Finite-strain laminates: Bending-enhanced hexahedron and delamination

With a new finite strain anisotropic framework, we introduce a unified approach for constitutive modeling and delamination of composites. We describe a finite-strain semi-implicit integration algorithm and the application to assumed-strain hexahedra. In a laminate composite, the laminae are modeled...

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Bibliographic Details
Published in:Composite structures Vol. 139; pp. 277 - 290
Main Authors: Areias, P., Rabczuk, T., Camanho, P.P.
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.04.2016
Subjects:
Algorithms
Anisotropy
Assumed-strain hexahedron
Delaminating
Delamination
Finite strains
Laminates
Least squares method
Löwdin frame
Mathematical models
Strain
Assumed-strain hexahedron
Finite strains
Anisotropy
Delamination
Löwdin frame
ISSN:0263-8223, 1879-1085
Online Access:Get full text
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Summary:With a new finite strain anisotropic framework, we introduce a unified approach for constitutive modeling and delamination of composites. We describe a finite-strain semi-implicit integration algorithm and the application to assumed-strain hexahedra. In a laminate composite, the laminae are modeled by an anisotropic Kirchhoff/Saint-Venant material and the interfaces are modeled by the exponential cohesive law with intrinsic characteristic length and the criterion by Benzeggagh and Kenane for the equivalent fracture toughness. For the element formulation, a weighted least-squares algorithm is used to calculate the mixed strain. Löwdin frames are used to model orthotropic materials without the added task of performing a polar decomposition or empirical frames. To assess the validity of our proposals and inspect step and mesh size dependence, a least-squares based hexahedral element is implemented and tested in depth in both deformation and delamination examples.
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ISSN:0263-8223
1879-1085
DOI:10.1016/j.compstruct.2015.12.007