oomph-lib: pseudo_buckling_ring.h File Reference

Classes
class	oomph::PseudoBucklingRing
	Pseudo buckling ring: Circular ring deformed by the N-th buckling mode of a thin-wall elastic ring. $x = R_0 \cos(\zeta) + \epsilon \left( \cos(N \zeta) \cos(\zeta) - A \sin(N \zeta) \sin(\zeta) \right) sin(2 \pi t/T)$ $y = R_0 \sin(\zeta) + \epsilon \left( \cos(N \zeta) \sin(\zeta) + A \sin(N \zeta) \cos(\zeta) \right) sin(2 \pi t/T)$ where A is the ratio of the aziumuthal to the radial buckling amplitude (A=-1/N for statically buckling rings) and epsilon is the buckling amplitude. More...

class	oomph::PseudoBucklingRingElement
	Pseudo buckling ring: Circular ring deformed by the N-th buckling mode of a thin-wall elastic ring. $x = R_0 \cos(\zeta) + \epsilon \left( \cos(N \zeta) \cos(\zeta) - A \sin(N \zeta) \sin(\zeta) \right) sin(2 \pi t/T)$ $y = R_0 \sin(\zeta) + \epsilon \left( \cos(N \zeta) \sin(\zeta) + A \sin(N \zeta) \cos(\zeta) \right) sin(2 \pi t/T)$ where A is the ratio of the aziumuthal to the radial buckling amplitude (A=-1/N for statically buckling rings) and epsilon is the buckling amplitude. Scale R_0 is adjusted to ensure conservation of (computational) volume/area. This is implemented by a pseudo-elasticity approach: The governing equation for is: $p_{ref} = R_0 - 1.0$ The pointer to the reference pressure needs to be set with reference_pressure_pt(). More...

Classes