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

---

computeJacobian(F):

Compute Jacobian from deformation gradient.

Input Arguments

• F - deformation gradient in Voigt notation

Output Arguments

• J - Jacobian

---

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- I1, I2, I3, Ia or Ib

• secondDerivative - specify if second derivative should be computed

Output Arguments

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

---

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

---

computeTriangleArea(p1, p2, p3):

Computing the area of a triangle with vertices at points p1, p2, p3 (2D).