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# Validation Case: Impact of an Elastoplastic Bar

This validation case belongs to an elastoplastic impact in solid mechanics. The aim of this test case is to validate the following parameters:

• Dynamic analysis
• Frictional contact
• Elastoplasticity
• Large deformations

The simulation results of SimScale were compared to the numerical results presented in [SDNV103]$$^1$$.

## Geometry

The geometry used for the case is as follows:

It represents an elastoplastic bar in the z-direction and a rectangular plate in the x-y plane with the following coordinates for each point:

## Analysis Type and Mesh

Tool Type: Code Aster

Analysis Type: Dynamic

Mesh and Element Types:

The tetrahedral mesh was computed using SimScale’s Standard mesh algorithm and manual sizing. The hexahedral meshes were computed locally and uploaded into the simulation project.

## Simulation Setup

Material:

• Bi-linear Plasticity Isotropic:
• $$E =$$ 117 $$GPa$$
• $$\nu =$$ 0.35
• $$\sigma_y =$$ 400 $$MPa$$
• $$E_T =$$ 500 $$MPa$$

Boundary Conditions:

• Initial Conditions:
• Velocity of 227 $$m/s$$ to volume IJKLM (bar)
• Constraints:
• Volume ABCDEFGH (plate) fixed
• Face IKLN zero x-displacement
• Face IJLM zero y-displacement

## Reference Solution

The reference solution is from a numerical computation as presented section 2 of [SDNV103]$$^1$$, which are taken as the mean results of [Stainer]$$^2$$:

$$DX_J = 3.87 mm$$

$$DZ_L = 13.46 mm$$

## Result Comparison

Comparison of displacements at points J (DX) and L (DZ) at time $$t = 9×10^{-5}\ s$$:

Illustration of the final shape (case B) can be found in Figure 4. The elastoplastic deformation due to the impact can be appreciated: