A straightforward numerical technique for finite element implementation of non-local gradient-dependent continuum damage mechanics theories
by Rashid K. Abu Al-Rub, Masoud K. Darabi, Eyad A. Masad
International Journal of Theoretical and Applied Multiscale Mechanics (IJTAMM), Vol. 1, No. 4, 2010

Abstract: This paper presents a direct algorithm to implement non-local gradient-enhanced damage mechanics theories in the existing finite element codes with minor modifications and without the need to formulate a higher-order element. This method extends the algorithm of Abu Al-Rub and Voyiadjis (2005) to gradient-dependent damage theories and to three-dimensional (3D) problems. The presented algorithm is implemented in the well-known finite element code Abaqus via the user material subroutine UMAT. The potential of the proposed numerical algorithm for non-local gradient-enhanced damage theories in eliminating mesh-dependent simulations is validated by conducting various numerical tests of the localised damage.

Online publication date: Wed, 26-Jan-2011

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