planeelemlt Class Reference

#include <plelemlt.h>

Public Member Functions
double	approx (vector &areacoord, vector &nodval)
double	approx_nat (double xi, double eta, vector &nodval)
void	appval (double xi, double eta, long fi, long nc, vector &eps, double **val)
void	bf_matrix (matrix &n, double xi, double eta)
void	compute_eigstress (long lcid, long eid, long ri, long ci)
double	compute_error (long eid, double &e2, double &u2, double &sizel, vector *rsigfull, long flags)
void	compute_nlstress (long lcid, long eid, long ri, long ci)
void	compute_nlstressincr (long lcid, long eid, long ri, long ci)
void	compute_nonloc_nlstress (long lcid, long eid, long ri, long ci)
void	eigstrain_forces (long lcid, long eid, long ri, long ci, vector &nfor, vector &x, vector &y)
void	elchar (long eid, double *&spsig, long flags)
void	elem_integration (integratedquant iq, long lcid, long eid, long ri, long ci, vector &nv, vector &x, vector &y)
double	error (long eid, vector &n, double &a)
void	geom_matrix (matrix &gm, vector &x, vector &y)
void	incr_internal_forces (long lcid, long eid, long ri, long ci, vector &ifor, vector &x, vector &y)
void	inicipval (long eid, long ri, long ci, matrix &nodval, inictype *ictn)
void	internal_forces (long lcid, long eid, long ri, long ci, vector &ifor, vector &x, vector &y)
void	intpointval (long eid, vector &nodval, vector &ipval)
void	ip_elast_stresses (long lcid, long eid, long ri, long ci)
void	ip_strains (long lcid, long eid, long ri, long ci, vector &x, vector &y, vector &r)
void	ipcoord (long eid, long ipp, long ri, long ci, vector &coord)
void	ipcoordblock (long eid, long ri, long ci, double **coord)
void	ipvolume (long eid, long ri, long ci)
void	load_matrix (long eid, matrix &lm, vector &x, vector &y)
void	local_values (long lcid, long eid, long ri, long ci)
void	locglob_nodeval (long edid, vector &nv, vector &tnv, vector &x, vector &y)
void	mass_matrix (long eid, matrix &mm, vector &x, vector &y)
void	nod_others (long eid, long ri, long ci)
void	nod_strains_comp (long lcid, long eid)
void	nod_strains_ip (long lcid, long eid, long ri, long ci)
void	nod_stresses_ip (long lcid, long eid, long ri, long ci)
void	nodeforces (long eid, long le, double nv, vector &nf)
void	nonloc_internal_forces (long lcid, long eid, long ri, long ci, vector &ifor, vector &x, vector &y)
void	ntdbr_vector (long eid, vector &ntdbr)
void	ntn_matrix (long eid, matrix &ntn)
	planeelemlt (void)
void	res_eigstrain_forces (long lcid, long eid, vector &nfor)
void	res_incr_internal_forces (long lcid, long eid, vector &ifor)
void	res_internal_forces (long lcid, long eid, vector &ifor)
void	res_ip_strains (long lcid, long eid)
void	res_ip_stresses (long lcid, long eid)
void	res_load_matrix (long eid, matrix &lm)
void	res_mass_matrix (long eid, matrix &mm)
void	res_nonloc_internal_forces (long lcid, long eid, vector &ifor)
void	res_stiffness_matrix (long eid, matrix &sm)
void	stiffness_matrix (long eid, long ri, long ci, matrix &sm, vector &x, vector &y)
void	strains (long lcid, long eid, long ri, long ci)
void	stresses (long lcid, long eid, long ri, long ci)
void	transf_matrix (ivector &nodes, matrix &tmat)
	~planeelemlt (void)
Public Attributes
long *	cncomp
	array of cumulative numbers of components
long	gncomp
	number of components for graphic purposes
long	intordb
	order of integration of edge load
long	intordmm
	order of integration of mass matrix
long **	intordsm
	array of orders of integration of stiffness matrix
long	napfun
	number of approximated functions on the element
long	nb
	number of blocks
long *	ncomp
	array containing numbers of components
long	ndofe
	number of DOFs on the element
long	ned
	number of edges on one element
long **	nip
	array of numbers of integration points in sets
long	nne
	number of nodes on one element
long	nned
	number of nodes on one edge
strastrestate	ssst
	stress/strain state
long	tncomp
	total number of components of stress and strain tensors
long	tnip
	total number of integration points on element

Detailed Description

class planeelemlt - defines plane triangular element with linear approximation functions

JK

Definition at line 17 of file plelemlt.h.

