Numerically approximated Cauchy integral (NACI) for implementation of constitutive models
Numerically approximated Cauchy integral (NACI) is proposed to find accurate higher order derivatives. NACI is used to evaluate tensor derivatives of scalar functions. NACI is used to evaluate fourth order tangent moduli in material models. Computational efficiency of NACI is compared with other numerical procedures. NACI is found to be numerically robust and computationally efficient method for evaluating derivatives.
numerically approximated cauchy integral (naci) central difference methods (cdm) tangent modulus hyperelastic materials numerical derivatives