Convergence of equilibria of thin elastic rods under physical growth conditions for the energy density

Details Convergence of equilibria of thin elastic rods under physical growth conditions for the energy density Convergence of equilibria of thin elastic rods under physical growth conditions for the energy density

2010-10-04

arxiv.org/abs/1010.0492v1

Mathematics

Analysis of PDEs

Scientific paper

The subject of this paper is the study of the asymptotic behaviour of the equilibrium configurations of a nonlinearly elastic thin rod, as the diameter of the cross-section tends to zero. Convergence results are established assuming physical growth conditions for the elastic energy density and suitable scalings of the applied loads, that correspond at the limit to different rod models: the constrained linear theory, the analogous of von K\'arm\'an plate theory for rods, and the linear theory.

Affiliated with

Also associated with

No associations

Rating

Convergence of equilibria of thin elastic rods under physical growth conditions for the energy density 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 Convergence of equilibria of thin elastic rods under physical growth conditions for the energy density, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convergence of equilibria of thin elastic rods under physical growth conditions for the energy density will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-274060