hertzmindlin

HertzMindlin

Bases: AnisotropicProperty

CN class-attribute instance-attribute

CN: float | None = None

Coordinate number-dependent number of contacts per unit volume.

CN0 class-attribute instance-attribute

CN0: float | None = None

Constant number at isotropic stress state.

Gg class-attribute instance-attribute

Gg: float | None = None

Particle shear modulus.

anisotropic property

anisotropic: bool

car class-attribute instance-attribute

car: float = 1.0

Effect of contact number decrease on shear stiffness in different directions.

car_anisotropy_major_axes class-attribute instance-attribute

car_anisotropy_major_axes: int = 3

Major axes of the fabric tensor for the anisotropy of car.

car_anisotropy_type class-attribute instance-attribute

car_anisotropy_type: AvailableFabricTypes = 'general-cross-anisotropic'

Type of fabric tensor for the anisotropy of car.

cn class-attribute instance-attribute

cn: float | None = None

Coefficient for the fabric-dependent normal stiffness.

cr class-attribute instance-attribute

cr: float | None = None

Coefficient for the fabric-dependent stiffness ratio.

force_dependent_stiffness class-attribute instance-attribute

force_dependent_stiffness: bool = False

Use force dependent stiffness if kn and (Gg, nug, sigc) are all provided.

isotropic property

isotropic: bool

kn class-attribute instance-attribute

kn: float = 80.0

Normal stiffness.

knf property

knf: float | None

Force-dependent normal stiffness.

krr class-attribute instance-attribute

krr: float = 0.4

Ratio between normal and shear stiffness.

krrf property

krrf: float | None

Force-dependent stiffness ratio.

model class-attribute

model: Model

Micromechanical model.

n class-attribute instance-attribute

n: float = 1 / 3

Exponent for the normal stiffness.

nr class-attribute instance-attribute

nr: float | None = None

Exponent for the shear stiffness, if None, it is set to n.

nug class-attribute instance-attribute

nug: float | None = None

Particle Poisson's ratio.

radius class-attribute instance-attribute

radius: float = 0.001

Particle radius.

sigc class-attribute instance-attribute

sigc: float | None = None

Consolidation stress.

ensureContactNumberFabric

ensureContactNumberFabric()

Ensure the contact number fabric is added in fabrics.

modifiedNormalStiffness

modifiedNormalStiffness(
    kn: float | ndarray, fn: float | ndarray, F: ndarray | None = None
) -> float | ndarray

Modified normal stiffness.

modifiedShearStiffness

modifiedShearStiffness(
    kn: float | ndarray,
    kr: float | ndarray,
    fn: float | ndarray,
    F: ndarray | None = None,
) -> float | ndarray

Modified shear stiffness.

normalForce

normalForce(sigc: float) -> float

Normal force for isotropic stress.

normalStiffness

normalStiffness(
    fn: float | ndarray, F: ndarray | None = None
) -> float | ndarray

Contact normal stiffness

PARAMETER	DESCRIPTION
fn	Contact normal force TYPE: float | ndarray
F	Fabric tensor with shape (3, 3) TYPE: ndarray DEFAULT: None

shearStiffness

shearStiffness(
    fn: float | ndarray, F: ndarray | None = None
) -> float | ndarray

Contact shear stiffness

PARAMETER	DESCRIPTION
fn	Contact normal force TYPE: float | ndarray
F	Fabric tensor with shape (3, 3) TYPE: ndarray DEFAULT: None

stiffnessRatio

stiffnessRatio(
    fn: float | ndarray, F: ndarray | None = None
) -> float | ndarray

Ratio between normal and shear stiffness.

PARAMETER	DESCRIPTION
fn	Contact normal force TYPE: float | ndarray
F	Fabric tensor with shape (3, 3) TYPE: ndarray DEFAULT: None