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All issues Volume 29 (2023) ESAIM: COCV, 29 (2023) 53 References
Open Access
Issue
ESAIM: COCV
Volume 29, 2023
Article Number 53
Number of page(s) 28
DOI https://doi.org/10.1051/cocv/2023048
Published online 18 July 2023
  1. H. Abdoul-Anziz, L. Jakabčin and P. Seppecher, Homogenization of an elastic material reinforced by very strong fibres arranged along a periodic lattice. Proc. Roy. Soc. A 477 (2021) 20200620. [CrossRef] [Google Scholar]
  2. H. Abdoul-Anziz and P. Seppecher, Homogenization of periodic graph-based elastic structures. J. École Polytech. – Math. 5 (2018) 259–288. [CrossRef] [Google Scholar]
  3. H. Abdoul-Anziz and P. Seppecher, Strain gradient and generalized continua obtained by homogenizing frame lattices. Math. Mech. Complex Syst. 6 (2018) 213–250. [CrossRef] [MathSciNet] [Google Scholar]
  4. H. Abdoul-Anziz, P. Seppecher and C. Bellis, Homogenization of frame lattices leading to second gradient models coupling classical strain and strain-gradient terms. Math. Mech. Solids 24 (2019) 3976–3999. [CrossRef] [MathSciNet] [Google Scholar]
  5. G. Allaire, Homogenization and two-scale convergence. SIAM J. Math. Anal. 23 (1992) 1482–1518. [Google Scholar]
  6. H. Altenbach, M. Birsan and V.A. Eremeyev, Cosserat-type rods, in Generalized Continua from the Theory to Engineering Applications. Springer (2013) 179–248. [CrossRef] [Google Scholar]
  7. E. Barchiesi, F. dell’Isola, A.M. Bersani and E. Turco, Equilibria determination of elastic articulated duoskelion beams in 2D via a Riks-type algorithm. Int. J. Non-Linear Mech. 128 (2021) 103628. [CrossRef] [Google Scholar]
  8. E. Barchiesi, F. dell’Isola, P. Seppecher and E. Turco, A beam model for duoskelion structures derived by asymptotic homogenization and its application to axial loading problems. Eur. J. Mech. A Solids. 98 (2023) 104848. [CrossRef] [Google Scholar]
  9. A. Braides, A handbook of Γ-convergence, in Handbook of Differential Equations: Stationary Partial Differential Equations, Vol. 3. Elsevier (2006) 101–213. [CrossRef] [Google Scholar]
  10. Camar-Eddine and P.M. Seppecher, Determination of the closure of the set of elasticity functionals. Arch. Rational Mech. Anal. 170 (2003) 211–245. [CrossRef] [MathSciNet] [Google Scholar]
  11. M. De Angelo, L. Placidi, N. Nejadsadeghi and A. Misra, Non-standard Timoshenko beam model for chiral metamaterial: identification of stiffness parameters. Mech. Res. Commun. 103 (2020) 103462. [CrossRef] [Google Scholar]
  12. F. dell’Isola, A. Della Corte, A. Battista and E. Barchiesi, Extensible beam models in large deformation under distributed loading: a numerical study on multiplicity of solutions, in Higher Gradient Materials and Related Generalized Continua. Springer (2019) 19–41. [CrossRef] [Google Scholar]
  13. I. Giorgio and A. Della Corte, Dynamics of 1d nonlinear pantographic continua. Nonlinear Dyn. 88 (2017) 21–31. [CrossRef] [Google Scholar]
  14. M. Golaszewski, R. Grygoruk, I. Giorgio, M. Laudato and F. Di Cosmo, Metamaterials with relative displacements in their microstructure: technological challenges in 3D printing, experiments and numerical predictions. Continuum Mech. Thermodyn. 31 (2019) 1015–1034. [CrossRef] [Google Scholar]
  15. A. Misra, N. Nejadsadeghi, M. De Angelo and L. Placidi, Chiral metamaterial predicted by granular micromechanics: verified with 1D example synthesized using additive manufacturing. Continuum Mech. Thermodyn. 32 (2020) 1497–1513. [CrossRef] [MathSciNet] [Google Scholar]
  16. J.-J. Moreau, Proximité et dualité dans un espace hilbertien. Bull. Soc. Math. France 93 (1965) 273–299. [CrossRef] [Google Scholar]
  17. N. Nejadsadeghi, M. De Angelo, A. Misra and F. Hild, Multiscalar DIC analyses of granular string under stretch reveal non-standard deformation mechanisms. Int. J. Solids Struct. (2022) 111402. [CrossRef] [Google Scholar]
  18. N. Nejadsadeghi, F. Hild and A. Misra, Parametric experimentation to evaluate chiral bars representative of granular motif. Int. J. Mech. Sci. 221 (2022) 107184. [CrossRef] [Google Scholar]
  19. N. Nejadsadeghi and A. Misra, Axially moving materials with granular microstructure. Int. J. Mech. Sci. 161 (2019) 105042. [CrossRef] [Google Scholar]
  20. G. Nguetseng, A general convergence result for a functional related to the theory of homogenization. SIAM J. Math. Anal. 20 (1989) 608–623. [Google Scholar]
  21. C. Pideri and P. Seppecher, A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium. Continuum Mech. Thermodyn. 9 (1997) 241–257. [CrossRef] [MathSciNet] [Google Scholar]
  22. M. Spagnuolo and D. Scerrato, The mechanical diode: on the tracks of James Maxwell employing mechanical–electrical analogies in the design of metamaterials, in Developments and Novel Approaches in Biomechanics and Metamaterials. Springer (2020) 459–469. [CrossRef] [Google Scholar]
  23. E. Turco, E. Barchiesi and F. dell’Isola, In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results. Math. Mech. Solids 27 (2022) 1164–1184. [CrossRef] [MathSciNet] [Google Scholar]
  24. K Yosida, Functional Analysis. Springer (1974). [Google Scholar]

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