On the passage from atomistic systems to nonlinear elasticity theory

Details On the passage from atomistic systems to nonlinear elasticity theory On the passage from atomistic systems to nonlinear elasticity theory

2011-07-21

arxiv.org/abs/1107.4155v1

Mathematics

Analysis of PDEs

Scientific paper

We derive continuum limits of atomistic models in the realm of nonlinear elasticity theory rigorously as the interatomic distances tend to zero. In particular we obtain an integral functional acting on the deformation gradient in the continuum theory which depends on the underlying atomistic interaction potentials and the lattice geometry. The interaction potentials to which our theory applies are general finite range models which in particular can also account for multi-pole interactions and bond-angle dependent contributions.

Affiliated with

Also associated with

No associations

Rating

On the passage from atomistic systems to nonlinear elasticity theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the passage from atomistic systems to nonlinear elasticity theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the passage from atomistic systems to nonlinear elasticity theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-687380