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Numerical approximation of tangent moduli

 

In this study, we presented a numerically robust procedure to evaluate 4th order tangent moduli which are vital for acheiving quadratic convergence of global Newton-Raphson scheme.

In this study, the proposed method is verified for hyperelastic models alone. However, the same can be extended to other constitutive models.

The paper can be found at

Numerically approximated Cauchy integral (NACI) for implementation of constitutive models

10.1016/j.finel.2014.05.016

http://www.sciencedirect.com/science/article/pii/S0168874X14001061

Comments

The procedure provided in this paper can also be used to evaluate numerically accurate (see paper for definition) very high order derivatives of differentiable functions. 

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