VM-WB-MECH-063

VM-WB-MECH-063
Large Deflection of a Cantilever

Overview

Reference:	Bathe, K. J., & Dvorkin, E. N. (1986). A formulation of general shell elements - The use of mixed interpolation of tensorial components. International Journal for Numerical Methods in Engineering, 22(3), 720-720.
Solver(s):	Ansys Mechanical
Analysis Type(s):	Static Structural Analysis
Element Type(s):	Shell

Test Case

A cantilever plate of length , width b, and thickness t is fixed at one end and subjected to a pure bending moment M at the free end. Determine the true (large deflection) free-end displacements and the top surface stress at the fixed end using shell elements.

Figure 85: Schematic

Material Properties

Geometric Properties

E = 1800 N/mm²

ν = 0.0

= 12 mm

b = 1 mm

t = 1 mm

M = 15.708 N-mm (Y direction)

Analysis

Large deformation is used to simulate the problem.

Results Comparison

Results	Target	Mechanical	Error (%)
Directional Deformation X-direction (mm)	-2.9	-2.8999	-0.003
Directional Deformation Z-direction (mm)	-6.5	-6.5755	1.162
Normal Stress X-direction (N/mm²)	94.25	93.625	-0.663