Description

Laminated thick shell with geometrically exact kinematics, with 4 nodes.

It generalizes the Reissner thick shell theory (in fact each layer requires a ChMaterialShellReissner) by using the Chroscielewski 6-dof field shell theory as discussed in:

Wojciech Witkowski, "4-Node combined shell element with semi-EAS-ANS strain interpolations in 6-parameter shell theories with drilling degrees of freedom", Comp.Mech 2009.

This specific implementation is based on the paper:

Marco Morandini, Pierangelo Masarati, "Implementation and validation of a 4-node shell finite element", IDETC/CIE 2014.

The node numbering is in ccw fashion as in the following scheme:

        v
        ^
        |
D o-----+-----o C
  |     |     |
--+-----+-----+----> u
  |     |     |
A o-----+-----o B

#include <ChElementShellReissner4.h>

Inheritance diagram for chrono::fea::ChElementShellReissner4:

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Collaboration diagram for chrono::fea::ChElementShellReissner4:

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Classes
class	Layer
	Definition of a layer. More...

Public Types
enum	IntegrationPoint { IP_1_1 = 0, IP_1_2 = 1, IP_1_3 = 2, IP_2_1 = 3, IP_2_2 = 4, IP_2_3 = 5, IP_3_1 = 6, IP_3_2 = 7, IP_3_3 = 8, NUMIP = 4 }

enum	ShearStrainEvaluationPoint { SSEP_1 = 0, SSEP_2 = 1, SSEP_3 = 2, SSEP_4 = 3, NUMSSEP = 4 }

enum	NodeName { NODE1 = 0, NODE2 = 1, NODE3 = 2, NODE4 = 3, NUMNODES = 4 }

enum	Deformations { STRAIN = 0, CURVAT = 1, NUMDEFORM = 2 }

enum	InnerEASdofs { IDOFS = 7 }

using	ShapeVector = ChMatrixNM< double, 1, 4 >

Public Member Functions
virtual int	GetNnodes () override
	Get the number of nodes used by this element.

virtual int	GetNdofs () override
	Get the number of coordinates in the field used by the referenced nodes.

virtual int	GetNodeNdofs (int n) override
	Get the number of coordinates from the n-th node used by this element.

void	SetNodes (std::shared_ptr< ChNodeFEAxyzrot > nodeA, std::shared_ptr< ChNodeFEAxyzrot > nodeB, std::shared_ptr< ChNodeFEAxyzrot > nodeC, std::shared_ptr< ChNodeFEAxyzrot > nodeD)
	Specify the nodes of this element. More...

virtual std::shared_ptr< ChNodeFEAbase >	GetNodeN (int n) override
	Access the n-th node of this element.

std::shared_ptr< ChNodeFEAxyzrot >	GetNodeA () const
	Get a handle to the first node of this element.

std::shared_ptr< ChNodeFEAxyzrot >	GetNodeB () const
	Get a handle to the second node of this element.

std::shared_ptr< ChNodeFEAxyzrot >	GetNodeC () const
	Get a handle to the third node of this element.

std::shared_ptr< ChNodeFEAxyzrot >	GetNodeD () const
	Get a handle to the fourth node of this element.

void	SetAsNeutral ()
	Sets the neutral rotations of nodes A,B,C,D, at once, assuming the current element position is for zero strain.

void	AddLayer (double thickness, double theta, std::shared_ptr< ChMaterialShellReissner > material)
	Add a layer. More...

void	SetLayerZreferenceCentered ()
	Impose the reference z level of shell element as centered along the total thickness. More...

void	SetLayerZreference (double z_from_bottom)
	Impose the reference z level of shell element respect to the lower face of bottom layer Note! Use after you added all layers.

size_t	GetNumLayers () const
	Get the number of layers.

const Layer &	GetLayer (size_t i) const
	Get a handle to the specified layer.

