150
G. Yu. Levi et al.
Bao, H., Bielak, J., Ghattas, O., Kallivokas, L. F., O’Hallaron, D. R., Shewchuk, J. R., & Xu, J.
(1998). Large-scale simulation of elastic wave propagation in heterogeneous media on parallel
computers. Computer Methods in Applied Mechanics and Engineering, 152(1–2), 85–102.
Barchiesi, E., & Khakalo, S. (2019). Variational asymptotic homogenization of beam-like square
lattice structures. Mathematics and Mechanics of Solids, 24(10), 3295–3318.
Barchiesi, E., Laudato, M., & Di Cosmo, F. (2018). Wave dispersion in non-linear pantographic
beams. Mechanics Research Communications, 94, 128–132.
Barchiesi, E., & Placidi, L. (2017). A review on models for the 3D statics and 2D dynamics of
pantographic fabrics. Wave dynamics and composite mechanics for microstructured materials
and metamaterials (pp. 239–258). Singapore: Springer.
Barchiesi, E., Spagnuolo, M., & Placidi, L. (2019). Mechanical metamaterials: A state of the art.
Mathematics and Mechanics of Solids, 24(1), 212–234.
Belyankova, T. I., Vorovich, E. I., Kalinchuk, V. V., & Puzanov, Yu. E. (1999). Dynamic contact
problem for thermo-elastic layer. Scientific-Educational and Applied Journal University News.
North-Caucasian Region. Natural Sciences Series, 4, 109–110. ((In Russian)).
Belyankova, T. I., Kalinchuk, V. V., & Suvorova, G. Y. (2012). A dynamic contact problem for a
thermoelastic prestressed layer. Journal of Applied Mathematics and Mechanics, 75, 537–546.
https://doi.org/10.1016/j.jappmathmech.2012.11.013
Belyankova, T. I., & Kalinchuk, V. V. (2016). Green’s function for a prestressed thermoelastic halfspace with an inhomogeneous coating. Journal of Applied Mechanics and Technical Physics, 57,
828–840. https://doi.org/10.1134/S0021894416050096
Boutin, C., Giorgio, I., & Placidi, L. (2017). Linear pantographic sheets: Asymptotic micro-macro
models identification. Mathematics and Mechanics of Complex Systems, 5(2), 127–162.
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), 887–928.
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., Giorgio, I., & Andreaus, U. (2015). Elastic pantographic 2D lattices: A numerical
analysis on the static response and wave propagation. Proceedings of the Estonian Academy of
Sciences, 64(3), 219.
Dell’Isola, F., Seppecher, P., Alibert, J. J., Lekszycki, T., Grygoruk, R., Pawlikowski, M., &
Gołaszewski, M. (2019). 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), 1119–1141.
dell’Isola, F., Seppecher, P., Spagnuolo, M., Barchiesi, E., Hild, F., Lekszycki, T., & Eugster, S. R.
(2019). Advances in pantographic structures: Design, manufacturing, models, experiments and
image analyses. Continuum Mechanics and Thermodynamics, 31(4), 1231–1282.
Elhagary, M. (2013). A two-dimensional generalized thermoelastic diffusion problem for a halfspace subjected to harmonically varying heating. Acta Mechanica, 224, 3057–3069. https://doi.
org/10.1007/s00707-013-0902-6
El-Maghraby, N. M. (2008). A two-dimensional generalized thermoelasticity problem for a halfspace under the action of a body force. Journal of Thermal Stresses, 31, 557–568. https://doi.org/
10.1080/01495730801978281
Eremeyev, V. A., Alzahrani, F. S., Cazzani, A., dell’Isola, F., Hayat, T., Turco, E., & Konopi´ nskaZmysłowska, V. (2019). On existence and uniqueness of weak solutions for linear pantographic
beam lattices models. Continuum Mechanics and Thermodynamics, 31(6), 1843–1861.
Eugster, S., & Steigmann, D. (2019). Continuum theory for mechanical metamaterials with a cubic
lattice substructure. Mathematics and Mechanics of Complex Systems, 7(1), 75–98.
