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# Validation Case: Multi-Material Bar in Compression

In this case, a bar assembly with 4 parts is fixed at one end and a pressure load is applied at the opposite end.

The FEA model and the resulting comparison of the simulation results against the analytical calculations validates the use of following conditions for linear elastic static analysis in Solve:

• Restraint conditions
• von Mises stress calculation

## Geometry • Geometry Dimensions
• Part Cross Sectional Area = 2 mm by 2 mm
• Part 1 Length (L1) = 3 mm
• Part 2 Length (L2) = 10 mm
• Part 3 Length (L3) = 5 mm
• Part 4 Length (L4) = 2 mm

## Material

• Custom Material for Part 1
• Young’s Modulus (E) = 193 GPa
• Poisson’s Ratio (ν) = 0.0
• Custom Material for Part 2
• Young’s Modulus (E) = 71 GPa
• Poisson’s Ratio (ν) = 0.0
• Custom Material for Part 3
• Young’s Modulus (E) = 200 GPa
• Poisson’s Ratio (ν) = 0.0
• Custom Material for Part 4
• Young’s Modulus (E) = 110 GPa
• Poisson’s Ratio (ν) = 0.0

## Physics

• Restraints
• Fixture 1 (Fixed XYZ degrees of freedom)
• Part 4, Face 4
• Pressure: 1 MPa
• Part 1, Face 5

## Meshing

OnScale Solve automatically generates a 3D second-order tetrahedral mesh. The meshing statistics are:

Mesh Quality: Medium

## Reference Solution

With Poisson’s Ratio equal to zero, the stress is uniaxial.

For this uniaxial case, the maximum equivalent stress in all parts will be equal to the applied pressure.

## Results Comparison

The table below compares the values obtained using the analytical methods described above and the FEA analysis performed using OnScale Solve.

Outputs Analystical Method OnScale Solve
von Mises Stress 1 GPa 1 GPa 