double	GetLengthX () const
	Set the structural damping: this is the Rayleigh "alpha" OBSOLETE create a ChDampingReissnerRayleigh object and add to layer material to have the same effect void SetAlphaDamp(double a) { m_Alpha = a; } More...

double	GetLengthY () const
	Get the element length in the Y direction.

double	GetThickness ()
	Get the total thickness of the shell element (might be sum of multiple layer thicknesses)

ChQuaternion	GetAvgRot ()

void	ShapeFunctions (ShapeVector &N, double x, double y)
	Fills the N shape function matrix.

void	ShapeFunctionsDerivativeX (ShapeVector &Nx, double x, double y)
	Fills the Nx shape function derivative matrix with respect to X.

void	ShapeFunctionsDerivativeY (ShapeVector &Ny, double x, double y)
	Fills the Ny shape function derivative matrix with respect to Y.

ChVector	EvaluateGP (int igp)

ChVector	EvaluatePT (int ipt)

virtual unsigned int	iGetNumDof (void) const
	Inner EAS dofs.

virtual void	GetStateBlock (ChVectorDynamic<> &mD) override
	Fill the D vector with the current field values at thenodes of the element, with proper ordering. More...

virtual void	ComputeKRMmatricesGlobal (ChMatrixRef H, double Kfactor, double Rfactor=0, double Mfactor=0) override
	Set H as the stiffness matrix K, scaled by Kfactor. More...

virtual void	ComputeMmatrixGlobal (ChMatrixRef M) override
	Set M as the global mass matrix.

virtual void	ComputeInternalForces (ChVectorDynamic<> &Fi) override
	Computes the internal forces. More...

virtual void	Update () override
	Update the state of this element.

virtual void	EvaluateSectionDisplacement (const double u, const double v, ChVector<> &u_displ, ChVector<> &u_rotaz) override
	Gets the xyz displacement of a point on the shell, and the rotation RxRyRz of section reference, at parametric coordinates 'u' and 'v'. More...

virtual void	EvaluateSectionFrame (const double u, const double v, ChVector<> &point, ChQuaternion<> &rot) override
	Gets the absolute xyz position of a point on the shell, and the absolute rotation of section reference, at parametric coordinates 'u' and 'v'. More...

virtual void	EvaluateSectionPoint (const double u, const double v, ChVector<> &point) override
	Gets the absolute xyz position of a point on the shell, at parametric coordinates 'u' and 'v'. More...

void	ComputeInternalJacobians (double Kfactor, double Rfactor)
	Compute Jacobians of the internal forces. More...

void	ComputeMassMatrix ()
	Compute the mass matrix of the element. More...

virtual int	LoadableGet_ndof_x () override
	Gets the number of DOFs affected by this element (position part).

virtual int	LoadableGet_ndof_w () override
	Gets the number of DOFs affected by this element (velocity part).

virtual void	LoadableGetStateBlock_x (int block_offset, ChState &mD) override
	Gets all the DOFs packed in a single vector (position part).

virtual void	LoadableGetStateBlock_w (int block_offset, ChStateDelta &mD) override
	Gets all the DOFs packed in a single vector (velocity part).

virtual void	LoadableStateIncrement (const unsigned int off_x, ChState &x_new, const ChState &x, const unsigned int off_v, const ChStateDelta &Dv) override
	Increment all DOFs using a delta.

virtual int	Get_field_ncoords () override
	Number of coordinates in the interpolated field, ex=3 for a tetrahedron finite element or a cable, = 1 for a thermal problem, etc.

virtual int	GetSubBlocks () override
	Get the number of DOFs sub-blocks.

virtual unsigned int	GetSubBlockOffset (int nblock) override
	Get the offset of the specified sub-block of DOFs in global vector.

virtual unsigned int	GetSubBlockSize (int nblock) override
	Get the size of the specified sub-block of DOFs in global vector.

virtual bool	IsSubBlockActive (int nblock) const override
	Check if the specified sub-block of DOFs is active.

virtual void	EvaluateSectionVelNorm (double U, double V, ChVector<> &Result) override
	Virtual method to plot velocity field distribution. More...