Constructor & Destructor Documentation

planeelemlt ( void )

Definition at line 16 of file plelemlt.cpp.

References cncomp, gncomp, intordb, intordmm, intordsm, napfun, nb, ncomp, ndofe, ned, nip, nne, nned, tncomp, and tnip.

~planeelemlt ( void )

Definition at line 72 of file plelemlt.cpp.

References cncomp, intordsm, nb, ncomp, and nip.

Member Function Documentation

double approx	(	vector &	areacoord,
		vector &	nodval
	)

function approximates function defined by nodal values area coordinates are used

Parameters:

	areacoord	- vector containing area coordinates
	nodval	- nodal values

JK

Definition at line 98 of file plelemlt.cpp.

References f, and scprd().

Referenced by compute_error(), error(), planeelemqt::give_sig_roof(), interpolate(), intpointval(), ntdbr_vector(), and ntn_matrix().

double approx_nat	(	double	xi,
		double	eta,
		vector &	nodval
	)

function approximates function defined by nodal values natural coordinates are used

Parameters:

	xi,eta	- natural coordinates
	nodval	- nodal values

JK

Definition at line 114 of file plelemlt.cpp.

References f, and scprd().

Referenced by appval(), elem_integration(), inicipval(), ipcoord(), ipcoordblock(), ipvolume(), load_matrix(), mass_matrix(), and stiffness_matrix().

void appval	(	double	xi,
		double	eta,
		long	fi,
		long	nc,
		vector &	eps,
		double **	val
	)

function computes strains in arbitrary point on element

Parameters:

	xi,eta	- natural coordinates of the point
	eps	- array containing strains
	val	- array containing values on element

11.5.2002

Definition at line 612 of file plelemlt.cpp.

References allocv(), approx_nat(), destrv(), nne, and nodval().

void bf_matrix	(	matrix &	n,
		double	xi,
		double	eta
	)

function returns matrix of base function

Parameters:

	n	- matrix of approximation functions
	xi,eta	- natural coordinates

JK, 17.8.2001

Definition at line 136 of file plelemlt.cpp.

References vector::a, bf_lin_3_2d(), fillm(), and nne.

Referenced by load_matrix(), mass_matrix(), and nodeforces().

void compute_eigstress	(	long	lcid,
		long	eid,
		long	ri,
		long	ci
	)

function computes nonlocal correct stresses at integration points on element

Parameters:

	lcid	- number of load case
	eid	- element id
	ri,ci	- row and column indices

JK, 27.11.2006

Definition at line 1128 of file plelemlt.cpp.

References mechtop::elements, mechmat::giveeigstrain(), element::ipp, mechmat::matstiff(), Mm, Mt, mxv(), mechmat::storeeigstress(), and tncomp.

Referenced by eigstrain_forces().

double compute_error	(	long	eid,
		double &	e2,
		double &	u2,
		double &	sizel,
		vector *	rderfull,
		long	flags
	)

Function 1. computes "e2" - square of energy norm of error of solution at element e2 = integral{ (der_fine - der)T * D * (der_fine - der) } der_fine = recovered strains or stresses, values in nodes are defined by "rderfull" and interpolated by base functions over element der = strains/stresses obtained by FEM D_inv = inverse stiffness matrix of material 2. computes "u2" - square of energy norm of strain at element u2 = integral{ epsT * D * eps } eps = strain obtained by FEM D = stiffness matrix of material 3. computes area of element and returns 4. computes "sizel" (characteristic size of element)

Parameters:

	eid	- element id
	e2	- empty(returned) value;
	u2	- empty(returned) value;
	sizel	- empty(returned) value;
	rderfull	- 1Darray of strains/stresses in nodes; dimmension is gt->nn x ncomp

created 3.5.2002, Ladislav Svoboda, termit@cml.fsv.cvut.cz

Definition at line 1773 of file plelemlt.cpp.

References vector::a, approx(), mechtop::elements, fillv(), gauss_points_tr(), give_der_star(), mechtop::give_elemnodes(), mechtop::give_node_coord2d(), mechcrsec::give_thickness(), mechmat::givestrain(), mechmat::givestress(), invm(), element::ipp, mechmat::matstiff(), Mc, Mm, Mt, mxv(), mechtop::nn, nne, nodes, scprd(), subv(), tncomp, and vxmxv().

