2D Elements

2D Elements

Tr1ht element

Implements the linear triangular finite element for heat transfer problems. Each node has 1 degree of freedom. The cross section thickness property is requested form cross section model. The node numbering is anti-clockwise. The element features are summarized in Table 54.

Fig. 23 Tr1ht element - node and side numbering.

Table 54 Tr1ht element summary

Keyword	Tr1ht
Description	triangular finite element with linear approximation for heat transfer problems
Parameters	NIP: allows to change the default number of integration point used.
Unknowns	Single dof (T_f - temperature) is required in each node.
Approximation	Linear approximation of temperature.
Integration	Integration using one point gauss integration formula.
Loads	Body loads are supported. Boundary loads are supported and are computed using numerical integration. The side numbering is following. Each i-th element side begins in i-th element node and ends on next element node (i+1-th node or 1-st node, in the case of side number 3). The local positive edge x-axis coincides with side direction, the positive local edge y-axis is rotated 90 degrees anti-clockwise (see fig. (Tr1ht element - node and side numbering.)).
Features
CS properties
Status
Tests/Examples	tm/hydratingConcreteMat04.in, tm/hydratingConcreteMat03.in, tm/tmpatch45-1.in, tm/hydratingConcreteMat01.in, tm/hydratingConcreteMat06.in, tm/hydratingConcreteMat02.in, tm/hydratingConcreteMat07.in, tm/hydratingConcreteMat05.in, tm/tmpatch43-1.in, tm/tmpatch43-3.in (and 1 more)

Tr1mt element

Isoparametric triangular finite element with linear approximation of moisture. Other features are the same as for Tr1ht in Section Tr1ht element.

Tr1hmt element

Isoparametric triangular finite element with linear approximations of temperature and moisture. Other features are the same as for Tr1ht in Section Tr1ht element.

Tests/Examples: tests/regression/tm/HeMoKunzel_1.in

Quad1ht element

Represents isoparametric four-node quadrilateral finite element for heat transfer problems. Each node has 1 degree of freedom. Problem should be defined in x,y plane. The cross section thickness property is requested form cross section model. The nodes should be numbered anti-clockwise (positive rotation around z-axis). The element features are summarized in Table 55.

Fig. 24 Quad1ht element. Node numbering, Side numbering and definition of local edge c.s.(a).

Table 55 Quad1ht element summary

Keyword	Quad1ht
Description	Isoparametric four-node quadrilateral linear interpolation element for heat transfer problems
Specific parameters	[NIP (in)]
Parameters	NIP: allows to change the default number of integration point used.
Unknowns	Single dof (T_f - temperature) is required in each node.
Approximation	Linear approximation of temperature.
Integration	Integration using gauss integration formula in 4 (the default), 9, or 16 integration points. The default number of integration point used can be overloaded using NIP parameter.
Loads	Body loads are supported. Boundary loads are supported and computed using numerical integration. The side numbering is following. Each i-th element side begins in i-th element node and ends on next element node (i+1-th node or 1-st node, in the case of side number 4). The local positive edge x-axis coincides with side direction, the positive local edge y-axis is rotated 90 degrees anti-clockwise (see fig. (Quad1ht element. Node numbering, Side numbering and definition of local edge c.s.(a).)).
Features
CS properties
Status
Tests/Examples	tmcemhyd/cemhyd01.in, tm/tmpatch02.in, tm/tmpatch01.in, tm/tmpatch06.in, tm/tmpatch11.in, tm/tmpatch11dtf.in, tm/tmpatch04.in, tm/tmpatch05.in, tm/tmpatch17.in, tm/tmquad12.in (and 6 more)

Quad1mt element

Isoparametric four-node quadrilateral finite element. Other features are the same as for Quad1ht in Section Quad1ht element.

Tests/Examples: tests/regression/tm/nlisomoisture01.in, tests/regression/tm/nlisomoisture02.in

Quad1hmt element

Represents isoparametric four-node quadrilateral finite element for heat and mass (one constituent) transport problems. Two dofs (T_f - temperature and C_1 - concentration) are required in each node. Linear approximation of temperature and mass concentration. Other features are similar to Quad1 element, see section Quad1ht element.

QQuad1ht element

Represents isoparametric quadratic eight-node quadrilateral finite element for heat transfer problems. Each node has 1 degree of freedom. Problem should be defined in x,y plane. The cross section thickness property is requested form the cross section model. The nodes should be numbered anti-clockwise (positive rotation around z-axis), see fig. QPlaneStress2d element - node numbering.. The element has the same features as in Table Table 55.

Tests/Examples: tests/regression/tm/qquad01.in

QQuad1mt element

Element for mass transport problems, see the parent element in sec. QQuad1ht element.

QQuad1hmt element

Element for heat and mass transport problems, see the parent element in sec. QQuad1ht element.