virtual void	LoadableGetVariables (std::vector< ChVariables * > &mvars) override
	Get the pointers to the contained ChVariables, appending to the mvars vector.

virtual void	ComputeNF (const double U, const double V, ChVectorDynamic<> &Qi, double &detJ, const ChVectorDynamic<> &F, ChVectorDynamic<> state_x, ChVectorDynamic<> state_w) override
	Evaluate N'F , where N is some type of shape function evaluated at U,V coordinates of the surface, each ranging in -1..+1 F is a load, N'F is the resulting generalized load Returns also det[J] with J=[dx/du,..], that might be useful in gauss quadrature. More...

virtual void	ComputeNF (const double U, const double V, const double W, ChVectorDynamic<> &Qi, double &detJ, const ChVectorDynamic<> &F, ChVectorDynamic<> state_x, ChVectorDynamic<> state_w) override
	Evaluate N'F , where N is some type of shape function evaluated at U,V,W coordinates of the volume, each ranging in -1..+1 F is a load, N'F is the resulting generalized load Returns also det[J] with J=[dx/du,..], that might be useful in gauss quadrature. More...

virtual double	GetDensity () override
	This is needed so that it can be accessed by ChLoaderVolumeGravity. More...

virtual ChVector	ComputeNormal (const double U, const double V) override
	Gets the normal to the surface at the parametric coordinate U,V. More...

Public Member Functions inherited from chrono::fea::ChElementShell
virtual bool	IsTriangleShell ()
	Return false if quadrilateral shell - hence u,v parametric coordinates assumed in -1..+1, return true if triangular shell - hence u,v are triangle natural coordinates assumed in 0..+1.

Public Member Functions inherited from chrono::fea::ChElementGeneric
ChKblockGeneric &	Kstiffness ()
	Access the proxy to stiffness, for sparse solver.

virtual void	EleIntLoadResidual_F (ChVectorDynamic<> &R, const double c) override
	Add the internal forces (pasted at global nodes offsets) into a global vector R, multiplied by a scaling factor c, as R += forces * c This default implementation is SLIGHTLY INEFFICIENT.

virtual void	EleIntLoadResidual_Mv (ChVectorDynamic<> &R, const ChVectorDynamic<> &w, const double c) override
	Add the product of element mass M by a vector w (pasted at global nodes offsets) into a global vector R, multiplied by a scaling factor c, as R += M * w * c This default implementation is VERY INEFFICIENT.

virtual void	EleIntLoadResidual_F_gravity (ChVectorDynamic<> &R, const ChVector<> &G_acc, const double c) override
	Add the contribution of gravity loads, multiplied by a scaling factor c, as: R += M * g * c This default implementation is VERY INEFFICIENT. More...

virtual void	ComputeGravityForces (ChVectorDynamic<> &Fg, const ChVector<> &G_acc) override
	Compute the gravitational forces. More...

virtual void	InjectKRMmatrices (ChSystemDescriptor &descriptor) override
	Tell to a system descriptor that there are item(s) of type ChKblock in this object (for further passing it to a solver)

virtual void	KRMmatricesLoad (double Kfactor, double Rfactor, double Mfactor) override
	Add the current stiffness K and damping R and mass M matrices in encapsulated ChKblock item(s), if any. More...

virtual void	VariablesFbLoadInternalForces (double factor=1.) override
	Add the internal forces, expressed as nodal forces, into the encapsulated ChVariables.

virtual void	VariablesFbIncrementMq () override
	Add M*q (internal masses multiplied current 'qb').

Public Member Functions inherited from chrono::fea::ChElementBase
virtual int	GetNdofs_active ()
	Get the actual number of active degrees of freedom. More...

virtual int	GetNodeNdofs_active (int n)
	Get the actual number of active coordinates from the specified node that are used by this element. More...

virtual void	ComputeNodalMass ()
	Compute element's nodal masses.

virtual void	EleDoIntegration ()
	This is optionally implemented if there is some internal state that requires integration.

