Derivation of the nonlinear bending-torsion model for a junction of elastic rods

Mathematics – Analysis of PDEs

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

In this paper we derive the one-dimensional bending-torsion equilibrium model modeling the junction of straight rods. The starting point is a three-dimensional nonlinear elasticity equilibrium problem written as a minimization problem for a union of thin rod-like bodies. By taking the limit as the thickness of the 3D rods goes to zero, and by using ideas from the theory of $\Gamma$-convergence, we obtain that the resulting model consists of the union of the usual one-dimensional nonlinear bending-torsion rod models which satisfy the following transmission conditions at the junction point: continuity of displacement and rotation of the cross-sections and balance of contact forces and contact couples.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Derivation of the nonlinear bending-torsion model for a junction of elastic rods 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 Derivation of the nonlinear bending-torsion model for a junction of elastic rods, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Derivation of the nonlinear bending-torsion model for a junction of elastic rods will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-213618

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.