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Oral Poster

A computational framework for the simulation of regularised damage

Thursday (27.09.2018)
16:00 - 16:03 S1/03 - 283
Part of:

We show a gradient-regularised damage formulation for the implementation in commercial finite element codes. The novelty is that the numerical implementation is established within a thermo-mechanically coupled finite element formulation, where the heat equation solution capabilities are utilised for the damage regularisation.

The non-local, gradient-extended and geometrically non-linear damage formulation is based on an overall free energy function, where the standard local free energy contribution is additively extended by two non-local terms. The first additional term basically contains the referential gradient of the non-local damage variable. Secondly, a penalty term is added to enforce equivalence between the local damage variable -- whose evolution is governed by an ordinary differential equation -- and the non-local damage field variable that is governed by an additional balance equation of elliptic type.

Since the additional elliptic balance equation is formally equivalent to the steady-state heat equation, the framework at hand allows for the regularisation of damage using the heat equation. In other words, existing finite element codes that provide thermo-mechanically coupled finite elements can be utilised to efficiently regularise the damage formulation. To this end, we show representative three-dimensional boundary value problems, the solution of which can take advantage of the features of existing, sophisticated finite element codes without the need for the implementation of user element routines.

Dr.-Ing. Richard Ostwald
TU Dortmund University
Additional Authors:
  • Prof. Dr. Ellen Kuhl
    Stanford University
  • Prof. Dr. Andreas Menzel
    TU Dortmund University