Public Member Functions inherited from chrono::ChLoadableUV
virtual bool	IsTriangleIntegrationNeeded ()
	If true, use quadrature over u,v in [0..1] range as triangle area coords (with z=1-u-v) otherwise use default quadrature over u,v in [-1..+1] as rectangular isoparametric coords.

Public Member Functions inherited from chrono::ChLoadableUVW
virtual bool	IsTetrahedronIntegrationNeeded ()
	If true, use quadrature over u,v,w in [0..1] range as tetrahedron volumetric coords (with z=1-u-v-w) otherwise use default quadrature over u,v,w in [-1..+1] as box isoparametric coords.

virtual bool	IsTrianglePrismIntegrationNeeded ()
	If true, use quadrature over u,v in [0..1] range as triangle natural coords (with z=1-u-v), and use linear quadrature over w in [-1..+1], otherwise use default quadrature over u,v,w in [-1..+1] as box isoparametric coords.

Public Attributes
std::vector< std::shared_ptr< ChNodeFEAxyzrot > >	m_nodes
	element nodes

std::vector< Layer >	m_layers
	element layers

std::vector< double >	m_layers_z
	layer separation z values (not scaled, default centered tot thickness)

double	tot_thickness
	total element thickness

double	m_lenX
	element length in X direction

double	m_lenY
	element length in Y direction

ChMatrixNM< double, 24, 24 >	m_MassMatrix
	mass matrix

ChMatrixNM< double, 24, 24 >	m_JacobianMatrix
	Jacobian matrix (Kfactor[K] + Rfactor[R])

ChVariablesGenericDiagonalMass *	mvariables

ChVector	xa_0 [NUMNODES]

ChVector	xa [NUMNODES]

ChMatrix33	iTa [NUMNODES]

ChMatrix33	iTa_i [NUMIP]

ChMatrix33	iTa_A [NUMSSEP]

ChVector	phi_tilde_n [NUMNODES]

ChVector	phi_tilde_i [NUMIP]

ChVector	phi_tilde_A [NUMSSEP]

ChVector	phi_tilde_0

ChMatrix33	T0_overline

ChMatrix33	T_overline

ChMatrix33	T_0_0

ChMatrix33	T_0_i [NUMIP]

ChMatrix33	T_0_A [NUMSSEP]

ChMatrix33	T_0

ChMatrix33	T_i [NUMIP]

ChMatrix33	T_A [NUMSSEP]

ChMatrix33	Phi_Delta_i [NUMIP][NUMNODES]

ChMatrix33	Phi_Delta_A [NUMIP][NUMNODES]

ChMatrix33	Kappa_delta_i_1 [NUMIP][NUMNODES]

ChMatrix33	Kappa_delta_i_2 [NUMIP][NUMNODES]

ChMatrix33	Q_i [NUMIP]

ChMatrix33	Q_A [NUMSSEP]

ChVector	k_1_i [NUMIP]

ChVector	k_2_i [NUMIP]

ChVector	eps_tilde_1_0_i [NUMIP]

ChVector	eps_tilde_2_0_i [NUMIP]

ChVector	eps_tilde_1_0_A [NUMSSEP]

ChVector	eps_tilde_2_0_A [NUMSSEP]

ChVector	eps_tilde_1_i [NUMIP]

ChVector	eps_tilde_2_i [NUMIP]

ChVector	eps_tilde_1_A [NUMSSEP]

ChVector	eps_tilde_2_A [NUMSSEP]

ChVector	k_tilde_1_0_i [NUMIP]

ChVector	k_tilde_2_0_i [NUMIP]

ChVector	k_tilde_1_i [NUMIP]

ChVector	k_tilde_2_i [NUMIP]

ChMatrixNM< double, 2, 2 >	S_alpha_beta_0

ChMatrixNM< double, 2, 2 >	S_alpha_beta_i [NUMIP]

