VM-WB-MECH-011

VM-WB-MECH-011
Large Deflection of a Circular Plate With Uniform Pressure

Overview

Reference:	Timoshenko, S.P., Woinowsky-Krieger, S. (n.d.) Theory of Plates and Shells (2nd ed.). McGraw-Hill. (Article 97, Equation 232, p. 401).
Solver(s):	Ansys Mechanical
Analysis Type(s):	Nonlinear Structural Analysis (Large Deformation On)
Element Type(s):	Shell

Test Case

A circular plate is subjected to a uniform pressure on its flat surface. The circular edge of the plate is fixed. To get accurate results, apply sizing control with element size of 5 mm on the circular edge.

Find the total deformation at the center of the plate.

Figure 11: Schematic

Material Properties

Geometric Properties

E = 2e11 Pa

ν = 0.3

Radius = 0.25 m

Thickness = 0.0025 m

Pressure = 6585.18 Pa

Results Comparison

Results	Target	Mechanical	Error (%)
Total deformation (m)	0.00125	0.0012356	-1.152