computeCauchyGreenStrain(F):

Compute right Cauchy-Green strain tensor from deformation gradient.

Input Arguments

• F - deformation gradient in Voigt notation

Output Arguments

• C - Cauchy-Green strain tensor in Voigt notation

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computeJacobian(F):

Compute Jacobian from deformation gradient.

Input Arguments

• F - deformation gradient in Voigt notation

Output Arguments

• J - Jacobian

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computeStrainInvariantDerivatives(F,i,secondDerivative=False):

Compute derivatives of the invariants of the Cauchy-Green strain tensor with respect to the deformation gradient. Plane strain is assumed.

Input Arguments

• F - deformation gradient in Voigt notation

• i - specify the invariant that should be differentiated

• secondDerivative - specify if second derivative should be computed

Output Arguments

• dIdF - derivative (note that the size of dIdF depends on the choice of secondDerivative)

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computeStrainInvariants(C):

Compute invariants of the Cauchy-Green strain tensor. Plane strain is assumed.

Input Arguments

• C - Cauchy-Green strain tensor in Voigt notation

Output Arguments

• I1 - 1st invariant

• I2 - 2nd invariant

• I3 - 3rd invariant

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