ChMatrixNM< double, 2, 2 >	S_alpha_beta_A [NUMSSEP]

double	alpha_0

double	alpha_i [NUMIP]

ChMatrixNM< double, 4, 2 >	L_alpha_beta_i [NUMIP]

ChMatrixNM< double, 4, 2 >	L_alpha_beta_A [NUMSSEP]

ChMatrixNM< double, 12, 24 >	B_overline_i [NUMIP]

ChMatrixNM< double, 15, 24 >	D_overline_i [NUMIP]

ChMatrixNM< double, 15, 15 >	G_i [NUMIP]

ChMatrixNM< double, 12, IDOFS >	P_i [NUMIP]

ChMatrixNM< double, IDOFS, IDOFS >	K_beta_beta_i [NUMIP]

ChVector	y_i_1 [NUMIP]

ChVector	y_i_2 [NUMIP]

ChVectorN< double, IDOFS >	beta

ChVectorN< double, 12 >	epsilon_hat

ChVectorN< double, 12 >	epsilon

ChVectorN< double, 12 >	stress_i [NUMIP]

bool	bFirstRes

Static Public Attributes
static double	xi_i [NUMIP][2]

static double	w_i [NUMIP] = {1., 1., 1., 1.}

static double	xi_A [NUMSSEP][2] = {{0., 1.}, {-1., 0.}, {0., -1.}, {1., 0.}}

static double	xi_n [NUMNODES][2]

static double	xi_0 [2] = {0., 0.}

Additional Inherited Members
Protected Attributes inherited from chrono::fea::ChElementShell
double	mass

Protected Attributes inherited from chrono::fea::ChElementGeneric
ChKblockGeneric	Kmatr

Member Function Documentation

◆ AddLayer()

void chrono::fea::ChElementShellReissner4::AddLayer	(	double	thickness,
		double	theta,
		std::shared_ptr< ChMaterialShellReissner >	material
	)

Add a layer.

By default, when adding more than one layer, the reference z level of the shell element is centered along the total thickness.

Parameters

thickness	layer thickness
theta	fiber angle (radians)
material	layer material

◆ ComputeInternalForces()

void chrono::fea::ChElementShellReissner4::ComputeInternalForces ( ChVectorDynamic<> & Fi )

overridevirtual

Computes the internal forces.

(E.g. the actual position of nodes is not in relaxed reference position) and set values in the Fi vector.

Implements chrono::fea::ChElementBase.

◆ ComputeInternalJacobians()

void chrono::fea::ChElementShellReissner4::ComputeInternalJacobians	(	double	Kfactor,
		double	Rfactor
	)

Compute Jacobians of the internal forces.

This function calculates a linear combination of the stiffness (K) and damping (R) matrices, J = Kfactor * K + Rfactor * R for given coefficients Kfactor and Rfactor. This Jacobian will be further combined with the global mass matrix M and included in the global stiffness matrix H in the function ComputeKRMmatricesGlobal().

◆ ComputeKRMmatricesGlobal()

void chrono::fea::ChElementShellReissner4::ComputeKRMmatricesGlobal	(	ChMatrixRef	H,
		double	Kfactor,
		double	Rfactor = `0`,
		double	Mfactor = `0`
	)

overridevirtual

Set H as the stiffness matrix K, scaled by Kfactor.

Optionally, also superimposes global damping matrix R, scaled by Rfactor, and mass matrix M, scaled by Mfactor. Matrices are expressed in global reference. Corotational elements can take the local Kl & Rl matrices and rotate them.

Implements chrono::fea::ChElementBase.

◆ ComputeMassMatrix()

void chrono::fea::ChElementShellReissner4::ComputeMassMatrix ( )

Compute the mass matrix of the element.

