metalattice.material.Material#

class metalattice.material.Material(name: str = 'Steel', type: str = 'Cauchy', prop: dict = {'E': 200000.0, 'nu': 0.3, 'rho': 7.7e-09})[source]#

The base material or the homogenized continuum of a lattice.

A dictionary of properties is passed to the class and the properties are set as attributes of the class.

Variables:

name (str) – name of the material
type (str) – type of material
prop (dict) – dictionary of properties
... (Any) – additional properties from the dictionary prop

Parameters:

name (str) – name of the material
type (str) – type of material
prop (dict) – dictionary of properties

Examples

A classical Cauchy material could be defined as follows:

>>> from metalattice.material import Material
>>> steel = Material(
    name="Steel",
    type="Cauchy",
    prop={
        "E": 200e3,
        "nu": 0.3,
        "rho": 7.7e-9,
    }
)
>>> steel.E
200000.0
>>> steel.nu
0.3
>>> steel.G
76923.07692307692
>>> steel.rho
7.7e-09

A micropolar material can be defined as follows:

>>> import numpy as np
>>> from metalattice.material import Material
>>> meta = Material(
    name="Lattice Metamaterial",
    type="Cosserat",
    prop={
        "D": np.zeros((18, 18)),
    }
)
>>> meta.D
array([[0., 0., 0., ..., 0., 0., 0.],
       [0., 0., 0., ..., 0., 0., 0.],
       [0., 0., 0., ..., 0., 0., 0.],
       ...,
       [0., 0., 0., ..., 0., 0., 0.],
       [0., 0., 0., ..., 0., 0., 0.],
       [0., 0., 0., ..., 0., 0., 0.]])