VM138

VM138
Large Deflection Bending of a Circular Plate

Overview

Reference:	S. Timoshenko, S. Woinowsky-Knieger, Theory of Plates and Shells, McGraw-Hill Book Co., Inc., New York, NY, 1959, pg. 401, eq. 232.
Analysis Type(s):	Static Analysis (ANTYPE = 0) with Large Deflection and Stress Stiffening
Element Type(s):	2-Node Finite Strain Axisymmetric Shell (SHELL208)
Input Listing:	vm138.dat

Test Case

A circular plate (radius a and thickness t) built-in around its outer rim is loaded with a uniform pressure p. Determine the deflection δ at the center of the plate.

Figure 192: Circular Plate Problem Sketch

Material Properties

Geometric Properties

E = 2 x 10¹¹ N/m²

υ = 0.3

a = 0.25 m

t = 0.0025 m

p = 6585.175 N/m²

Results Comparison

	Target	Mechanical APDL	Ratio
Deflection, m	-0.00125	-0.00124[1]	0.991

UY @ Node 1