2 Excitation of the Waves with a Focused Source …
39
Del Vescovo, D., & Giorgio, I. (2014). Dynamic problems for metamaterials: Review of existing
models and ideas for further research. International Journal of Engineering Science, 80, 153–172.
dell’Isola, F., Andreaus, U., & Placidi, L. (2015). At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical
contribution of Gabrio Piola. Mathematics and Mechanics of Solids, 20(8).
dell’Isola, F., Della Corte, A., & Giorgio, I. (2016a). Higher-gradient continua: The legacy of Piola,
Mindlin, Sedov and Toupin and some future research perspectives. Mathematics and Mechanics
of Solids.
dell’Isola, F., Della Corte, A., Greco, L., Luongo, A. (2016b). 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.
dell’Isola, F., Giorgio, I., Pawlikowski, M., & Rizzi, N. (2016c). Large deformations of planar extensible beams and pantographic lattices: heuristic homogenization, experimental and numerical
examples of equilibrium. Proceedings of The Royal Society A, 472(2185).
dell’Isola, F., Eremeyev, V., & Porubov, A. (Eds). (2018). Advanced in mechanics of microstructured
media and structures. Advanced Structured Materials (Vol. 87, 370 p.). Cham, Switzerland:
Springer.
dell’Isola, F., Seppecher, P., Alibert, J. J., Lekszycki, T., Grygoruk, R., Pawlikowski, M., et al.
(2019a). Pantographic metamaterials: An example of mathematically driven design and of its
technological challenges. Continuum Mechanics and Thermodynamics, 31(4), 851–884.
dell’Isola, F., Seppecher, P., & Alibert, J. J. (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., Seppecher, P., & Madeo, A. (2012). How contact interactions may depend on the shape
of Cauchy cuts in Nth gradient continua: approach “à la D’Alembert”. Zeitschrift für angewandte
Mathematik und Physik, 63(6).
Erofeyev, V. I. (2003). Wave processes in solids with microstructure (p. 256). New Jersey, London,
Singapore, Hong Kong: World Scientific.
Jaramillo, T. J. (1929). A generalization of the energy function of elasticity theory. Dissertation,
Department of Mathematics, University of Chicago.
Klyuev, V. V. (Ed.). (2004). Non-destructive testing: A handbook in 7t. In I. N. Ermolov & Yu. V.
Lange (Eds.), Ultrasonic control (Vol. 3, 864 p.). Moscow: Mashinostroenie. (in Russian).
Konenkov, Yu. K. (1960). On the flexural wave of the Rayleigh type. Soviet physics. Acoustics,
6(1), 122–124.
Le Roux, J. (1911). Etude geometrique de la flexion, dans les deformations infinitesimaleg d’nn
milien continu. Annales Scientifiques de l’École Normale Supérieure, 28, 523–579.
Le Roux, J. (1913). Recherchesg sur la geometrie beg deformatios finies. Annales Scientifiques de
l’École Normale Supérieure, 30, 193–245.
Lord Rayleigh. On waves propagated along the plane surface of an elastic solid. Proceedings of the
London Mathematical Society. 1885. s1–17(1). 4–11.
Maugin G.A. Non-Classical Continuum Mechanics. Advanced Structured Matherials.Vol. 51.
Springer, Singapore, 2017. 260 p.
Maugin, G. A., & Metrikine A. V. (Eds.). (2018). Mechanics of generalized continua: On hundred
years after the Cosserats. Advances in Mathematics and Mechanics (Vol. 21, 338 p.). Berlin:
Springer.
Neff, P., Ghiba, I.-D., Madeo, A., Placidi L., & Rosi G. (2014). A unifying perspective: the relaxed
linear micromorphic continuum. Continuum Mechanics and Thermodynamics, 26(5).
Placidi, L., Andreaus, U., & Giorgio, I. (2017). Identification of two-dimensional pantographic
structure via a linear D4 orthotropic second gradient elastic model. Journal of Engineering
Mathematics.
Placidi, L., Barchiesi, E., Turco, E., Rizzi, N. L. (2016). A review on 2D models for the description
of pantographic fabrics. Zeitschrift für angewandte Mathematik und Physik, 67(5).
