Micropolar Models of Architectured Materials from Discrete Homogenization: Case of Textile Monolayers

2013 ◽  
pp. 397-404 ◽  
Author(s):  
Ibrahim Goda ◽  
Mohamed Assidi ◽  
Jean-François Ganghoffer
Keyword(s):  
Architectured Materials ◽  
Discrete Homogenization

scholarly journals Large in-plane elastic deformations of bi-pantographic fabrics: asymptotic homogenization and experimental validation

2019 ◽  
Vol 25 (3) ◽  
pp. 739-767 ◽  
Author(s):  
Emilio Barchiesi ◽  
Simon R Eugster ◽  
Francesco dell’Isola ◽  
François Hild
Keyword(s):  
Deformation Energy ◽  
Rate Of Change ◽  
Image Correlation ◽  
Large Strains ◽  
Asymptotic Homogenization ◽  
Second Gradient ◽  
Manufacturing Techniques ◽  
Bias Extension ◽  
Architectured Materials ◽  
Pantographic Fabrics

Bi-pantographic fabrics are composed of two families of pantographic beams and correspond to a class of architectured materials that are described in plane as second-gradient 2D continua. On a discrete level, a pantographic beam is a periodic arrangement of cells and looks like an expanding barrier. The materialization of a bi-pantographic fabric made from polyamide was achieved by additive manufacturing techniques. Starting from a discrete spring system, the deformation energy of the corresponding continuum is derived for large strains by asymptotic homogenization. The obtained energy depends on the second gradient of the deformation through the rate of change in orientation and stretch of material lines directed along the pantographic beams. Displacement-controlled bias extension tests were performed on rectangular prototypes for total elastic extension up to 25%. Force–displacement measurements complemented by local digital image correlation analyses were used to fit the continuum model achieving excellent agreement.

scholarly journals A continuous crystallographic approach to generate cubic lattices and its effect on relative stiffness of architectured materials

2018 ◽  
Vol 21 ◽  
pp. 359-368 ◽  
Author(s):  
Julien Favre ◽  
Paul Lohmuller ◽  
Boris Piotrowski ◽  
Samuel Kenzari ◽  
Pascal Laheurte ◽  
...  
Keyword(s):  
Relative Stiffness ◽  
Cubic Lattices ◽  
Architectured Materials

Second Gradient Linear and Nonlinear Constitutive Models of Architectured Materials: Static and Dynamic Behaviors

2021 ◽  
pp. 53-71
Author(s):  
Yosra Rahali ◽  
Hilal Reda ◽  
Benoit Vieille ◽  
Hassan Lakiss ◽  
Jean-François Ganghoffer
Keyword(s):  
Constitutive Models ◽  
Dynamic Behaviors ◽  
Second Gradient ◽  
Linear And Nonlinear ◽  
Nonlinear Constitutive Models ◽  
Architectured Materials

Heterogeneous and Architectured Materials: A Possible Strategy for Design of Structural Materials

2008 ◽  
Vol 10 (1-2) ◽  
pp. 24-36 ◽  
Author(s):  
O. Bouaziz ◽  
Y. Bréchet ◽  
J. D. Embury
Keyword(s):  
Structural Materials ◽  
Architectured Materials

scholarly journals Designing complex architectured materials with generative adversarial networks

2020 ◽  
Vol 6 (17) ◽  
pp. eaaz4169 ◽  
Author(s):  
Yunwei Mao ◽  
Qi He ◽  
Xuanhe Zhao
Keyword(s):  
Prior Knowledge ◽  
Mass Production ◽  
Systematic Approach ◽  
Elastic Stiffness ◽  
Upper Bounds ◽  
Generative Adversarial Networks ◽  
Simulation Data ◽  
Adversarial Networks ◽  
Isotropic Elasticity ◽  
Architectured Materials

Architectured materials on length scales from nanometers to meters are desirable for diverse applications. Recent advances in additive manufacturing have made mass production of complex architectured materials technologically and economically feasible. Existing architecture design approaches such as bioinspiration, Edisonian, and optimization, however, generally rely on experienced designers’ prior knowledge, limiting broad applications of architectured materials. Particularly challenging is designing architectured materials with extreme properties, such as the Hashin-Shtrikman upper bounds on isotropic elasticity in an experience-free manner without prior knowledge. Here, we present an experience-free and systematic approach for the design of complex architectured materials with generative adversarial networks. The networks are trained using simulation data from millions of randomly generated architectures categorized based on different crystallographic symmetries. We demonstrate modeling and experimental results of more than 400 two-dimensional architectures that approach the Hashin-Shtrikman upper bounds on isotropic elastic stiffness with porosities from 0.05 to 0.75.

The role of anisotropy on the static and wave propagation characteristics of two-dimensional architectured materials under finite strains

2018 ◽  
Vol 147 ◽  
pp. 134-145 ◽  
Author(s):  
H. Reda ◽  
N. Karathanasopoulos ◽  
K. Elnady ◽  
J.F. Ganghoffer ◽  
H. Lakiss
Keyword(s):  
Wave Propagation ◽  
Finite Strains ◽  
Two Dimensional ◽  
Propagation Characteristics ◽  
Architectured Materials
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