# Patch test for thermal-electrical elements

 This problem contains basic test cases for one or more Abaqus elements and features. The following topics are discussed:

ProductsAbaqus/Standard

• 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:

$T=C0+C1⁢x+C2⁢y+C3⁢z$, where T is the temperature, $C0$ through $C3$ are arbitrary constants, and x, y, z denote spatial location. $ϕ=D0+D1⁢x+D2⁢y+D3⁢z$, where $ϕ$ is the electrical potential, $D0$ through $D3$ 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.