mesh

gripyth.meshing.mesh

Mesh class.

CLASS	DESCRIPTION
Geometry	Describes the geometry of the physical objects being modeled.
Mesh	Describes the mesh discretization of the geometry.

Geometry dataclass

Describes the geometry of the physical objects being modeled.

At this point, the implementation is restricted to 2d rectangular shapes. This may be generalized in the future.

ATTRIBUTE	DESCRIPTION
B	width/breadth of the plate TYPE: float
L	length of the plate TYPE: float
t	out-of-plane thickness of the plate TYPE: float

B instance-attribute

B: float

width/breadth of the plate

L instance-attribute

L: float

length of the plate

t instance-attribute

t: float

out-of-plane thickness of the plate

Mesh dataclass

Describes the mesh discretization of the geometry.

METHOD	DESCRIPTION
__init__	Create a new mesh from nodes and elements.

ATTRIBUTE	DESCRIPTION
dim	dimension of the mesh geometry TYPE: int
elem_sets	named sets of element indices TYPE: dict[str, NDArray[int32]]
element_materials	material type associated with each element TYPE: NDArray[int32]
elements	connectivity matrix of the elements: maps element index to its nodes TYPE: NDArray[int32]
n_elements	total number of mesh elements TYPE: int
n_nodes	total number of mesh nodes TYPE: int
n_voigt	size of tensors in Voigt notation TYPE: int
node_sets	named sets of node indices TYPE: dict[str, NDArray[int32]]
nodes	node coordinates: array of [x, y, …] for each node index TYPE: NDArray[float64]
nodes_per_elem	number of nodes per element TYPE: int

dim property

dim: int

dimension of the mesh geometry

elem_sets instance-attribute

elem_sets: dict[str, NDArray[int32]] = elem_sets or {}

named sets of element indices

element_materials instance-attribute

element_materials: NDArray[int32] = (
    element_materials or zeros(len(elements), dtype=int32)
)

material type associated with each element

elements instance-attribute

elements: NDArray[int32] = elements

connectivity matrix of the elements: maps element index to its nodes

n_elements property

n_elements: int

total number of mesh elements

n_nodes property

n_nodes: int

total number of mesh nodes

n_voigt property

n_voigt: int

size of tensors in Voigt notation

node_sets instance-attribute

node_sets: dict[str, NDArray[int32]] = node_sets or {}

named sets of node indices

nodes instance-attribute

nodes: NDArray[float64] = nodes

node coordinates: array of [x, y, …] for each node index

nodes_per_elem property

nodes_per_elem: int

number of nodes per element

__init__

__init__(
    nodes: NDArray[float64],
    elements: NDArray[int32],
    node_sets: dict[str, NDArray[int32]] | None = None,
    elem_sets: dict[str, NDArray[int32]] | None = None,
    element_materials: NDArray[int32] | None = None,
)

Create a new mesh from nodes and elements.