Module mechanics

Source
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Mechanics library.

Enums§

DeformationError
Possible errors for deformation gradients.

Traits§

Deformation
Methods for deformation gradients.

Type Aliases§

CauchyRateTangentStiffness
The rate tangent stiffness associated with the Cauchy stress $\boldsymbol{\mathcal{V}}$.
CauchyStress
The Cauchy stress $\boldsymbol{\sigma}$.
CauchyStresses
A list of Cauchy stresses.
CauchyTangentStiffness
The tangent stiffness associated with the Cauchy stress $\boldsymbol{\mathcal{T}}$.
Coordinates
A list of coordinates.
CurrentCoordinate
A coordinate in the current configuration.
CurrentCoordinates
A list of coordinates in the current configuration.
CurrentVelocity
A velocity in the current configuration.
DeformationGradient
The deformation gradient $\mathbf{F}$.
DeformationGradientElastic
The elastic deformation gradient $\mathbf{F}_\mathrm{e}$.
DeformationGradientGeneral
A general deformation gradient.
DeformationGradientList
A list of deformation gradients.
DeformationGradientPlastic
The plastic deformation gradient $\mathbf{F}_\mathrm{p}$.
DeformationGradientRate
The deformation gradient rate $\dot{\mathbf{F}}$.
DeformationGradientRateList
A list of deformation gradient rates.
DeformationGradientRatePlastic
The plastic deformation gradient rate $\dot{\mathbf{F}}_\mathrm{p}$.
DeformationGradientRates
A vector of deformation gradient rates.
DeformationGradients
A vector of deformation gradients.
Displacement
A displacement.
FirstPiolaKirchhoffRateTangentStiffness
The rate tangent stiffness associated with the first Piola-Kirchhoff stress $\boldsymbol{\mathcal{U}}$.
FirstPiolaKirchhoffRateTangentStiffnesses
A list of first Piola-Kirchhoff rate tangent stiffnesses.
FirstPiolaKirchhoffStress
The first Piola-Kirchhoff stress $\mathbf{P}$.
FirstPiolaKirchhoffStresses
A list of first Piola-Kirchhoff stresses.
FirstPiolaKirchhoffTangentStiffness
The tangent stiffness associated with the first Piola-Kirchhoff stress $\boldsymbol{\mathcal{C}}$.
FirstPiolaKirchhoffTangentStiffnesses
A list of first Piola-Kirchhoff tangent stiffnesses.
Force
A force.
Forces
A list of forces.
FrameSpin
The frame spin $\mathbf{\Omega}=\dot{\mathbf{Q}}\cdot\mathbf{Q}^T$.
HeatFlux
The heat flux.
LeftCauchyGreenDeformation
The left Cauchy-Green deformation $\mathbf{B}$.
MandelStress
The Mandel stress $\mathbf{M}$.
Normal
A normal.
ReferenceCoordinate
A coordinate in the reference configuration.
ReferenceCoordinates
A list of coordinates in the reference configuration.
RightCauchyGreenDeformation
The right Cauchy-Green deformation $\mathbf{C}$.
RotationCurrentConfiguration
The rotation of the current configuration $\mathbf{Q}$.
RotationRateCurrentConfiguration
The rate of rotation of the current configuration $\dot{\mathbf{Q}}$.
RotationReferenceConfiguration
The rotation of the reference configuration $\mathbf{Q}_0$.
Scalar
A scalar.
Scalars
A list of scalars.
SecondPiolaKirchhoffRateTangentStiffness
The rate tangent stiffness associated with the second Piola-Kirchhoff stress $\boldsymbol{\mathcal{W}}$.
SecondPiolaKirchhoffStress
The second Piola-Kirchhoff stress $\mathbf{S}$.
SecondPiolaKirchhoffTangentStiffness
The tangent stiffness associated with the second Piola-Kirchhoff stress $\boldsymbol{\mathcal{G}}$.
Stiffness
A stiffness resulting from a force.
Stiffnesses
A list of stiffnesses.
StretchingRate
The stretching rate $\mathbf{D}$.
StretchingRatePlastic
The plastic stretching rate $\mathbf{D}^\mathrm{p}$.
TemperatureGradient
The temperature gradient.
Times
A vector of times.
Traction
A traction.
Vector
A vector.
Vectors
A list of vectors.
Vectors2D
A 2D list of vectors.