Classes
class	LinearAcceleration
	This class implements the discrete evaluation of the acceleration kernel defined as $- \int_{\Omega_e} \left(\delta w \rho h \frac{\partial^t u}{\partial t^2} + \delta \theta_x \frac{\rho h^3}{12} \frac{\partial^t \theta_x}{\partial t^2} + \delta \theta_y \frac{\rho h^3}{12} \frac{\partial^t \theta_y}{\partial t^2} \right) ~d\Omega,$ where, $\phi$ is the variation, $\rho$ is the material density, and is the section thickness. More...

Functions
template<typename NodalScalarType , typename VarScalarType , typename FEVarType >
void	displacement (const FEVarType &fe_var, const uint_t qp, typename Eigen::Matrix< VarScalarType, 3, 1 > &u, MAST::Numerics::FEMOperatorMatrix< NodalScalarType > &Bmat)

Function Documentation

◆ displacement()

template<typename NodalScalarType , typename VarScalarType , typename FEVarType >

void MAST::Physics::Elasticity::Plate::displacement	(	const FEVarType &	fe_var,
		const uint_t	qp,
		typename Eigen::Matrix< VarScalarType, 3, 1 > &	u,
		MAST::Numerics::FEMOperatorMatrix< NodalScalarType > &	Bmat
	)

inline

Definition at line 39 of file plate_linear_acceleration.hpp.

                                                                    {
     
     u.setZero();
     
     const typename FEVarType::fe_shape_deriv_t
     &fe = fe_var.get_fe_shape_data();
     
     // make sure all matrices are the right size
     Assert1(Bmat.m() == 3,
             Bmat.m(),
             "Incompatible operator size");
     Assert2(Bmat.n() == 3*fe.n_basis(),
             Bmat.n(), 3*fe.n_basis(),
             "Incompatible Operator size.");
     
     
     // set the strain displacement relation
     for (uint_t i=0; i<3; i++) {
         Bmat.set_shape_function(i, i, fe.phi(qp));
         u(i) = fe_var.u(qp, i);
     }
 }

Classes

Functions

Function Documentation

◆ displacement()