Note: in this 'basic' implementation, constant section and constant material are assumed

◆ ComputeNF() [1/2]

void chrono::fea::ChElementShellReissner4::ComputeNF	(	const double	U,
		const double	V,
		ChVectorDynamic<> &	Qi,
		double &	detJ,
		const ChVectorDynamic<> &	F,
		ChVectorDynamic<> *	state_x,
		ChVectorDynamic<> *	state_w
	)

overridevirtual

Evaluate N'*F , where N is some type of shape function evaluated at U,V coordinates of the surface, each ranging in -1..+1 F is a load, N'*F is the resulting generalized load Returns also det[J] with J=[dx/du,..], that might be useful in gauss quadrature.

Parameters

U	parametric coordinate in surface
V	parametric coordinate in surface
Qi	Return result of Q = N'*F here
detJ	Return det[J] here
F	Input F vector, size is =n. field coords.
state_x	if != 0, update state (pos. part) to this, then evaluate Q
state_w	if != 0, update state (speed part) to this, then evaluate Q

Implements chrono::ChLoadableUV.

◆ ComputeNF() [2/2]

void chrono::fea::ChElementShellReissner4::ComputeNF	(	const double	U,
		const double	V,
		const double	W,
		ChVectorDynamic<> &	Qi,
		double &	detJ,
		const ChVectorDynamic<> &	F,
		ChVectorDynamic<> *	state_x,
		ChVectorDynamic<> *	state_w
	)

overridevirtual

Evaluate N'*F , where N is some type of shape function evaluated at U,V,W coordinates of the volume, each ranging in -1..+1 F is a load, N'*F is the resulting generalized load Returns also det[J] with J=[dx/du,..], that might be useful in gauss quadrature.

Parameters

U	parametric coordinate in volume
V	parametric coordinate in volume
W	parametric coordinate in volume
Qi	Return result of N'*F here, maybe with offset block_offset
detJ	Return det[J] here
F	Input F vector, size is = n.field coords.
state_x	if != 0, update state (pos. part) to this, then evaluate Q
state_w	if != 0, update state (speed part) to this, then evaluate Q

Implements chrono::ChLoadableUVW.

◆ ComputeNormal()

ChVector chrono::fea::ChElementShellReissner4::ComputeNormal	(	const double	U,
		const double	V
	)

overridevirtual

Gets the normal to the surface at the parametric coordinate U,V.

Each coordinate ranging in -1..+1.

Implements chrono::ChLoadableUV.

◆ EvaluateSectionDisplacement()

void chrono::fea::ChElementShellReissner4::EvaluateSectionDisplacement	(	const double	u,
		const double	v,
		ChVector<> &	u_displ,
		ChVector<> &	u_rotaz
	)

overridevirtual

Gets the xyz displacement of a point on the shell, and the rotation RxRyRz of section reference, at parametric coordinates 'u' and 'v'.

Note, u=-1..+1 , v= -1..+1 parametric coordinates, except if triangular shell, where u=0..+1, v=0..+1, natural triangle coords. Results are not corotated.

Implements chrono::fea::ChElementShell.

◆ EvaluateSectionFrame()

void chrono::fea::ChElementShellReissner4::EvaluateSectionFrame	(	const double	u,
		const double	v,
		ChVector<> &	point,
		ChQuaternion<> &	rot
	)

overridevirtual

Gets the absolute xyz position of a point on the shell, and the absolute rotation of section reference, at parametric coordinates 'u' and 'v'.

Note, u=-1..+1 , v= -1..+1 parametric coordinates, except if triangular shell, where u=0..+1, v=0..+1, natural triangle coords. Results are corotated.

Implements chrono::fea::ChElementShell.

◆ EvaluateSectionPoint()

void chrono::fea::ChElementShellReissner4::EvaluateSectionPoint	(	const double	u,
		const double	v,
		ChVector<> &	point
	)

overridevirtual

Gets the absolute xyz position of a point on the shell, at parametric coordinates 'u' and 'v'.

Note, u=-1..+1 , v= -1..+1 parametric coordinates, except if triangular shell, where u=0..+1, v=0..+1, natural triangle coords. Results are corotated.

Implements chrono::fea::ChElementShell.

