cylinder.cc File Reference

#include <fenv.h>
#include "generic.h"
#include "axisym_linear_elasticity.h"
#include "meshes/rectangular_quadmesh.h"

Go to the source code of this file.

Classes
class	AxisymmetricLinearElasticityProblem< ELEMENT, TIMESTEPPER >
	Class to validate time harmonic linear elasticity (Fourier decomposed) More...

Namespaces
	Global_Parameters
	Namespace for global parameters.

Functions
void	Global_Parameters::boundary_traction (const double &time, const Vector< double > &x, const Vector< double > &n, Vector< double > &result)
	The traction function at r=Rmin: (t_r, t_z, t_theta) More...
void	Global_Parameters::body_force (const double &time, const Vector< double > &x, Vector< double > &result)
	The body force function; returns vector of doubles in the order (b_r, b_z, b_theta) More...
void	Global_Parameters::exact_solution_th (const Vector< double > &x, Vector< double > &u)
	Helper function - spatial components of the exact solution in a vector. This is necessary because we need to multiply this by different things to obtain the velocity and acceleration 0: u_r, 1: u_z, 2: u_theta. More...
double	Global_Parameters::u_r (const double &time, const Vector< double > &x)
	Calculate the time dependent form of the r-component of displacement. More...
double	Global_Parameters::u_z (const double &time, const Vector< double > &x)
	Calculate the time dependent form of the z-component of displacement. More...
double	Global_Parameters::u_theta (const double &time, const Vector< double > &x)
	Calculate the time dependent form of the theta-component of displacement. More...
double	Global_Parameters::d_u_r_dt (const double &time, const Vector< double > &x)
	Calculate the time dependent form of the r-component of velocity. More...
double	Global_Parameters::d_u_z_dt (const double &time, const Vector< double > &x)
	Calculate the time dependent form of the z-component of velocity. More...
double	Global_Parameters::d_u_theta_dt (const double &time, const Vector< double > &x)
	Calculate the time dependent form of the theta-component of velocity. More...
double	Global_Parameters::d2_u_r_dt2 (const double &time, const Vector< double > &x)
	Calculate the time dependent form of the r-component of acceleration. More...
double	Global_Parameters::d2_u_z_dt2 (const double &time, const Vector< double > &x)
	Calculate the time dependent form of the z-component of acceleration. More...
double	Global_Parameters::d2_u_theta_dt2 (const double &time, const Vector< double > &x)
	Calculate the time dependent form of the theta-component of acceleration. More...
void	Global_Parameters::exact_solution (const double &time, const Vector< double > &x, Vector< double > &u)
	The exact solution in a vector: 0: u_r, 1: u_z, 2: u_theta and their 1st and 2nd derivs. More...
int	main (int argc, char *argv[])
	Driver code. More...

Variables
double	Global_Parameters::Nu = 0.3
	Define Poisson's ratio Nu. More...
double	Global_Parameters::E = 1.0
	Define the non-dimensional Young's modulus. More...
double	Global_Parameters::Lambda = E*Nu/(1.0+Nu)/(1.0-2.0*Nu)
	Lame parameters. More...
double	Global_Parameters::Mu = E/2.0/(1.0+Nu)
double	Global_Parameters::Omega_sq = 0.5
	Square of the frequency of the time dependence. More...
unsigned	Global_Parameters::Nr = 5
	Number of elements in r-direction. More...
unsigned	Global_Parameters::Nz = 10
	Number of elements in z-direction. More...
double	Global_Parameters::Lr = 1.0
	Length of domain in r direction. More...
double	Global_Parameters::Lz = 2.0
	Length of domain in z-direction. More...
double	Global_Parameters::Rmin = 0.1
	Set up min r coordinate. More...
double	Global_Parameters::Zmin = 0.3
	Set up min z coordinate. More...
double	Global_Parameters::Rmax = Rmin+Lr
	Set up max r coordinate. More...
double	Global_Parameters::Zmax = Zmin+Lz
	Set up max z coordinate. More...

Function Documentation

main()

int main	(	int	argc,
		char *	argv[]
	)

Driver code.

Definition at line 714 of file cylinder.cc.

References AxisymmetricLinearElasticityProblem< ELEMENT, TIMESTEPPER >::set_initial_conditions().