14 Flocking Rules Governing Swarm Robot as Tool to Describe …
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dell’Isola, F., & Placidi, L. (2011). Variational principles are a powerful tool also for formulating
field theories. In Variational models and methods in solid and fluid mechanics (pp. 1–15). Springer,
Vienna.
dell’Isola, F, Auffray, N., Eremeyev, V. A., Madeo, A., Placidi, L., Rosi, G. (2014) Least action
principle for second gradient continua and capillary fluids: A lagrangian approach following
piola’s point of view. In The complete works of Gabrio Piola: Volume I, Springer, pp. 606–694.
Dell’Isola, F., Gavrilyuk, S. (2012). Variational models and methods in solid and fluid mechanics,
vol. 535. Springer Science & Business Media.
dell’Isola, F., Seppecher, P., & Corte, A. D. (2015a). The postulations á la D’Alembert and
á la Cauchy for higher gradient continuum theories are equivalent: A review of existing
results. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences,
471(2183), 20150415.
dell’Isola, F., Lekszycki, T., Pawlikowski, M., Grygoruk, R., & Greco, L. (2015b). Designing a
light fabric metamaterial being highly macroscopically tough under directional extension: First
experimental evidence. Zeitschrift Für Angewandte Mathematik Und Physik, 66(6), 3473–3498.
dell’Isola, F., Della Corte, A., Greco, L., & Luongo, A. (2016a). Plane bias extension test for
a continuum with two inextensible families of fibers: A variational treatment with lagrange
multipliers and a perturbation solution. International Journal of Solids and Structures, 81, 1–12
dell’Isola, F., d’Agostino, M. V., Madeo, A., Boisse, P., & Steigmann, D. (2016b). Minimization
of shear energy in two dimensional continua with two orthogonal families of inextensible fibers:
The case of standard bias extension test. Journal of Elasticity, 122(2), 131–155.
dell’Isola, F., Della Corte, A., Greco, L., & Luongo, A. (2016c). Plane bias extension test for
a continuum with two inextensible families of fibers: A variational treatment with Lagrange
multipliers and a perturbation solution. International Journal of Solids and Structures, 81, 1–12.
dell’Isola, F., Madeo, A., & Seppecher, P. (2016d). Cauchy tetrahedron argument applied to higher
contact interactions. Archive for Rational Mechanics and Analysis, 219(3), 1305–1341.
dell’Isola, F., Corte, A. D., & Giorgio, I. (2017). Higher-gradient continua: The legacy of Piola,
Mindlin, Sedov and Toupin and some future research perspectives. Mathematics and Mechanics
of Solids, 22(4), 852–872.
dell’Isola, F., Seppecher, P., Spagnuolo, M., Barchiesi, E., Hild, F., Lekszycki, T., Eugster, S. R.,
et al. (2019a). Advances in pantographic structures: Design, manufacturing, models, experiments
and image analyses. Continuum Mechanics and Thermodynamics, 1–52.
Dell’Isola, F., Seppecher, P., Alibert, J. J., Lekszycki, T., Grygoruk, R., Pawlikowski, M., &
Gołaszewski, M., et al. (2019b). Pantographic metamaterials: An example of mathematically
driven design and of its technological challenges. Continuum Mechanics and Thermodynamics,
31(4), 851–884.
dell’Isola, F., Turco, E., Misra, A., Vangelatos, Z., Grigoropoulos, C., Melissinaki, V., & Farsari,
M. (2019c). Force–displacement relationship in micro-metric pantographs: experiments and
numerical simulations. Comptes Rendus Mécanique, 347(5), 397–405.
Dell’Erba, R. (2001). Rheo-mechanical and rheo-optical characterisation of ultra high molecular
mass poly (methylmethacrylate) in solution. Polymer, 42(6), 2655–2663.
Eremeyev, V. A. (2018). A nonlinear model of a mesh shell. Mechanics of Solids, 53(4), 464–469.
Eremeyev, V. A. (2019a). Strongly anisotropic surface elasticity and antiplane surface waves.
Philosophical Transactions of the Royal Society A, 378(2162), 20190100.
Eremeyev, V. A. (2019b). Two-and three-dimensional elastic networks with rigid junctions:
Modeling within the theory of micropolar shells and solids. Acta Mechanica, 230(11), 3875–3887.
Eremeyev, V. A., & Sharma, B. L. (2019). Anti-plane surface waves in media with surface structure:
discrete vs. continuum model. International Journal of Engineering Science, 143, 33–38.
Eremeyev, V. A., Lebedev, L. P., & Altenbach, H. (2012). Foundations of micropolar mechanics.
Springer Science & Business Media.
Eremeyev, V. A., Dell’Isola, F., Boutin, C., & Steigmann, D. (2018). Linear pantographic sheets:
Existence and uniqueness of weak solutions. Journal of Elasticity, 132(2), 175–196.
