8 Interaction of Harmonic Waves of Different Types …
123
Abali, B. E., Muller, W., & dell’Isola, F. (2017). Theory and computation of higher gradient elasticity
theories based on action principles. Archive of Applied Mechanics, 87(9).
Alibert, J. J., Seppecher, P., dell’Isola, F. (2003). Truss modular beams with deformation energy
de-pending on higher displacement gradients. Mathematics and Mechanics of Solids, 8(1).
Andreaus, U., dell’Isola, F., & Porfiri, M. (2004). Piezoelectric passive distributed controllers for
beam flexural vibrations. Journal of Vibration and Control, 10(5), 625–659.
Auffray, N., dell’Isola, F., Eremeyev, V., Madeo, A., & Rossi, G. (2013). Analytical continuum
mechanics à la Hamilton-Piola: Least action principle for second gradient continua and capillary
fluids. Mathematics and Mechanics of Solids.
Barchiesi, E., Spagnuolo, M., & Placidi, L. (2019). Mechanical metamaterials: A state of the art.
Mathematics and Mechanics of Solids, 24(1), 212–234.
Berezhnoi, D. V., Konoplev, Yu. G., Paimushin, V. N., & Sekaeva, L. R. (2004). Investigation
of the interaction between concrete collector and dry and waterlogged grounds. Trudy Vseros.
nauch. konf. “Matematicheskoe modelirovanie i kraevye zadachi” [Proc. All-Russ. Sci. Conf.
“Mathematical Simulation and Boundary Value Problems”]. Part 1. Mathematical Models of
Mechanics, Strength and Reliability of Structures. Samara, SamGTU, pp. 37–39. (In Russian).
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 topi-cal
contribution of Gabrio Piola. Mathematics and Mechanics of Solids, 20(8).
dell’Isola, F., Della Corte, A., & Giorgio, I. (2016). Higher-gradient continua: The legacy of Piola,
Mindlin, Sedov and Toupin and some future research perspectives. Mathematics and Mechanics
of Solids.
dell’Isola, F., Maurini, C., & Porfiri, M. (2004). Passive damping of beam vibrations through
distributed electric networks and piezoelectric transducers: prototype design and experimental
validation. Smart Materials and Structures, 13(2), 299.
dell’Isola, F., Seppecher, P., & Alibert, J. J. (2019). Pantographic metamaterials: an example of
math-emphatically 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).
Di Cosmo, F., Laudato, M., & Spagnuolo, M. (2018). Acoustic metamaterials based on local resonances: Homogenization, optimization and applications. Chapter from a book. In: Generalized
Models and Non-classical Approaches in Complex Materials. (pp. 247–274) Springer.
Gorshkov, A. G., Medvedskii, A. L., Rabinskii, L. N., & Tarlakovskii, D. V. (2004). Waves in
continuum media (472p.). Moscow: FIZMATLIT (In Russian).
Ivanov, V. A., & Paimushin, V. N. (1995). Refined formulation of dynamic problems of three-layered
shells with a transversally soft filler is a numerical-analytical method for solving them. Applied
Mechanics and Technical Physics, 36(4), 147–151.
Ivanov, V.A., & Paimushin, V. N. (1995). Refinement of the equations of the dynamics of multilayer
shells with a transversally soft filler. Izv. RAS. MTT, 3, 142–152.
Kostrov, B. V. (1964). Motion of a rigid massive wedge inserted into an elastic medium under the
effect of plane wave. Prikl Mat Mekh, 28(1), 99–110. (In Russian).
Maurini, C., dell’Isola, F., & Del Vescovo, D. (2004). Comparison of piezoelectronic networks
acting as distributed vibration absorbers. Mechanical Systems and Signal Processing, 18(5),
1243–1271.
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).
Ryl’ko, M. A. (1977). On the motion of a rigid rectangular insertion under the effect of plane wave.
Mekh Tverd Tela, 1, 158–164 (In Russian).