G. Yu. Levi et al.
Bao, H., Bielak, J., Ghattas, O., Kallivokas, L. F., O’Hallaron, D. R., Shewchuk, J. R., & Xu, J.
(1998). Large-scale simulation of elastic wave propagation in heterogeneous media on parallel
computers. Computer Methods in Applied Mechanics and Engineering, 152(1–2), 85–102.
Barchiesi, E., & Khakalo, S. (2019). Variational asymptotic homogenization of beam-like square
lattice structures. Mathematics and Mechanics of Solids, 24(10), 3295–3318.
Barchiesi, E., Laudato, M., & Di Cosmo, F. (2018). Wave dispersion in non-linear pantographic
beams. Mechanics Research Communications, 94, 128–132.
Barchiesi, E., & Placidi, L. (2017). A review on models for the 3D statics and 2D dynamics of
pantographic fabrics. Wave dynamics and composite mechanics for microstructured materials
and metamaterials (pp. 239–258). Singapore: Springer.
Barchiesi, E., Spagnuolo, M., & Placidi, L. (2019). Mechanical metamaterials: A state of the art.
Mathematics and Mechanics of Solids, 24(1), 212–234.
Belyankova, T. I., Vorovich, E. I., Kalinchuk, V. V., & Puzanov, Yu. E. (1999). Dynamic contact
problem for thermo-elastic layer. Scientific-Educational and Applied Journal University News.
North-Caucasian Region. Natural Sciences Series, 4, 109–110. ((In Russian)).
Belyankova, T. I., Kalinchuk, V. V., & Suvorova, G. Y. (2012). A dynamic contact problem for a
thermoelastic prestressed layer. Journal of Applied Mathematics and Mechanics, 75, 537–546.
https://doi.org/10.1016/j.jappmathmech.2012.11.013
Belyankova, T. I., & Kalinchuk, V. V. (2016). Green’s function for a prestressed thermoelastic halfspace with an inhomogeneous coating. Journal of Applied Mechanics and Technical Physics, 57,
828–840. https://doi.org/10.1134/S0021894416050096
Boutin, C., Giorgio, I., & Placidi, L. (2017). Linear pantographic sheets: Asymptotic micro-macro
models identification. Mathematics and Mechanics of Complex Systems, 5(2), 127–162.
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), 887–928.
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., Giorgio, I., & Andreaus, U. (2015). Elastic pantographic 2D lattices: A numerical
analysis on the static response and wave propagation. Proceedings of the Estonian Academy of
Sciences, 64(3), 219.
Dell’Isola, F., Seppecher, P., Alibert, J. J., Lekszycki, T., Grygoruk, R., Pawlikowski, M., &
Gołaszewski, M. (2019). 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), 1119–1141.
dell’Isola, F., Seppecher, P., Spagnuolo, M., Barchiesi, E., Hild, F., Lekszycki, T., & Eugster, S. R.
(2019). Advances in pantographic structures: Design, manufacturing, models, experiments and
image analyses. Continuum Mechanics and Thermodynamics, 31(4), 1231–1282.
Elhagary, M. (2013). A two-dimensional generalized thermoelastic diffusion problem for a halfspace subjected to harmonically varying heating. Acta Mechanica, 224, 3057–3069. https://doi.
org/10.1007/s00707-013-0902-6
El-Maghraby, N. M. (2008). A two-dimensional generalized thermoelasticity problem for a halfspace under the action of a body force. Journal of Thermal Stresses, 31, 557–568. https://doi.org/
10.1080/01495730801978281
Eremeyev, V. A., Alzahrani, F. S., Cazzani, A., dell’Isola, F., Hayat, T., Turco, E., & Konopi´ nskaZmysłowska, V. (2019). On existence and uniqueness of weak solutions for linear pantographic
beam lattices models. Continuum Mechanics and Thermodynamics, 31(6), 1843–1861.
Eugster, S., & Steigmann, D. (2019). Continuum theory for mechanical metamaterials with a cubic
lattice substructure. Mathematics and Mechanics of Complex Systems, 7(1), 75–98.