In a continuous deformation model, what are strain and stress?
Strain (relative stretch): 𝜖 = Δ𝑙/𝐿
Stress (internal force per area): 𝜎 = 𝑓𝑖𝑛𝑡/𝐴
What relates strain and stress?
Hooke‘s law
Which principle do we invoke to find a static equilibrium?
Principle of minimal potential energy
What are the equilibrium conditions?
What are thin shell objects?
Surface-like flexible structures
Are thin shells more resistant to stretching or bending?
stretching
How is curvature defined in 2D and 3D?
Do we use mean or Gauss curvature for measuring bending energy and why?
Mean curvature, because gauss can only change through stretching
How can we calculate bending energy on a triangle mesh?
for every edge sum the change of dihedral angles
What are the advantages and disadvantages of monolithic and partioned multi-material coupling?
Monolithic:
Fast and generally stable
Difficult to add/replace new solvers
Partitioned:
Easy to add/replace new solvers
slower, might be unstable
Last changed2 years ago