123
Abali, B. E., Muller, W., & dell’Isola, F. (2017). Theory and computation of higher gradient elasticity
theories based on action principles. Archive of Applied Mechanics, 87(9).
Alibert, J. J., Seppecher, P., dell’Isola, F. (2003). Truss modular beams with deformation energy
de-pending on higher displacement gradients. Mathematics and Mechanics of Solids, 8(1).
Andreaus, U., dell’Isola, F., & Porfiri, M. (2004). Piezoelectric passive distributed controllers for
beam flexural vibrations. Journal of Vibration and Control, 10(5), 625–659.
Auffray, N., dell’Isola, F., Eremeyev, V., Madeo, A., & Rossi, G. (2013). Analytical continuum
mechanics à la Hamilton-Piola: Least action principle for second gradient continua and capillary
fluids. Mathematics and Mechanics of Solids.
Barchiesi, E., Spagnuolo, M., & Placidi, L. (2019). Mechanical metamaterials: A state of the art.
Mathematics and Mechanics of Solids, 24(1), 212–234.
Berezhnoi, D. V., Konoplev, Yu. G., Paimushin, V. N., & Sekaeva, L. R. (2004). Investigation
of the interaction between concrete collector and dry and waterlogged grounds. Trudy Vseros.
nauch. konf. “Matematicheskoe modelirovanie i kraevye zadachi” [Proc. All-Russ. Sci. Conf.
“Mathematical Simulation and Boundary Value Problems”]. Part 1. Mathematical Models of
Mechanics, Strength and Reliability of Structures. Samara, SamGTU, pp. 37–39. (In Russian).
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 topi-cal
contribution of Gabrio Piola. Mathematics and Mechanics of Solids, 20(8).
dell’Isola, F., Della Corte, A., & Giorgio, I. (2016). Higher-gradient continua: The legacy of Piola,
Mindlin, Sedov and Toupin and some future research perspectives. Mathematics and Mechanics
of Solids.
dell’Isola, F., Maurini, C., & Porfiri, M. (2004). Passive damping of beam vibrations through
distributed electric networks and piezoelectric transducers: prototype design and experimental
validation. Smart Materials and Structures, 13(2), 299.
dell’Isola, F., Seppecher, P., & Alibert, J. J. (2019). Pantographic metamaterials: an example of
math-emphatically 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).
Di Cosmo, F., Laudato, M., & Spagnuolo, M. (2018). Acoustic metamaterials based on local resonances: Homogenization, optimization and applications. Chapter from a book. In: Generalized
Models and Non-classical Approaches in Complex Materials. (pp. 247–274) Springer.
Gorshkov, A. G., Medvedskii, A. L., Rabinskii, L. N., & Tarlakovskii, D. V. (2004). Waves in
continuum media (472p.). Moscow: FIZMATLIT (In Russian).
Ivanov, V. A., & Paimushin, V. N. (1995). Refined formulation of dynamic problems of three-layered
shells with a transversally soft filler is a numerical-analytical method for solving them. Applied
Mechanics and Technical Physics, 36(4), 147–151.
Ivanov, V.A., & Paimushin, V. N. (1995). Refinement of the equations of the dynamics of multilayer
shells with a transversally soft filler. Izv. RAS. MTT, 3, 142–152.
Kostrov, B. V. (1964). Motion of a rigid massive wedge inserted into an elastic medium under the
effect of plane wave. Prikl Mat Mekh, 28(1), 99–110. (In Russian).
Maurini, C., dell’Isola, F., & Del Vescovo, D. (2004). Comparison of piezoelectronic networks
acting as distributed vibration absorbers. Mechanical Systems and Signal Processing, 18(5),
1243–1271.
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).
Ryl’ko, M. A. (1977). On the motion of a rigid rectangular insertion under the effect of plane wave.
Mekh Tverd Tela, 1, 158–164 (In Russian).