Referenced by adaptivity::compute_error().

void compute_nlstress	(	long	lcid,
		long	eid,
		long	ri,
		long	ci
	)

function computes correct stresses at integration points on element

Parameters:

	lcid	- number of load case
	eid	- element id
	ri,ci	- row and column indices

TKo, 7.2008

Definition at line 1043 of file plelemlt.cpp.

References mechmat::computenlstresses(), mechtop::elements, element::ipp, Mm, Mp, Mt, and probdesc::strcomp.

Referenced by elem_nlstresses(), and internal_forces().

void compute_nlstressincr	(	long	lcid,
		long	eid,
		long	ri,
		long	ci
	)

function computes correct stresses increment at integration points on element

Parameters:

	lcid	- number of load case
	eid	- element id
	ri,ci	- row and column indices

TKo, 7.2008

Definition at line 1107 of file plelemlt.cpp.

References mechmat::computenlstressesincr(), mechtop::elements, element::ipp, Mm, Mp, Mt, and probdesc::strcomp.

Referenced by incr_internal_forces().

void compute_nonloc_nlstress	(	long	lcid,
		long	eid,
		long	ri,
		long	ci
	)

function computes nonlocal correct stresses at integration points on element

Parameters:

	lcid	- number of load case
	eid	- element id
	ri,ci	- row and column indices

JK, 27.11.2006

Definition at line 1086 of file plelemlt.cpp.

References mechmat::compnonloc_nlstresses(), mechtop::elements, element::ipp, Mm, Mp, Mt, and probdesc::strcomp.

Referenced by nonloc_internal_forces().

void eigstrain_forces	(	long	lcid,
		long	eid,
		long	ri,
		long	ci,
		vector &	nfor,
		vector &	x,
		vector &	y
	)

function computes nodal forces caused by temperature changes

this function is used in plane stress/strain elements (function is called by function res_eigstrain_forces) and shell elements

Parameters:

	eid	- element id
	ri,ci	- row and column indices
	nfor	- array containing nodal forces
	x,y	- nodal coordinates

30.11.2002, JK

Definition at line 867 of file plelemlt.cpp.

References compute_eigstress(), probdesc::eigstrcomp, eigstress, elem_integration(), and Mp.

Referenced by res_eigstrain_forces().

void elchar	(	long	eid,
		double *&	spder,
		long	flags
	)

This function prepare array 'spder' for using in function `least_squarespr_default`. It allocates and fills up array 'spder' by derivatives(strain ro stress) in sampling points. For planeelemlt sampling points == main integration point == Gauss's point at the centroid of element.

Parameters:

	eid	- element id
	spder	- allocated array
	flags	- determines by which derivate is spder filled

created 3.5.2002, Ladislav Svoboda, termit@cml.fsv.cvut.cz

Definition at line 1858 of file plelemlt.cpp.

References matrix::a, vector::a, allocm(), allocv(), mechtop::elements, mechmat::givestrain(), mechmat::givestress(), element::ipp, matrix::m, mechmat::matstiff(), Mm, Mt, mxv(), matrix::n, vector::n, and tncomp.

void elem_integration	(	integratedquant	iq,
		long	lcid,
		long	eid,
		long	ri,
		long	ci,
		vector &	nv,
		vector &	x,
		vector &	y
	)

function integrates selected quantity over the finite element it results in nodal values

Parameters:

	iq	- type of integrated quantity (see alias.h)
	lcid	- number of load case
	eid	- element id
	ri,ci	- row and column indices
	nv	- nodal values
	x,y	- node coordinates

JK, 27.11.2006

Definition at line 1160 of file plelemlt.cpp.

References addv(), approx_nat(), cmulv(), cncomp, mechtop::elements, fillv(), geom_matrix(), mechcrsec::give_thickness(), mechmat::givequantity(), element::ipp, Mc, Mm, Mt, mtxv(), ndofe, nne, nodes, and tncomp.

Referenced by eigstrain_forces(), incr_internal_forces(), internal_forces(), and nonloc_internal_forces().

double error	(	long	eid,
		vector &	n,
		double &	a
	)

created 3.5.2002, Ladislav Svoboda, termit@cml.fsv.cvut.cz

Definition at line 1894 of file plelemlt.cpp.

