Deformation gradient tensor decomposition for representing matrix cracks in fiber-reinforced materials

A new method is presented for the representation of matrix cracks in continuum damage mechanics (CDM) models for fiber-reinforced materials. The method is based on the additive decomposition of the deformation gradient tensor into ‘crack’ and ‘bulk material’ components, analogous to the additive str...

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Bibliographic Details
Published in:Composites. Part A, Applied science and manufacturing Applied science and manufacturing, 2015-09, Vol.76, p.334-341
Main Author: Leone, Frank A.
Format: Article
Language:English
Subjects:
A. Polymer-matrix composites
Additives
C. Damage mechanics
C. Finite element analysis (FEA)
Decomposition
Deformation
Fiber reinforced materials
Mathematical analysis
Matrix cracks
Shear deformation
Tensors
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Summary:A new method is presented for the representation of matrix cracks in continuum damage mechanics (CDM) models for fiber-reinforced materials. The method is based on the additive decomposition of the deformation gradient tensor into ‘crack’ and ‘bulk material’ components, analogous to the additive strain decomposition of the smeared-crack approach. The potential improvements to the accuracy of CDM models that utilize the presented method are demonstrated for a single element subjected to simple shear deformation and for a unidirectional open-hole tension specimen. The presented method avoids load transfer across matrix cracks and eliminates the prediction of spurious secondary failure modes that occurs when conventional strain-based CDM models are used in geometrically nonlinear finite element analyses involving large shear deformations.
ISSN:1359-835X
1878-5840
DOI:10.1016/j.compositesa.2015.06.014