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Invariant Based Transversely-Isotropic Material and Failure Model for Fiber-Reinforced Polymers

M. Vogler1, G. Ernst1, R. Rolfes1

1 ISD, Leibniz Universität Hannover, Germany.

Computers, Materials & Continua 2010, 16(1), 25-50.


In this article, a constitutive formulation of a transversely-isotropic material and failure model for fiber-reinforced polymers is presented comprising pre-failure material nonlinearities, a novel invariant based quadratic failure criterion (IQC) as well as post failure material softening. The failure surface of the IQ criterion is assumed to take the influence of triaxiality on fracture into account. Further, a distinction between fiber failure and inter-fiber failure is conducted. Material softening is governed by a fracture energy formulation and the introduction of an internal length. The constitutive model is implemented into a programming user interface of the commercial finite element program Abaqus. As results, different laminate lay-ups are modelled and exposed to different stress states in an FE analysis. The obtained failure surfaces and stress strain curves for each laminate lay-up are compared to experimental data. As further applications of the material model presented, a curved composite beam, showing delamination, and a 0 /90 /0 -rod, showing the characteristic damage state in the 90 layer, are simulated and compared to tests.


Cite This Article

M. Vogler, . G. Ernst and . R. Rolfes, "Invariant based transversely-isotropic material and failure model for fiber-reinforced polymers," Computers, Materials & Continua, vol. 16, no.1, pp. 25–50, 2010.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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