Analysis of dispersive waves in repetitive lattices based on homogenized second-gradient continuum models

2016 ◽  
Vol 152 ◽  
pp. 712-728 ◽  
Author(s):  
H. Reda ◽  
Y. Rahali ◽  
J.F. Ganghoffer ◽  
H. Lakiss
Keyword(s):  
Continuum Models ◽  
Dispersive Waves ◽  
Second Gradient ◽  
Second Gradient Continuum

Construction of second gradient continuum models for random fibrous networks and analysis of size effects

2017 ◽  
Vol 181 ◽  
pp. 347-357 ◽  
Author(s):  
K. Berkache ◽  
S. Deogekar ◽  
I. Goda ◽  
R.C. Picu ◽  
J.-F. Ganghoffer
Keyword(s):  
Size Effects ◽  
Continuum Models ◽  
Second Gradient ◽  
Second Gradient Continuum

scholarly journals Bias extension test on an unbalanced woven composite reinforcement: Experiments and modeling via a second-gradient continuum approach

2016 ◽  
Vol 51 (2) ◽  
pp. 153-170 ◽  
Author(s):  
Gabriele Barbagallo ◽  
Angela Madeo ◽  
Ismael Azehaf ◽  
Ivan Giorgio ◽  
Fabrice Morestin ◽  
...  
Keyword(s):  
Constitutive Expression ◽  
Woven Fabrics ◽  
Woven Composite ◽  
Plane Shear ◽  
Second Gradient ◽  
Proposed Model ◽  
Bias Extension Test ◽  
Bias Extension ◽  
Deformation Patterns ◽  
Second Gradient Continuum

The classical continuum models used for the woven fabrics do not fully describe the whole set of phenomena that occur during the testing of those materials. This incompleteness is partially due to the absence of energy terms related to some microstructural properties of the fabric and, in particular, to the bending stiffness of the yarns. To account for the most fundamental microstructure-related deformation mechanisms occurring in unbalanced interlocks, a second-gradient, hyperelastic, initially orthotropic continuum model is proposed. A constitutive expression for the strain energy density is introduced to account for (a) in-plane shear deformations, (b) highly different bending stiffnesses in the warp and weft directions, and (c) fictive elongations in the warp and weft directions which eventually describe the relative sliding of the yarns. Numerical simulations which are able to reproduce the experimental behavior of unbalanced carbon interlocks subjected to a bias extension test are presented. In particular, the proposed model captures the macroscopic asymmetric S-shaped deformation of the specimen, as well as the main features of the associated deformation patterns of the yarns at the mesoscopic scale.

scholarly journals Model reduction for the forming process of fibrous composites structures via second gradient enriched continuum models

2019 ◽  
pp. 1-12
Author(s):  
Gabriele Barbagallo ◽  
Marco Valerio d’Agostino ◽  
Alexios Aivaliotis ◽  
Ali Daouadji ◽  
Ahmed Makradi ◽  
...  
Keyword(s):  
Model Reduction ◽  
Continuum Models ◽  
Fibrous Composites ◽  
Forming Process ◽  
Second Gradient

A second gradient continuum model accounting for some effects of micro-structure on reconstructed bone remodelling

2012 ◽  
Vol 340 (8) ◽  
pp. 575-589 ◽  
Author(s):  
Angela Madeo ◽  
D. George ◽  
T. Lekszycki ◽  
Mathieu Nierenberger ◽  
Yves Rémond
Keyword(s):  
Continuum Model ◽  
Bone Remodelling ◽  
Micro Structure ◽  
Second Gradient ◽  
Second Gradient Continuum
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