◆ EvaluateSectionVelNorm()

void chrono::fea::ChElementShellReissner4::EvaluateSectionVelNorm	(	double	U,
		double	V,
		ChVector<> &	Result
	)

overridevirtual

Virtual method to plot velocity field distribution.

Note, u=-1..+1 , v= -1..+1 parametric coordinates, except if triangular shell, where u=0..+1, v=0..+1, natural triangle coords.

Implements chrono::fea::ChElementShell.

◆ GetDensity()

double chrono::fea::ChElementShellReissner4::GetDensity ( )

overridevirtual

This is needed so that it can be accessed by ChLoaderVolumeGravity.

Density is mass per unit surface.

Implements chrono::ChLoadableUVW.

◆ GetLengthX()

double chrono::fea::ChElementShellReissner4::GetLengthX ( ) const

inline

Set the structural damping: this is the Rayleigh "alpha" OBSOLETE create a ChDampingReissnerRayleigh object and add to layer material to have the same effect void SetAlphaDamp(double a) { m_Alpha = a; }

Get the element length in the X direction.

◆ GetStateBlock()

void chrono::fea::ChElementShellReissner4::GetStateBlock ( ChVectorDynamic<> & mD )

overridevirtual

Fill the D vector with the current field values at thenodes of the element, with proper ordering.

If the D vector has not the size of this->GetNdofs_x(), it will be resized. {x_a y_a z_a Rx_a Rx_a Rx_a x_b y_b z_b Rx_b Ry_b Rz_b}

Implements chrono::fea::ChElementBase.

◆ SetLayerZreferenceCentered()

void chrono::fea::ChElementShellReissner4::SetLayerZreferenceCentered ( )

Impose the reference z level of shell element as centered along the total thickness.

This is the default behavior each time you call AddLayer(); Note! Use after you added all layers.

◆ SetNodes()

void chrono::fea::ChElementShellReissner4::SetNodes	(	std::shared_ptr< ChNodeFEAxyzrot >	nodeA,
		std::shared_ptr< ChNodeFEAxyzrot >	nodeB,
		std::shared_ptr< ChNodeFEAxyzrot >	nodeC,
		std::shared_ptr< ChNodeFEAxyzrot >	nodeD
	)

Specify the nodes of this element.

Member Data Documentation

◆ xi_i

double chrono::fea::ChElementShellReissner4::xi_i

static

Initial value:

= {{-1. / std::sqrt(3.), -1. / std::sqrt(3.)},
                                                                           {1. / std::sqrt(3.), -1. / std::sqrt(3.)},
                                                                           {1. / std::sqrt(3.), 1. / std::sqrt(3.)},
                                                                           {-1. / std::sqrt(3.), 1. / std::sqrt(3.)}}

◆ xi_n

double chrono::fea::ChElementShellReissner4::xi_n

static

Initial value:

= {{1., 1.},
                                                                              {-1., 1.},
                                                                              {-1., -1.},
                                                                              {1., -1.}}

The documentation for this class was generated from the following files:

/builds/uwsbel/chrono/src/chrono/fea/ChElementShellReissner4.h
/builds/uwsbel/chrono/src/chrono/fea/ChElementShellReissner4.cpp

Description

Classes

Public Types

Public Member Functions

Public Attributes

Static Public Attributes

Additional Inherited Members

Member Function Documentation

◆ AddLayer()

◆ ComputeInternalForces()

◆ ComputeInternalJacobians()

◆ ComputeKRMmatricesGlobal()

◆ ComputeMassMatrix()

◆ ComputeNF() [1/2]

◆ ComputeNF() [2/2]

◆ ComputeNormal()

◆ EvaluateSectionDisplacement()

◆ EvaluateSectionFrame()

◆ EvaluateSectionPoint()

◆ EvaluateSectionVelNorm()

◆ GetDensity()

◆ GetLengthX()

◆ GetStateBlock()

◆ SetLayerZreferenceCentered()

◆ SetNodes()

Member Data Documentation

◆ xi_i

◆ xi_n