fedoo.constitutivelaw.BeamCircular

class BeamCircular(material, r, k=0.9, name='', *, output_points=None, n_points=32)

__init__(material, r, k=0.9, name='', *, output_points=None, n_points=32)

Properties for a beam with circular cross section.

Parameters:

• material (ConstitutiveLaw name (str) or ConstitutiveLaw object) – Material Constitutive Law used to get the elastic modulus and shear modulus. The ConstitutiveLaw object should have attributes E and G that gives the young and the shear modulus (as fedoo.constitutivelaw.ElasticIsotrop).

• r (scalar or arrays of gauss point values) – Radius of the beam section.

• k (scalar or arrays of gauss point values, default: 0.9) – Shear shape factor. If k=0 the beam use the bernoulli hypothesis. Default is set to 0.9 (usual value for cylindrical beam).

• name (str) – Name of the WeakForm.

Notes

The current beam formulation supports isotropic linear elastic materials only. Material orientations are ignored; the beam cross-section orientation is defined by the assembly element frame.

Methods

BeamCircular.compute_linear_density()
BeamCircular.compute_rotary_density()	Mass moments per unit length, using polar area inertia about x.
BeamCircular.from_section_description(...)	Restore a recovery-only section without a material/solver registry.
BeamCircular.get_all()	Return a dict with all the known ConstitutiveLaw (with a name).
BeamCircular.get_beam_rigidity()
BeamCircular.get_local_frame(assembly)	Current local basis rows in global coordinates, in Gauss-point order.
BeamCircular.get_strain(assembly[, position])	Recover local kinematic section strain without elastic properties.
BeamCircular.get_stress(assembly[, position])	Recover local stress at normalized points, defaulting to output_points.
BeamCircular.initialize(assembly, pb)	Initialize the constitutive law for the current problem.
BeamCircular.normalize_section_coordinates(...)	Inverse centroid-preserving map, including heterogeneous dimensions.
BeamCircular.normalized_output_points([n_points])	Sampling coordinates; varying pipe radii may yield (points, 2, GP).
BeamCircular.normalized_section_coordinates(...)	Map normalized (y,z) toward each bounding face about the centroid.
BeamCircular.reset()	Reset the constitutive law.
BeamCircular.sample_points([n_points])	Normalized section points; default to section-mesh nodes.
BeamCircular.scale_section_points(points)	Yield physical points, broadcasting varying dimensions along beams.
BeamCircular.section_bounds()	Physical bounding-box bounds relative to the section centroid.
BeamCircular.section_coordinates(position)	Resolve normalized coordinates; scalar positions are ambiguous.
BeamCircular.section_description()	Portable section schema; arrays retain their beam data association.
BeamCircular.section_mesh([n_points])	Mesh in normalized centroid-relative (y,z) coordinates.
BeamCircular.set_local_frame(local_frame[, ...])	Define the material coordinate frame.
BeamCircular.set_start(assembly, pb)	Begin a new time iteration.
BeamCircular.shear_stress(force_y, force_z, y, z)	Jourawski chord-average approximation, not a full 2D stress field.
BeamCircular.to_start(assembly, pb)	Restart the current time iteration.
BeamCircular.torsion_strain(twist, y, z)	Circular-section torsion kinematics, independent of material stiffness.
BeamCircular.torsion_stress(torque, y, z)	Circular-section torsion, or no torsion for generic sections.
BeamCircular.update(assembly, pb)	Update the constitutive law for the current problem state.

BeamCircular.linear_density	Mass per unit beam length.
BeamCircular.n_points	Approximate section sampling budget, an integer of at least eight.
BeamCircular.name	Name of the constitutive law.
BeamCircular.output_points	Configured normalized output coordinates, or None without sampling.
BeamCircular.recovery
BeamCircular.reference_bounds
BeamCircular.rotary_density	Mass moments of inertia per unit beam length.
BeamCircular.section_dimensions
BeamCircular.section_registry
BeamCircular.section_type
BeamCircular.r	Radius of the beam section.
BeamCircular.A	Section surface
BeamCircular.Jx	Torsion constant
BeamCircular.Iyy	Second moment of area with respect to y
BeamCircular.Izz	Second moment of area with respect to z
BeamCircular.k	Shear shape factor.
BeamCircular.is_initialized	Tag set to True once the law is intialized.