VM-WB-MECH-084

VM-WB-MECH-084
Mullins Effect on a Rubber Tube Model Subjected to Tension Loading

Overview

Reference:

Ogden.W., et al. (1989). A Pseudo-elastic Model for the Mullins Effect in Filled Rubber. Royal Society of London Proceedings Series A, 2861-2877.

Solver(s):

Ansys Mechanical

Analysis Type(s):Static Analysis
Element Type(s):Solid

Test Case

An axisymmetric rubber plate made of Neo-Hookean material is modeled with radius R and height H. The model is subjected to cyclic displacement loading on the top surface. The axial stress obtained at different load steps is compared against the reference solution.

This problem is also presented in

VM268

in the Mechanical APDL Verification Manual.

Figure 110: Schematic

Schematic

Material PropertiesGeometric PropertiesLoading

Neo-Hookean Constants:

µ = 8 MPa

Ogden-Roxburgh Mullins Constants:

r = 2.104
m = 30.45
β =0.2

R = 0.5m

H = 1m

One cycle of loading

Step 1: λ = 1.5

Step 2: λ = 2.0

Step 3: λ = 3.0

Step 4: λ = 2.0

Step 5: λ = 1.5

Step 6: λ = 1.0

Results Comparison

ResultsAxial Stress (Pa)  
Stretch λTargetMechanicalError (%)
1.512.66612.6670.008
2.028.00028.0000.0
3.069.33369.3330.0
2.020.81920.8230.019
1.58.6608.67040.12
1.00.0000.00.0

Figure 111: Variation of Axial Stress

Variation of Axial Stress