Physics – Mathematical Physics
Scientific paper
2010-08-24
Physics
Mathematical Physics
10 pages, 1 figure
Scientific paper
It is the aim of the paper to present a new point of view on rotational elasticity in a nonlinear setting using orthogonal matrices. The proposed model, in the linear approximation, reduces to the well known equilibrium equations of static linear elasticity. An appropriate kinetic energy is identified and we present a dynamical model of rotational elasticity. The propagation of elastic waves in such a medium is studied and we find two classes of waves, transversal rotational waves and longitudinal rotational waves, both of which are solutions of the nonlinear partial differential equations. For certain parameter choices, the transversal wave velocity can be greater than the longitudinal wave velocity. Moreover, parameter ranges are identified where the model describes an auxetic material. However, in all cases the potential energy functional is positive definite. We present one possible way of visualising transversal rotational waves.
No associations
LandOfFree
Modelling rotational elasticity with orthogonal matrices 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 Modelling rotational elasticity with orthogonal matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modelling rotational elasticity with orthogonal matrices will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-393706