Does anyone know Neo-Hookean constitutive matrix step by step derivation?

05 May 2016 1 9K Report

I would like to know how to get constitutive matrix for Neo-Hookean hyperelastic model which is used in ABAQUS UMAT subroutine. (http://imechanica.org/files/Writing%20a%20UMAT.pdf). In Abaqus theory manual, it described this derivation but many step is missing. Can you please suggest me a book or paper where I can find detail derivation.

Rahav Gowtham Venkateswaran

Hello Tien,

I would suggest you to refer to the book "Nonlinear continuum mechanics for finite element analysis" by Javier Bonet and Richard D. Wood. You will be able to find the required derivation there.

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