241
dell’Isola, F., & Placidi, L. (2011). Variational principles are a powerful tool also for formulating
field theories. In Variational models and methods in solid and fluid mechanics (pp. 1–15). Springer,
Vienna.
dell’Isola, F, Auffray, N., Eremeyev, V. A., Madeo, A., Placidi, L., Rosi, G. (2014) Least action
principle for second gradient continua and capillary fluids: A lagrangian approach following
piola’s point of view. In The complete works of Gabrio Piola: Volume I, Springer, pp. 606–694.
Dell’Isola, F., Gavrilyuk, S. (2012). Variational models and methods in solid and fluid mechanics,
vol. 535. Springer Science & Business Media.
dell’Isola, F., Seppecher, P., & Corte, A. D. (2015a). The postulations á la D’Alembert and
á la Cauchy for higher gradient continuum theories are equivalent: A review of existing
results. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences,
471(2183), 20150415.
dell’Isola, F., Lekszycki, T., Pawlikowski, M., Grygoruk, R., & Greco, L. (2015b). Designing a
light fabric metamaterial being highly macroscopically tough under directional extension: First
experimental evidence. Zeitschrift Für Angewandte Mathematik Und Physik, 66(6), 3473–3498.
dell’Isola, F., Della Corte, A., Greco, L., & Luongo, A. (2016a). Plane bias extension test for
a continuum with two inextensible families of fibers: A variational treatment with lagrange
multipliers and a perturbation solution. International Journal of Solids and Structures, 81, 1–12
dell’Isola, F., d’Agostino, M. V., Madeo, A., Boisse, P., & Steigmann, D. (2016b). Minimization
of shear energy in two dimensional continua with two orthogonal families of inextensible fibers:
The case of standard bias extension test. Journal of Elasticity, 122(2), 131–155.
dell’Isola, F., Della Corte, A., Greco, L., & Luongo, A. (2016c). Plane bias extension test for
a continuum with two inextensible families of fibers: A variational treatment with Lagrange
multipliers and a perturbation solution. International Journal of Solids and Structures, 81, 1–12.
dell’Isola, F., Madeo, A., & Seppecher, P. (2016d). Cauchy tetrahedron argument applied to higher
contact interactions. Archive for Rational Mechanics and Analysis, 219(3), 1305–1341.
dell’Isola, F., Corte, A. D., & Giorgio, I. (2017). Higher-gradient continua: The legacy of Piola,
Mindlin, Sedov and Toupin and some future research perspectives. Mathematics and Mechanics
of Solids, 22(4), 852–872.
dell’Isola, F., Seppecher, P., Spagnuolo, M., Barchiesi, E., Hild, F., Lekszycki, T., Eugster, S. R.,
et al. (2019a). Advances in pantographic structures: Design, manufacturing, models, experiments
and image analyses. Continuum Mechanics and Thermodynamics, 1–52.
Dell’Isola, F., Seppecher, P., Alibert, J. J., Lekszycki, T., Grygoruk, R., Pawlikowski, M., &
Gołaszewski, M., et al. (2019b). Pantographic metamaterials: An example of mathematically
driven design and of its technological challenges. Continuum Mechanics and Thermodynamics,
31(4), 851–884.
dell’Isola, F., Turco, E., Misra, A., Vangelatos, Z., Grigoropoulos, C., Melissinaki, V., & Farsari,
M. (2019c). Force–displacement relationship in micro-metric pantographs: experiments and
numerical simulations. Comptes Rendus Mécanique, 347(5), 397–405.
Dell’Erba, R. (2001). Rheo-mechanical and rheo-optical characterisation of ultra high molecular
mass poly (methylmethacrylate) in solution. Polymer, 42(6), 2655–2663.
Eremeyev, V. A. (2018). A nonlinear model of a mesh shell. Mechanics of Solids, 53(4), 464–469.
Eremeyev, V. A. (2019a). Strongly anisotropic surface elasticity and antiplane surface waves.
Philosophical Transactions of the Royal Society A, 378(2162), 20190100.
Eremeyev, V. A. (2019b). Two-and three-dimensional elastic networks with rigid junctions:
Modeling within the theory of micropolar shells and solids. Acta Mechanica, 230(11), 3875–3887.
Eremeyev, V. A., & Sharma, B. L. (2019). Anti-plane surface waves in media with surface structure:
discrete vs. continuum model. International Journal of Engineering Science, 143, 33–38.
Eremeyev, V. A., Lebedev, L. P., & Altenbach, H. (2012). Foundations of micropolar mechanics.
Springer Science & Business Media.
Eremeyev, V. A., Dell’Isola, F., Boutin, C., & Steigmann, D. (2018). Linear pantographic sheets:
Existence and uniqueness of weak solutions. Journal of Elasticity, 132(2), 175–196.