E   

Problem description

The meshes used for the thermal-electrical element tests are the same as those used for the corresponding heat transfer elements.

Boundary conditions:

, where T is the temperature, through are arbitrary constants, and x, y, z denote spatial location. , where is the electrical potential, through are arbitrary constants, and x, y, z denote spatial location. Temperature and electrical potentials are prescribed at every node along the boundary of the mesh.

Reference solution

Fluxes: Since the temperature and electrical potential fields are chosen to be linear, they have constant spatial gradients and, thus, have constant fluxes at every integration point.

Results and discussion

All elements yield exact solutions.

Input files

eca3vfpj.inp

DCAX3E elements.

eca4vfpj.inp

DCAX4E elements.

eca6vfpj.inp

DCAX6E elements.

eca8vfpj.inp

DCAX8E elements.

ec23vfpj.inp

DC2D3E elements.

ec24vfpj.inp

DC2D4E elements.

ec26vfpj.inp

DC2D6E elements.

ec28vfpj.inp

DC2D8E elements.

ec34vfpj.inp

DC3D4E elements.

ec36vfpj.inp

DC3D6E elements.

ec38vfpj.inp

DC3D8E elements.

ec3avfpj.inp

DC3D10E elements.

ec3fvfpj.inp

DC3D15E elements.

ec3kvfpj.inp

DC3D20E elements.