Notifications
Clear all

Calculating strain energy density in cyclic loading of rubber-like materials


Melly
Posts: 30
Topic starter
(@melly)
Eminent Member
Joined: 2 years ago

For monotonic loading, obtaining the strain energy density data is straightforward: calculating the area under the stress-strain curve. 

However, obtaining the same for cyclic loading appears to be tricky. Do I have to calculate differently for the loading and unloading curves? I tried this but I get unusual curves. 

Any idea on the correct method of obtaining the strain energy density data for cyclic loading? I will appreciate it. I need this data to model the Mullins effect. 

Thanks in advance, 

Melly

2 Replies
Jorgen
Posts: 3941
Moderator
(@jorgen)
Member
Joined: 2 years ago

The same approach should apply for cyclic loading. The easiest way to do it numerically is to do it incrementally one data point at a time. 

Note that MCalibration can plot strain energy density (and it should work for most material models 😉). Here's a figure for a hyperelastic + Mullins model.

Note that the strain energy function for a Mullins model is a bit different since the damage is not "visible" until unloading.

/Jorgen

Reply
1 Reply
Melly
(@melly)
Joined: 2 years ago

Eminent Member
Posts: 30

@jorgen Many thanks, appreciated.

Reply
Share: