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B-03 (Morley Skew Plate)

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Objective

To verify the behavior of the MTC4 thick plate bending element in a skew shape

 

Problem Description

A skewed, simply supported plate is loaded with a uniform pressure load of 1 psi.

 

Material properties: E = 1e5 psi, ν = 0.3

 

Geometric properties: L = 100 in, h = 1 in

 

B-03 (Morley Skew Plate)1

 

Finite Element Model

16, 64, 256, 1024 shell elements

Model type: 2D Plate Bending (MITC4 thick plate formulation)

 

Results

The displacement at the plate center (C) is given by [Ref 1].

Unit: displacement - in

Displacement Dz

ENERCALC 3D

[Ref 1]

4 x 4 mesh

3.9182

3.9182

8 x 8 mesh

3.8991

3.8991

16 x 16 mesh

4.1875

4.1875

32 x 32 mesh

4.4098

4.4098

 

Comments

The displacements given by ENERCALC 3D are identical to the referenced values.  The correct theoretical displacement is given as 4.640 in.

 

Reference

[1]. Sa, Jorge, Valente and Areias “Development of shear locking-free shell elements using an enhanced assumed strain formulation”, International Journal of Numerical Methods in Engineering, 2002; 53: 1721-1750