Pantographic metamaterials: an example of mathematically driven design and of its technological challenges
F Dell'Isola, P Seppecher, JJ Alibert… - Continuum Mechanics …, 2019 - Springer
In this paper, we account for the research efforts that have been started, for some among us,
already since 2003, and aimed to the design of a class of exotic architectured, optimized …
already since 2003, and aimed to the design of a class of exotic architectured, optimized …
Strain gradient and generalized continua obtained by homogenizing frame lattices
H Abdoul-Anziz, P Seppecher - Mathematics and mechanics of complex …, 2018 - msp.org
We determine the effective behavior of periodic structures made of welded elastic bars.
Taking into account the fact that flexural and torsional stiffnesses are much smaller than the …
Taking into account the fact that flexural and torsional stiffnesses are much smaller than the …
[HTML][HTML] Research perspective on multiphysics and multiscale materials: a paradigmatic case
A Ciallella - Continuum Mechanics and Thermodynamics, 2020 - Springer
Pantographic fabrics are presented as a paradigmatic example to discuss the research
perspective on multiphysics and multiscale materials. Reduced-order modeling, obtained by …
perspective on multiphysics and multiscale materials. Reduced-order modeling, obtained by …
[HTML][HTML] Linear pantographic sheets: existence and uniqueness of weak solutions
VA Eremeyev, F Dell'Isola, C Boutin, D Steigmann - Journal of Elasticity, 2018 - Springer
The well-posedness of the boundary value problems for second gradient elasticity has been
studied under the assumption of strong ellipticity of the dependence on the second …
studied under the assumption of strong ellipticity of the dependence on the second …
[HTML][HTML] Additive manufacturing introduced substructure and computational determination of metamaterials parameters by means of the asymptotic homogenization
BE Abali, E Barchiesi - Continuum Mechanics and Thermodynamics, 2021 - Springer
Metamaterials exhibit materials response deviation from conventional elasticity. This
phenomenon is captured by the generalized elasticity as a result of extending the theory at …
phenomenon is captured by the generalized elasticity as a result of extending the theory at …
[HTML][HTML] Verification of asymptotic homogenization method developed for periodic architected materials in strain gradient continuum
Strain gradient theory is an accurate model for capturing the size effect and localization
phenomena. However, the challenge in identification of corresponding constitutive …
phenomena. However, the challenge in identification of corresponding constitutive …
Determination of metamaterial parameters by means of a homogenization approach based on asymptotic analysis
By using modern additive manufacturing techniques, a structure at the millimeter length
scale (macroscale) can be produced showing a lattice substructure of micrometer …
scale (macroscale) can be produced showing a lattice substructure of micrometer …
Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures?
M Spagnuolo, ME Yildizdag… - … and Mechanics of …, 2021 - journals.sagepub.com
The central theme of this study is to investigate a remarkable capability of a second-gradient
continuum model developed for pantographic structures. The model is applied to a particular …
continuum model developed for pantographic structures. The model is applied to a particular …
Investigation of deformation behavior of PETG-FDM-printed metamaterials with pantographic substructures based on different slicing strategies
A Özen, G Ganzosch, E Barchiesi… - Composites and …, 2021 - journals.sagepub.com
Based on the progress and advances of additive manufacturing technologies, design and
production of complex structures became cheaper and therefore rather possible in the …
production of complex structures became cheaper and therefore rather possible in the …
A Lagrangian Hencky-type non-linear model suitable for metamaterials design of shearable and extensible slender deformable bodies alternative to Timoshenko …
Among the most studied models in mathematical physics, Timoshenko beam is outstanding
for its importance in technological applications. Therefore it has been extensively studied …
for its importance in technological applications. Therefore it has been extensively studied …