References approx(), fillv(), mechtop::give_elemnodes(), mechtop::give_node_coord2d(), Mt, nne, nodes, and nodval().

void geom_matrix	(	matrix &	gm,
		vector &	x,
		vector &	y
	)

function assembles strain-displacement (geometric) matrix

Parameters:

	gm	- geometric matrix
	x,y	- node coordinates

JK, 17.8.2001

Definition at line 161 of file plelemlt.cpp.

References vector::a, fillm(), plsb(), and plsc().

Referenced by elem_integration(), planeelemqt::give_sig_roof(), ip_strains(), nod_strains_comp(), and stiffness_matrix().

void incr_internal_forces	(	long	lcid,
		long	eid,
		long	ri,
		long	ci,
		vector &	ifor,
		vector &	x,
		vector &	y
	)

function computes increments of internal forces

this function is used in plane stress/strain elements (function is called by function res_internal_forces) and shell elements

Parameters:

	lcid	- number of load case
	eid	- element id
	ri,ci	- row and column indices
	ifor	- vector of internal forces
	x,y	- node coordinates

JK, 27.11.2006

Definition at line 839 of file plelemlt.cpp.

References compute_nlstressincr(), elem_integration(), and stressincr.

Referenced by res_incr_internal_forces().

void inicipval	(	long	eid,
		long	ri,
		long	ci,
		matrix &	nodval,
		inictype *	ictn
	)

The function computes initial values of the given quantities at each integration point of the element from the nodal values given by the parameter nodval. Initial condition types must be the same for all nodes of the element.

Parameters:

	eid	- element id
	ri	- block row index
	ci	- block column index
	nodval	- nodal values of particular initial conditions. nodval[i][j] represents value of j-th initial condition at i-th node of the given element.
	ictn	- array of types of initial condition for each node of element. The type of initial condition determines which values are being specified in the node. (ictn[i] & inistrain) returns nonzero if nodal values of initial strains are specified (ictn[i] & inistress) returns nonzero if nodal values of initial stresses are specified (ictn[i] & iniother) returns nonzero if nodal values of initial values of eqother array are specified (ictn[i] & inicond) returns nonzero if nodal values of other initial conditions are specified

The function does not return anything.

Created by Tomas Koudelka 2004 Revised by Tomas Koudelka 03.2012

Definition at line 1534 of file plelemlt.cpp.

References vector::a, allocv(), approx_nat(), destrv(), mechtop::elements, intpoints::eqother, gauss_points_tr(), mechmat::ic, inicond, iniother, inistrain, inistress, intordsm, mechmat::ip, element::ipp, memset(), Mm, Mt, matrix::n, nb, intpoints::ncompeqother, intpoints::ncompstr, nne, print_err(), intpoints::strain, and intpoints::stress.

Referenced by mechbclc::inicipval().

void internal_forces	(	long	lcid,
		long	eid,
		long	ri,
		long	ci,
		vector &	ifor,
		vector &	x,
		vector &	y
	)

function computes internal forces

this function is used in plane stress/strain elements (function is called by function res_internal_forces) and shell elements

Parameters:

	lcid	- number of load case
	eid	- element id
	ri,ci	- row and column indices
	ifor	- vector of internal forces
	x,y	- node coordinates

JK, 27.11.2006

Definition at line 783 of file plelemlt.cpp.

References compute_nlstress(), elem_integration(), and locstress.

Referenced by res_internal_forces().

void intpointval	(	long	eid,
		vector &	nodval,
		vector &	ipval
	)

function interpolates the nodal values to the integration points on the element

Parameters:

eid

- element id

TKr, 05/06/2014

Definition at line 989 of file plelemlt.cpp.

References approx(), and fillv().

Referenced by elem_intpointval().

void ip_elast_stresses	(	long	lcid,
		long	eid,
		long	ri,
		long	ci
	)

function computes stresses at integration points of element stresses are computed from strains with the help of elastic stiffness

Parameters:

	lcid	- load case id
	eid	- element id
	ri	- row index
	ci	- column index

JK, 27.11.2006

Definition at line 667 of file plelemlt.cpp.

