exponential damage omega Peerlings, R., De Borst, R., Brekelmans, W., Geers, M. More...

#include <DamageLawExponential.h>

Inheritance diagram for NuTo::Constitutive::DamageLawExponential:

Public Member Functions
	DamageLawExponential (double kappa0, double beta, double alpha)

	DamageLawExponential (Material::Softening m)

double	Damage (double kappa) const override
	calculates the damage for a given history variable kappa More...

double	Derivative (double kappa) const override
	calculates the derivative of the damage with respect to the history variable kappa More...

Detailed Description

exponential damage omega Peerlings, R., De Borst, R., Brekelmans, W., Geers, M.

. Gradient-enhanced damage modelling of concrete fracture. Mechanics of Cohesive-frictional Materials 1998;3(4):323–342.

\[ \omega = \begin{cases} 0 & \text{if } \kappa < \kappa_0 \\ 1 - \frac{\kappa_0}{\kappa} \left(1 - \alpha + \alpha \exp \left( \frac{f_t}{g_f} (\kappa_0 - \kappa) \right) \right) & \text{otherwise}. \end{cases} \]

Constructor & Destructor Documentation

NuTo::Constitutive::DamageLawExponential::DamageLawExponential	(	double	kappa0,
		double	beta,
		double	alpha
	)

inline

NuTo::Constitutive::DamageLawExponential::DamageLawExponential ( Material::Softening m )

inline

Member Function Documentation

double NuTo::Constitutive::DamageLawExponential::Damage ( double kappa ) const

inlineoverridevirtual

calculates the damage for a given history variable kappa

Parameters

kappa history variable

Returns: damage

Implements NuTo::Constitutive::DamageLaw.

double NuTo::Constitutive::DamageLawExponential::Derivative ( double kappa ) const