utils

utils#

axi_grad(r, v)[source]#
Axisymmetric gradient in cylindrical coordinate \((\boldsymbol{e}_r, \boldsymbol{e}_{\theta}, \boldsymbol{e}_z)\) for:

  • a scalar \(v(r, z)\)

  • a 2d-vector \((v_r(r,z), v_z(r, z))\)

  • a 3d-vector \((v_r(r,z), 0, v_z(r, z))\)

deformation_gradient(g, dim=3)[source]#

Return deformation gradient \(\boldsymbol{F}\) components in vector form.

gradient(g)[source]#

Return displacement gradient components in vector form.

nonsymmetric_tensor_to_vector(T, T22=0)[source]#

Return nonsymmetric tensor components in vector form notation following MFront conventions T22 can be specified when T is only (2,2)

project(original_field, target_field: Function, dx: Measure = Measure('cell', subdomain_id='everywhere'), bcs=[], smooth=None, entity_maps=None)[source]#

Performs a manual projection of an original function onto a target space.

Parameters:

  • original_field (fem.Function/fem.Expression) – Original function/expression to project.

  • target_field (fem.Function) – Receiver function.

  • dx (ufl.Measure, optional) – Volume measure used for projection, by default ufl.dx

  • bcs (list, optional) – Boundary conditions, by default []

  • smooth (float, optional) – Performs a smoothed projection with a Helmholtz filter of size smooth

  • entity_maps (dict) – Entity maps in case of mixed subdomains

symmetric_gradient(g)[source]#

Return symmetric gradient components in vector form.

symmetric_tensor_to_vector(T, T22=0)[source]#

Return symmetric tensor components in vector form notation following MFront conventions T22 can be specified when T is only (2,2)

vector_to_tensor(T)[source]#

Return vector following MFront conventions as a tensor

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