Solution approaches for large strain mechanics

  • Thread starter bcl
  • Start date
  • #1
bcl
16
1
I’m studying large strain and deformation solid mechanics and I have a (seemingly) basic question on solution approaches. Is my interpretation below correct?

The governing equation of momentum for solid mechanics can be solved using a total or updated Lagrangian approach. The updated Lagrangian form is sometimes expressed in rate form. The rate form (of the updated Lagrangian approach) permits use of the small strain approximation since only the increment of displacement is considered from the current time t to time t+dt. However, when using a rate form, the stress rate appears in the equation of virtual work, and therefore an objective rate must be used.
 

Answers and Replies

  • #2
114
3
No, you can only use small strain "linear elasticity" if the material is undergoing small elastic strains. If it's a polymer or something that is undergoing large elastic strains, then you have to use a hyperelastic relation. In rate form, this would be called "hypo"-elasticity.
 

Related Threads on Solution approaches for large strain mechanics

  • Last Post
Replies
11
Views
6K
Replies
7
Views
1K
Replies
2
Views
22K
Replies
2
Views
16K
Replies
7
Views
870
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
12
Views
4K
Replies
5
Views
6K
Top