References mechtop::elements, mechmat::givestrain(), element::ipp, mechmat::matstiff(), Mm, Mt, mxv(), mechmat::storestress(), and tncomp.

void ip_strains	(	long	lcid,
		long	eid,
		long	ri,
		long	ci,
		vector &	x,
		vector &	y,
		vector &	r
	)

function computes strains at integration points of element

Parameters:

	lcid	- load case id
	eid	- element id
	ri	- row index
	ci	- column index
	x,y	- node coordinates
	r	- nodal displacements

JK, 10.5.2002

Definition at line 498 of file plelemlt.cpp.

References cncomp, mechtop::elements, geom_matrix(), element::ipp, Mm, Mt, mxv(), ncomp, ndofe, mechmat::storestrain(), and tncomp.

Referenced by res_ip_strains().

void ipcoord	(	long	eid,
		long	ipp,
		long	ri,
		long	ci,
		vector &	coord
	)

function returns coordinates of integration points

Parameters:

	eid	- element id
	ipp	- integration point pointer
	ri	- row index
	ci	- column index
	coord	- vector of coordinates

19.1.2002

Definition at line 1210 of file plelemlt.cpp.

References vector::a, approx_nat(), mechtop::elements, gauss_points_tr(), mechtop::give_node_coord2d(), intordsm, element::ipp, Mt, and nne.

Referenced by ipcoord().

void ipcoordblock	(	long	eid,
		long	ri,
		long	ci,
		double **	coord
	)

function returns coordinates of integration points

Parameters:

	eid	- element id
	ri	- row index
	ci	- column index
	coord	- array of coordinates

19.1.2002

Definition at line 1240 of file plelemlt.cpp.

References vector::a, approx_nat(), gauss_points_tr(), mechtop::give_node_coord2d(), intordsm, Mt, and nne.

void ipvolume	(	long	eid,
		long	ri,
		long	ci
	)

function computes volume appropriate to integration point

2.3.2004, JK 07.2008 TKo - multiplictaion by thickness added

Definition at line 1649 of file plelemlt.cpp.

References approx_nat(), mechtop::elements, mechtop::give_elemnodes(), mechtop::give_node_coord2d(), mechcrsec::give_thickness(), element::ipp, jac_2d(), Mc, Mm, Mt, nne, nodes, and mechmat::storeipvol().

Referenced by ipvolume().

void load_matrix	(	long	eid,
		matrix &	lm,
		vector &	x,
		vector &	y
	)

function computes load matrix of the plane stress triangular finite element with linear approximation functions load vector is obtained after premultiplying load matrix by nodal load values

Parameters:

	eid	- number of element
	lm	- load matrix
	x,y	- node coordinates

JK, 25.7.2001

Definition at line 387 of file plelemlt.cpp.

References matrix::a, approx_nat(), bf_matrix(), fillm(), gauss_points_tr(), mechtop::give_elemnodes(), mechcrsec::give_thickness(), intordmm, matrix::m, Mc, Mt, matrix::n, napfun, ndofe, nne, nnj(), and nodes.

Referenced by res_load_matrix().

void local_values	(	long	lcid,
		long	eid,
		long	ri,
		long	ci
	)

function computes local values which will be used for averageing in nonlocal models at integration points. Mp->nonlocphase have to be 1.

Parameters:

	lcid	- number of load case
	eid	- element id
	ri,ci	- row and column indices

TKo, 7.2008

Definition at line 1065 of file plelemlt.cpp.

References mechmat::computenlstresses(), mechtop::elements, element::ipp, Mm, Mp, Mt, and probdesc::strcomp.

Referenced by elem_local_values().

void locglob_nodeval	(	long	edid,
		vector &	nv,
		vector &	tnv,
		vector &	x,
		vector &	y
	)

function transforms nodal values from the local system to the global system

Parameters:

	edid	- edge id
	nv	- array of nodal values
	tnv	- array of transformed nodal values
	x,y	- arrays of nodal coordinates

JK, 5.4.2011

Definition at line 1384 of file plelemlt.cpp.

References vector::a, matrix::a, mxv(), and print_err().

Referenced by nodeforces().

void mass_matrix	(	long	eid,
		matrix &	mm,
		vector &	x,
		vector &	y
	)

function computes mass matrix of the plane stress triangular finite element with linear approximation functions

Parameters:

	eid	- number of element
	mm	- mass matrix
	x,y	- node coordinates

JK, 17.6.2001

Definition at line 308 of file plelemlt.cpp.

