9 Computer Simulation of the Process of Loss of Stability …
137
dell’Isola, F., Seppecher, P., Spagnuolo, M., Barchiesi, E., Hils, F., Lekszycki, T., et al. (2019b).
Advances in pantographic structures: design, manufacturing, models, experiments and image
analyses. Continuum Mechanics and Thermodynamics, 31(4), 1231–1282.
Dubrovin, V. M., & Butina, T. A. (2015). Modeling the dynamic stability of a cylindrical shell at
the action of an axial compressing load. Mechanics of Composite Materials, 6, 46–57.
Jansen, E. L. (2005). Dynamic stability problems of anisotropic cylindrical shells via a simplified
analysis. Nonlinear Dynamics, 39, 349–367.
Manevich, L. I., Mikhailov, G. V., Pavlenko, I. D., & Prokopalo, E. F. (1977). Research on the
stability of shells at a joint action of static and dynamic loads. Prikl Mekh XIII, 1, 27–32.
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).
Placidi, L., Giorgio, I., Della, Corte A., & Scerrato, D. (2015). Euromech 563 Cisterna di Latina
17–21 March 2014 Generalized continua and their applications to the design of composites and
metamaterials: a review of presentations and discussions. Mathematics & Mechanics of Solids.
https://doi.org/10.1177/1081286515576948.
Rahali, Y., Giorgio, I., Ganghoffer, & J.-F., dell’Isola, F. (2015). Homogenization à la Piola produces
second gradient continuum models for linear pantographic lattices. International Journal of
Engineering Science, 97.
Rahman, T., Jansen, E. L., & Gürdal, Z. (2011). Dynamic buckling analysis of composite cylindrical
shells using a finite element based perturbation method. Nonlinear Dynamics, 66(3), 389–401.
Sciarra, G., dell’Isola, F., & Coussy, O. (2007). Second gradient poromechanics. International
Journal of Solids and Structures, 44(20).
Shapovalov, L. A. (1997). Consideration of transverse compression in equations of the nonlinear
dynamics of shells. Izv RAN, Mekh Tverd Tela, 3, 156–168.
Skurlatov, E. D. (1972). An experimental study on the behaviour of cylindrical shells at dynamic
loadings. Problemy prochnosti, 9, 79–83.
Smirnov, I. V., Lamzin, D. A., Konstantinov, A. Y., Bragov, A. M., & Lomunov, A. K. (2018). A
unified experimental-theoretical approach to predict the critical stress characteristics of failure
and yielding under quasi-static and dynamic loading. Engineering Fracture Mechanics. https://
doi.org/10.1016/j.engfracmech.2018.10.023.
Vasil’yev, V. V. (1988). Mechanics of structures from composite materials (Vol. 272). Moscow;
Mashinostroenie [in Russian].
Volkov, I. A., Igumnov, L. A., Litvinchuk, S. Y., & Vorobtsov, I. V. (2018). Modeling dynamic deformation and failure of thin-walled structures under explosive loading. EPJ Web of Conferences,
183(03016) (2018) DYMAT 2018. https://doi.org/10.1051/epjconf/201818303016.
137
dell’Isola, F., Seppecher, P., Spagnuolo, M., Barchiesi, E., Hils, F., Lekszycki, T., et al. (2019b).
Advances in pantographic structures: design, manufacturing, models, experiments and image
analyses. Continuum Mechanics and Thermodynamics, 31(4), 1231–1282.
Dubrovin, V. M., & Butina, T. A. (2015). Modeling the dynamic stability of a cylindrical shell at
the action of an axial compressing load. Mechanics of Composite Materials, 6, 46–57.
Jansen, E. L. (2005). Dynamic stability problems of anisotropic cylindrical shells via a simplified
analysis. Nonlinear Dynamics, 39, 349–367.
Manevich, L. I., Mikhailov, G. V., Pavlenko, I. D., & Prokopalo, E. F. (1977). Research on the
stability of shells at a joint action of static and dynamic loads. Prikl Mekh XIII, 1, 27–32.
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).
Placidi, L., Giorgio, I., Della, Corte A., & Scerrato, D. (2015). Euromech 563 Cisterna di Latina
17–21 March 2014 Generalized continua and their applications to the design of composites and
metamaterials: a review of presentations and discussions. Mathematics & Mechanics of Solids.
https://doi.org/10.1177/1081286515576948.
Rahali, Y., Giorgio, I., Ganghoffer, & J.-F., dell’Isola, F. (2015). Homogenization à la Piola produces
second gradient continuum models for linear pantographic lattices. International Journal of
Engineering Science, 97.
Rahman, T., Jansen, E. L., & Gürdal, Z. (2011). Dynamic buckling analysis of composite cylindrical
shells using a finite element based perturbation method. Nonlinear Dynamics, 66(3), 389–401.
Sciarra, G., dell’Isola, F., & Coussy, O. (2007). Second gradient poromechanics. International
Journal of Solids and Structures, 44(20).
Shapovalov, L. A. (1997). Consideration of transverse compression in equations of the nonlinear
dynamics of shells. Izv RAN, Mekh Tverd Tela, 3, 156–168.
Skurlatov, E. D. (1972). An experimental study on the behaviour of cylindrical shells at dynamic
loadings. Problemy prochnosti, 9, 79–83.
Smirnov, I. V., Lamzin, D. A., Konstantinov, A. Y., Bragov, A. M., & Lomunov, A. K. (2018). A
unified experimental-theoretical approach to predict the critical stress characteristics of failure
and yielding under quasi-static and dynamic loading. Engineering Fracture Mechanics. https://
doi.org/10.1016/j.engfracmech.2018.10.023.
Vasil’yev, V. V. (1988). Mechanics of structures from composite materials (Vol. 272). Moscow;
Mashinostroenie [in Russian].
Volkov, I. A., Igumnov, L. A., Litvinchuk, S. Y., & Vorobtsov, I. V. (2018). Modeling dynamic deformation and failure of thin-walled structures under explosive loading. EPJ Web of Conferences,
183(03016) (2018) DYMAT 2018. https://doi.org/10.1051/epjconf/201818303016.