## Shell Idealization Over the Solid Model in Geometric Element Analysis

[sgrb_review id=3]Hello Guys,

Here, I am going to explain about the advantages of shell idealization over the solid model. I have done Geometric Element Analysis on sheet metal bracket using Creo Simulate (Pro Mechanica)

I have considered 2 cases, one for the sheet metal bracket with the 3D solid model and another one for the same component of 2D Shell model.

## 1.BOUNDARY CONDITIONS

Following Boundary and Design, Considerations are taken for the analysis

**Units**

S.NO | Unit | Value |

1. | Length | Mm |

2. | Mass | Kg |

3. | Time | Sec |

4. | Temperature | C |

**Material Details**

S.NO | Description | Value |

1. | Material | Steel |

2. | Density | 7.83*10^-06 Kg/mm^3 |

3. | Young’s Modulus | 200 GPa |

4. | Poisson’s Ratio | 0.27 |

5. | Symmetry | Isotropic |

**Sheet Metal Bracket**

The drawing details of the model Considered for this analysis

**Load**

Uniformly distributed Load of 100 Kg applied on loading area (mentioned in the figure)

**Constraints**

All the Degree Of Freedom fixed at the M8 tap hole (mentioned in the figure)

__2. MESHING__

In Creo Simulate, the default solver is Auto GEM, which uses p-method to solve the model i.e. It uses the highest polynomials order of each element to solve the element equation instead of changing the number of elements (like FEA method) i.e. it changing the element shape to get the better result. That’s why Creo Simulate also called Geometric Element Analysis (GEA) application.

**Case 1: Mesh – Sheet Metal 3D Solid Model**

**Case 1: Mesh – Sheet Metal 3D Solid Model**

In this case, the model considered as solid. The model meshed with the Auto GEM option with the maximum element size of 6 mm.

Auto GEM created totally 8689 Tetrahedron elements on Solid Model in 0.03 minutes.

**Case 2: Mesh – Sheet Metal 2D Shell Idealized**

**Case 2: Mesh – Sheet Metal 2D Shell Idealized**

In this case, thin mid-shell made on the solid model using shell pair option in the Creo Simulate & meshing done with the Auto GEM

Auto GEM created totally 248 triangular & 664 Quadrilateral elements in Shell Model in less than 0.01 minutes

** Solid Mesh Vs Shell Mesh**

This chart shows the difference of meshing operation between the 3D Solid model & the 2D Shell model

From the chart, it clearly shows solid model takes more time for meshing than shell model because it creates a large number of 3D elements while the shell model requires less number of 2D elements.* *

*here the 3D Solid model takes nearly 10 times more elements than 2D Shell model.*

## 3.RESULT COMPARISON

Figure shows the difference between displacement analysis of solid and shell model. The result variation between both cases is less than 1%.

From the analyzed result the deformed magnitude displacement of the solid model is 2.44 mm and the shell model is 2.49 mm. The variation in result between the both cases are very low.

I have generated following charts to understand the difference between both cases

Total analysis takes 7.65 seconds for the shell model and 24.42 seconds for the solid model. The disk space consumed by the solid model is 175 Mb and the shell mode is 35 Mb

## OBSERVED ADVANTAGES

- The 2D Shell model of the component takes
*less time to mesh*comparatively the 3D Solid model of the same component - Displacement
*result varies less than 1%*between the 2D shell model & the 3D solid model of the same component - The 3D solid model of the component nearly consumes
*3 times more TIME*than the 2D shell model of the same component - The 3D solid model of the component requires nearly
*5 times more disk space*than the 2D shell model of the same component

LIMITATION

- The 2d Shell model only applicable for the model with symmetric projection from the midplane like Sheet Metal Components.
- Not suitable for Non-Linear analysis such as Large deformation & contact.( Paul Kloninger suggested)

## CONCLUSION

Creo Simulates (Pro Mechanica) provides the powerful option Shell pair for extracting mid-plane from the solid model. Analysis with the mid-plane efficiently savings the time taken and the disk space for an analysis.

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