References matrix::a, approx_nat(), bf_matrix(), fillm(), gauss_points_tr(), mechcrsec::give_density(), mechtop::give_elemnodes(), mechcrsec::give_thickness(), intordmm, matrix::m, Mc, Mt, matrix::n, napfun, ndofe, nne, nnj(), and nodes.

Referenced by res_mass_matrix().

void nod_others	(	long	eid,
		long	ri,
		long	ci
	)

Definition at line 730 of file plelemlt.cpp.

References allocv(), destrv(), mechtop::elements, intpoints::eqother, mechtop::give_elemnodes(), mechmat::ip, element::ipp, matassem_lsm(), Mm, Mp, Mt, ncomp, intpoints::ncompother, nne, nodcoord_planelt(), nodes, nullv(), other, mechtop::other_nodal_values(), rhsassem_lsm(), solve_lsm(), and probdesc::zero.

Referenced by compute_nodeothers().

void nod_strains_comp	(	long	lcid,
		long	eid
	)

function computes nodal strains directly

Parameters:

	lcid	- load case id
	eid	- element id

JK, 25.9.2004

Definition at line 553 of file plelemlt.cpp.

References allocm(), allocv(), copyv(), destrm(), destrv(), eldispl(), geom_matrix(), mechtop::give_elemnodes(), mechtop::give_node_coord2d(), lgvectortransf(), mechtop::locsystems(), Mt, mxv(), ndofe, nne, mechtop::nodes, nodes, node::storestrain(), tncomp, and transf_matrix().

void nod_strains_ip	(	long	lcid,
		long	eid,
		long	ri,
		long	ci
	)

function computes strains at nodes of element

Parameters:

	lcid	- load case id
	eid	- element id
	ri	- row index
	ci	- column index

JK, 10.5.2002

Definition at line 521 of file plelemlt.cpp.

References mechtop::elements, mechtop::give_elemnodes(), mechmat::givestrain(), gncomp, intordsm, element::ipp, Mm, Mt, nne, nod, mechtop::nodes, nodip_planelt(), and node::storestrain().

Referenced by compute_nodestrains().

void nod_stresses_ip	(	long	lcid,
		long	eid,
		long	ri,
		long	ci
	)

function computes stresses at nodes of element

Parameters:

	lcid	- load case id
	eid	- element id
	ri,ci	- row and column indices

JK, 10.5.2002

Definition at line 697 of file plelemlt.cpp.

References mechtop::elements, mechtop::give_elemnodes(), mechmat::givestress(), gncomp, intordsm, element::ipp, Mm, Mt, nne, nod, mechtop::nodes, nodip_planelt(), and node::storestress().

Referenced by compute_nodestresses().

void nodeforces	(	long	eid,
		long *	le,
		double *	nv,
		vector &	nf
	)

function computes nodal forces generated by continuous edge load

Parameters:

	eid	- element id
	le	- loaded edge indicator
	nv	- array of nodal values
	nf	- vector of nodal forces

JK, 5.4.2011

Definition at line 1264 of file plelemlt.cpp.

References matrix::a, addv(), bf_matrix(), fillm(), fillv(), gauss_points(), mechtop::give_node_coord2d(), intordb, jac1d_2d(), locglob_nodeval(), Mt, mxv(), napfun, ndofe, nne, and nnj().

Referenced by loadel::edgeload().

void nonloc_internal_forces	(	long	lcid,
		long	eid,
		long	ri,
		long	ci,
		vector &	ifor,
		vector &	x,
		vector &	y
	)

function computes internal forces for nonlocal models

this function is used in plane stress/strain elements (function is called by function res_nonloc_internal_forces) and shell elements

Parameters:

	lcid	- number of load case
	eid	- element id
	ri,ci	- row and column indices
	ifor	- vector of internal forces
	x,y	- node coordinates

JK, 27.11.2006

Definition at line 812 of file plelemlt.cpp.

References compute_nonloc_nlstress(), elem_integration(), and nonlocstress.

Referenced by res_nonloc_internal_forces().

void ntdbr_vector	(	long	eid,
		vector &	ntdbr
	)

Function integrates function "NT*D*B*r" (= NT*Stress) over whole element. N is matrix of basic functions. !!! Values in 'ntdbr' are stored unusually. Not after this manner {(val[0]; ... ;val[tncomp])[0] ; ... ; (val[0]; ... ;val[tncomp])[nne]} but after this manner {(val[0]; ... ;val[nne])[0] ; ... ; (val[0]; ... ;val[nne])[ntncomp]}

Parameters:

	eid	- element id
	ntdbr	- empty(returned) array, dimension is tncomp*nne

created 3.5.2002, Ladislav Svoboda, termit@cml.fsv.cvut.cz

Definition at line 1687 of file plelemlt.cpp.