39
Del Vescovo, D., & Giorgio, I. (2014). Dynamic problems for metamaterials: Review of existing
models and ideas for further research. International Journal of Engineering Science, 80, 153–172.
dell’Isola, F., Andreaus, U., & Placidi, L. (2015). At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical
contribution of Gabrio Piola. Mathematics and Mechanics of Solids, 20(8).
dell’Isola, F., Della Corte, A., & Giorgio, I. (2016a). Higher-gradient continua: The legacy of Piola,
Mindlin, Sedov and Toupin and some future research perspectives. Mathematics and Mechanics
of Solids.
dell’Isola, F., Della Corte, A., Greco, L., Luongo, A. (2016b). 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.
dell’Isola, F., Giorgio, I., Pawlikowski, M., & Rizzi, N. (2016c). Large deformations of planar extensible beams and pantographic lattices: heuristic homogenization, experimental and numerical
examples of equilibrium. Proceedings of The Royal Society A, 472(2185).
dell’Isola, F., Eremeyev, V., & Porubov, A. (Eds). (2018). Advanced in mechanics of microstructured
media and structures. Advanced Structured Materials (Vol. 87, 370 p.). Cham, Switzerland:
Springer.
dell’Isola, F., Seppecher, P., Alibert, J. J., Lekszycki, T., Grygoruk, R., Pawlikowski, M., et al.
(2019a). Pantographic metamaterials: An example of mathematically driven design and of its
technological challenges. Continuum Mechanics and Thermodynamics, 31(4), 851–884.
dell’Isola, F., Seppecher, P., & Alibert, J. J. (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., Seppecher, P., & Madeo, A. (2012). How contact interactions may depend on the shape
of Cauchy cuts in Nth gradient continua: approach “à la D’Alembert”. Zeitschrift für angewandte
Mathematik und Physik, 63(6).
Erofeyev, V. I. (2003). Wave processes in solids with microstructure (p. 256). New Jersey, London,
Singapore, Hong Kong: World Scientific.
Jaramillo, T. J. (1929). A generalization of the energy function of elasticity theory. Dissertation,
Department of Mathematics, University of Chicago.
Klyuev, V. V. (Ed.). (2004). Non-destructive testing: A handbook in 7t. In I. N. Ermolov & Yu. V.
Lange (Eds.), Ultrasonic control (Vol. 3, 864 p.). Moscow: Mashinostroenie. (in Russian).
Konenkov, Yu. K. (1960). On the flexural wave of the Rayleigh type. Soviet physics. Acoustics,
6(1), 122–124.
Le Roux, J. (1911). Etude geometrique de la flexion, dans les deformations infinitesimaleg d’nn
milien continu. Annales Scientifiques de l’École Normale Supérieure, 28, 523–579.
Le Roux, J. (1913). Recherchesg sur la geometrie beg deformatios finies. Annales Scientifiques de
l’École Normale Supérieure, 30, 193–245.
Lord Rayleigh. On waves propagated along the plane surface of an elastic solid. Proceedings of the
London Mathematical Society. 1885. s1–17(1). 4–11.
Maugin G.A. Non-Classical Continuum Mechanics. Advanced Structured Matherials.Vol. 51.
Springer, Singapore, 2017. 260 p.
Maugin, G. A., & Metrikine A. V. (Eds.). (2018). Mechanics of generalized continua: On hundred
years after the Cosserats. Advances in Mathematics and Mechanics (Vol. 21, 338 p.). Berlin:
Springer.
Neff, P., Ghiba, I.-D., Madeo, A., Placidi L., & Rosi G. (2014). A unifying perspective: the relaxed
linear micromorphic continuum. Continuum Mechanics and Thermodynamics, 26(5).
Placidi, L., Andreaus, U., & Giorgio, I. (2017). Identification of two-dimensional pantographic
structure via a linear D4 orthotropic second gradient elastic model. Journal of Engineering
Mathematics.
Placidi, L., Barchiesi, E., Turco, E., Rizzi, N. L. (2016). A review on 2D models for the description
of pantographic fabrics. Zeitschrift für angewandte Mathematik und Physik, 67(5).