The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity

Details The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity

2009-12-21

arxiv.org/abs/0912.4135v1

Mathematics

Analysis of PDEs

16 pages

Scientific paper

The asymptotic behaviour of the solutions of three-dimensional nonlinear elastodynamics in a thin plate is studied, as the thickness $h$ of the plate tends to zero. Under appropriate scalings of the applied force and of the initial values in terms of $h$, it is shown that three-dimensional solutions of the nonlinear elastodynamic equation converge to solutions of the time-dependent von K\'arm\'an plate equation.

Affiliated with

Also associated with

No associations

Rating

The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity 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 The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-302316