References approx(), mechtop::elements, fillv(), mechtop::give_elemnodes(), mechtop::give_node_coord2d(), mechcrsec::give_thickness(), mechmat::givestrain(), element::ipp, mechmat::matstiff(), Mc, Mm, Mt, mxv(), nne, nodes, and tncomp.

Referenced by z2_smoothing::compute_ntdbr().

void ntn_matrix	(	long	eid,
		matrix &	ntn
	)

Function integrates function "NT*N" over whole element. N is matrix of basic functions. !!! Matrix N is composed of three same blocks, it is computed only one third.

Parameters:

	eid	- element id
	ntn	- empty(returned) 2Darray, dimension is nne x nne

created 3.5.2002, Ladislav Svoboda, termit@cml.fsv.cvut.cz

Definition at line 1728 of file plelemlt.cpp.

References approx(), fillm(), fillv(), mechtop::give_elemnodes(), mechtop::give_node_coord2d(), mechcrsec::give_thickness(), Mc, Mt, nne, and nodes.

Referenced by z2_smoothing::compute_ainv(), and z2_smoothing::compute_ntn_sky().

void res_eigstrain_forces	(	long	lcid,
		long	eid,
		vector &	nfor
	)

function computes nodal forces caused by eigenstrains eigenstrain expresses e.g. temperature strains

Parameters:

	lcid	- load case id
	eid	- element id
	nfor	- array containing nodal forces

JK, 27.11.2006

Definition at line 1009 of file plelemlt.cpp.

References copyv(), eigstrain_forces(), mechtop::give_elemnodes(), mechtop::give_node_coord2d(), glvectortransf(), mechtop::locsystems(), Mt, ndofe, nne, nodes, and transf_matrix().

Referenced by elem_eigstrain_forces().

void res_incr_internal_forces	(	long	lcid,
		long	eid,
		vector &	ifor
	)

function computes resulting increments of internal forces

Parameters:

	lcid	- load case id
	eid	- element id
	ifor	- internal forces

TKo 7.2008

Definition at line 959 of file plelemlt.cpp.

References copyv(), mechtop::give_elemnodes(), mechtop::give_node_coord2d(), glvectortransf(), incr_internal_forces(), mechtop::locsystems(), Mt, ndofe, nne, nodes, and transf_matrix().

Referenced by elem_incr_internal_forces().

void res_internal_forces	(	long	lcid,
		long	eid,
		vector &	ifor
	)

function computes internal forces

Parameters:

	lcid	- load case id
	eid	- element id
	ifor	- internal forces

JK, 27.11.2006

Definition at line 890 of file plelemlt.cpp.

References copyv(), mechtop::give_elemnodes(), mechtop::give_node_coord2d(), glvectortransf(), internal_forces(), mechtop::locsystems(), Mt, ndofe, nne, nodes, and transf_matrix().

Referenced by elem_internal_forces().

void res_ip_strains	(	long	lcid,
		long	eid
	)

function computes strains at integration points

Parameters:

	lcid	- load case id
	eid	- element id

JK

Definition at line 459 of file plelemlt.cpp.

References vector::a, allocm(), allocv(), copyv(), destrm(), destrv(), eldispl(), mechtop::give_elemnodes(), mechtop::give_node_coord2d(), ip_strains(), lgvectortransf(), mechtop::locsystems(), Mt, ndofe, nne, nodes, and transf_matrix().

Referenced by compute_ipstrains().

void res_ip_stresses	(	long	lcid,
		long	eid
	)

function computes stresses at integration points of element stresses are computed by material models

Parameters:

	lcid	- load case id
	eid	- element id

JK, 10.5.2002

Definition at line 644 of file plelemlt.cpp.

References mechmat::computenlstresses(), mechtop::elements, element::ipp, Mm, Mp, Mt, and probdesc::strcomp.

Referenced by compute_ipstresses().

void res_load_matrix	(	long	eid,
		matrix &	lm
	)

function computes load matrix of the plane stress triangular finite element with linear approximation functions load vector is obtained after premultiplying load matrix by nodal load values

Parameters: