Element class

A class for supporting various finite element types.

Members

Members	Description	Type	Shape
dim	Elemental dimension	int32
nodes	Elemental nodes	ti.field(f64)	(len(nodes), dim)
ID	Elemental ID (Default: -1)	int32
E	Young's modulus	f32
nu	Possion's ratio	f32

Triangle Class (Element)

A class for construct a 2D triangular element.

Members

Members	Description	Type	Shape
dim	Elemental dimension	int32
nodes	Elemental nodes	ti.field(f64)	(3, 2)
nd_len	Number of the nodes	int32
ndof	Number of degree-of-freedom	int32
ID	Elemental ID (Default: -1)	int32
E	Young's modulus	f32
nu	Possion's ratio	f32
volume	Elemental volume (area)	f64
type_abaqus	Elemental type in Abaqus	string
Ke	Elemental stiffness matrix	ti.field(f64)	(6, 6)

Functions

Functions	Description	Return
calc_area()	Calculate triangular areas	f64
calc_Ke()	Calculate elemental stiffness matrix	None

Example

# ===== Triangle =====
tri_0 = Node(0., 0., 0.)
tri_1 = Node(1., 0., 0.)
tri_2 = Node(1., 1., 0.)
tri_ele = Triangle([tri_0, tri_1, tri_2])
tri_ele.calc_Ke()

Quadrangle Class (Element)

A class for construct a 2D quadrangle element.

Members

Members	Description	Type	Shape
dim	Elemental dimension	int32
nodes	Elemental nodes	ti.field(f64)	(4, 2)
nd_len	Number of the nodes	int32
ndof	Number of degree-of-freedom	int32
ID	Elemental ID (Default: -1)	int32
E	Young's modulus	f32
nu	Possion's ratio	f32
type_abaqus	Elemental type in Abaqus	string
Ke	Elemental stiffness matrix	ti.field(f64)	(8, 8)
intv	Legendre-Gauss Quadrature	integration

Functions

Functions	Description	Return
calc_Ke()	Calculate elemental stiffness matrix	None

Examples

# ===== Quadrangle =====
quad_0 = Node(0., 0., 0.)
quad_1 = Node(1., 0., 0.)
quad_2 = Node(1., 1., 0.)
quad_3 = Node(1., 2., 0.)
quad_ele = Quadrangle([quad_0,quad_1,quad_2,quad_3])
quad_ele.calc_Ke()

Tetrahedron Class (Element)

A class for construct a 3D tetrahedral element.

Members

Members	Description	Type	Shape
dim	Elemental dimension	int32
nodes	Elemental nodes	ti.field(f64)	(4, 3)
nd_len	Number of the nodes	int32
ndof	Number of degree-of-freedom	int32
ID	Elemental ID (Default: -1)	int32
E	Young's modulus	f32
nu	Possion's ratio	f32
volume	Elemental volume (area)	f64
type_abaqus	Elemental type in Abaqus	string
Ke	Elemental stiffness matrix	ti.field(f64)	(12, 12)

Functions

Functions	Description	Return
calc_volume()	Calculate tetrahedral volume	f64
calc_Ke()	Calculate elemental stiffness matrix	None

Examples

# ===== Tetrahedron =====
tet_0 = Node(0., 0., 0.)
tet_1 = Node(1., 0., 0.)
tet_2 = Node(1., 1., 0.)
tet_3 = Node(1., 1., 1.)
tet_ele = Tetrahedron([tet_0,tet_1,tet_2,tet_3])
tet_ele.calc_Ke()

Hexahedron Class (Element)

A class for construct a 3D hexahedral element.

Members

Members	Description	Type	Shape
dim	Elemental dimension	int32
nodes	Elemental nodes	ti.field(f64)	(8, 3)
nd_len	Number of the nodes	int32
ndof	Number of degree-of-freedom	int32
ID	Elemental ID (Default: -1)	int32
E	Young's modulus	f32
nu	Possion's ratio	f32
type_abaqus	Elemental type in Abaqus	string
Ke	Elemental stiffness matrix	ti.field(f64)	(24, 24)
intv	Legendre-Gauss Quadrature	integration

Functions

Functions	Description	Return
calc_Ke()	Calculate elemental stiffness matrix	None

Examples

# ===== Hexahedron =====
hex_0 = Node(0.,0.,0.)
hex_1 = Node(1.,0.,0.)
hex_2 = Node(1.,1.,0.)
hex_3 = Node(0.,1.,0.)
hex_4 = Node(0.,0.,1.)
hex_5 = Node(1.,0.,1.)
hex_6 = Node(1.,1.,1.)
hex_7 = Node(0.,1.,1.)
hex_ele = Hexahedron([hex_0,hex_1,hex_2,hex_3,hex_4,hex_5,hex_6,hex_7])
hex_ele.calc_Ke()