Module mechanics

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.
• DeformationGradientPlastic
  The plastic deformation gradient $\mathbf{F}_\mathrm{p}$.
• DeformationGradientRate
  The deformation gradient rate $\dot{\mathbf{F}}$.
• DeformationGradientRatePlastic
  The plastic deformation gradient rate $\dot{\mathbf{F}}_\mathrm{p}$.
• DeformationGradientRates
  A list of deformation gradient rates.
• DeformationGradients
  A list 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.
• Traction
  A traction.
• Vector
  A vector.
• Vectors
  A list of vectors.
• Vectors2D
  A 2D list of vectors.