3 On the Spectrum of Relaxation Times in Coupled Diffusion …
55
dell’Isola, F., Cuomo, M., Greco, L., & Della Corte, A. (2017). Bias extension test for pantographic
sheets: Numerical simulations based on second gradient shear energies. Journal of Engineering
Mathematics.
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., 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.
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.
Knyazeva, A. G. (2003). Cross effects in solid media with diffusion. Journal of Applied Mechanics
and Technical Physics, 44(3), 373–384.
Knyazeva, A. G. (2004). Model of medium with diffusion and internal surfaces and some applied
problems. Materials Physics and Mechanics, 7(1), 29–36.
Knyazeva, A. G. (2005). Diffusion by the vacancy mechanism in the materials with the large number
of internal surfaces. Chemistry for Sustainable Development, 2, 233–242.
Mehrer, H. (2007). Diffusion in solids. Springer Series in Solid-State Sciences (Vol. 155, 637 p.).
Heidelberg: Springer.
Nazarov, A. V., & Gurov, K. P. (1974). The kinetic theory of interdiffusion in binary system.
Concentration of vacancies during mutual diffusion. The Physics of Metals and Metallography,
37, 496–503.
Paul, A., Laurila, T., Vuorinen, V., & Divinski, S. V. (2014). Thermodynamics, diffusion and the
Kirkendall effect in solids (530 p.) Springer.
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., Andreaus, U., & Giorgio, I. (2017). Identification of two-dimensional pantographic
structure via a linear D4 orthotropic second gradient elastic model. Journal of Engineering
Mathematics.
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.
Sciarra, G., dell’Isola, F., & Coussy, O. (2007). Second gradient poromechanics. International
Journal of Solids and Structures, 44(20).
Stephenson, G. B. (1988). Deformation during interdiffusion. Acta Metallurgica, 36, 2663–2683.
Straumal, B. B., Baretzky, B., Mazilkin, A. A., Phillippa, F., Kogtenkova, O. A., Volkov, M. N., &
Valiev, R. Z. (2004). Formation of nanograined structure and decomposition of supersaturated
solid solution during high pressure torsion of Al–Zn and Al–Mg alloys. Acta Materialia, 52(15),
4469–4478.
55
dell’Isola, F., Cuomo, M., Greco, L., & Della Corte, A. (2017). Bias extension test for pantographic
sheets: Numerical simulations based on second gradient shear energies. Journal of Engineering
Mathematics.
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., 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.
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.
Knyazeva, A. G. (2003). Cross effects in solid media with diffusion. Journal of Applied Mechanics
and Technical Physics, 44(3), 373–384.
Knyazeva, A. G. (2004). Model of medium with diffusion and internal surfaces and some applied
problems. Materials Physics and Mechanics, 7(1), 29–36.
Knyazeva, A. G. (2005). Diffusion by the vacancy mechanism in the materials with the large number
of internal surfaces. Chemistry for Sustainable Development, 2, 233–242.
Mehrer, H. (2007). Diffusion in solids. Springer Series in Solid-State Sciences (Vol. 155, 637 p.).
Heidelberg: Springer.
Nazarov, A. V., & Gurov, K. P. (1974). The kinetic theory of interdiffusion in binary system.
Concentration of vacancies during mutual diffusion. The Physics of Metals and Metallography,
37, 496–503.
Paul, A., Laurila, T., Vuorinen, V., & Divinski, S. V. (2014). Thermodynamics, diffusion and the
Kirkendall effect in solids (530 p.) Springer.
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., Andreaus, U., & Giorgio, I. (2017). Identification of two-dimensional pantographic
structure via a linear D4 orthotropic second gradient elastic model. Journal of Engineering
Mathematics.
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.
Sciarra, G., dell’Isola, F., & Coussy, O. (2007). Second gradient poromechanics. International
Journal of Solids and Structures, 44(20).
Stephenson, G. B. (1988). Deformation during interdiffusion. Acta Metallurgica, 36, 2663–2683.
Straumal, B. B., Baretzky, B., Mazilkin, A. A., Phillippa, F., Kogtenkova, O. A., Volkov, M. N., &
Valiev, R. Z. (2004). Formation of nanograined structure and decomposition of supersaturated
solid solution during high pressure torsion of Al–Zn and Al–Mg alloys. Acta Materialia, 52(15),
4469–4478.