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A three‐dimensional progressive damage model for fiber reinforced composites with an implicit‐explicit integration scheme
Author(s) -
Maass Grischa,
Gruttmann Friedrich
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510060
Subject(s) - dissipation , robustness (evolution) , brittleness , isotropy , materials science , constitutive equation , failure mode and effects analysis , structural engineering , numerical integration , mechanics , composite material , computer science , mathematics , physics , finite element method , mathematical analysis , engineering , thermodynamics , biochemistry , chemistry , gene , quantum mechanics
This contribution proposes a fully three dimensional “continuum damage model” (CDM) to describe the interlaminar and intralaminar failure mechanisms of transversely isotropic elastic‐brittle materials under static loading. The constitutive model is derived from an energy function with independent damage variables for each damage mode. The evolution law is based on energy dissipation within the damage process, taking into account the critical energy release rate to weaken the effect of mesh dependent outcome. The onset of damage can be predicted with Cuntze's failure mode concept [1] as well as with Hashin's failure criteria. In this model linear stress decreasing is assumed. In addition, an implicit‐explicit integration scheme, first proposed by Oliver [3] for isotropic damage models, is adapted to increase the stability and robustness of numerical simulations and to decrease the computational cost of material failure analyses. By comparing the results from implicit‐explicit integration schemes and standard implicit integration schemes, a high level of agreement is found. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)