18 A Plausible Description of Continuum …
373
Andreaus, U., Giorgio, I., & Madeo, A. (2015). Modeling of the interaction between bone tissue and
resorbable biomaterial as linear elastic materials with voids. Z. Für Angew. Math. Phys., 66(1),
209–237.
Andreaus, U., & Placidi, L. (2013). At the origins and in the vanguard of peri-dynamics, nonlocal and higher gradient continuum mechanics. An underestimated and still topical contribution
of Gabrio Piola. ArXiv Prepr. ArXiv13105599 [Online]. Available at: http://arxiv.org/abs/1310.
5599. Consultato: 17-gen-2014.
Andreaus, U., Spagnuolo, M., Lekszycki, T., & Eugster, S. R. (2018). A Ritz approach for the
static analysis of planar pantographic structures modeled with nonlinear Euler–Bernoulli beams.
Contin. Mech. Thermodyn., 30(5), 1103–1123.
Auffray, N., dell’Isola, F., Eremeyev, V. A., Madeo, A., & Rosi, G. (2015). Analytical continuum
mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary
fluids. Math. Mech. Solids, 20(4), 375–417.
Barchiesi, E., Spagnuolo, M., & Placidi, L. (2018). Mechanical metamaterials: A state of the art.
Math. Mech. Solids, 24(1), 212–234.
Battista, A., Rosa, L., dell’Erba, R., & Greco, L. (2016). Numerical investigation of a particle system
compared with first and second gradient continua: Deformation and fracture phenomena. Math.
Mech. Solids, p. 1081286516657889.
Bender, J., Koschier, D., Charrier, P., & Weber, D. (2014). Position-based simulation of continuous
materials. Comput. Graph, 44, 1–10.
Bender, J., Müller, M., & Macklin, M. (2015). Position-based simulation methods in computer
graphics. In Eurographics (Tutorials) [Online]. Available at: https://www.researchgate.net/pro
file/Jan_Bender/publication/274940214_Position-Based_Simulation_Methods_in_Computer_
Graphics/links/552cc4a40cf29b22c9c466df/Position-Based-Simulation-Methods-in-ComputerGraphics.pdf. Consultato: 06-set-2017.
Berezovski, A., Giorgio, I., & Corte, A. D. (2016). Interfaces in micromorphic materials: Wave
transmission and reflection with numerical simulations. Math. Mech. Solids, 21(1), 37–51.
Bilotta, A., & Turco, E. (2009). A numerical study on the solution of the Cauchy problem in
elasticity. Int. J. Solids Struct., 46(25–26), 4451–4477.
Boutin, C., Giorgio, I., & Placidi, L. (2017). Linear pantographic sheets: Asymptotic micro-macro
models identification. Math. Mech. Complex Syst., 5(2), 127–162.
Bückmann, T., et al. (2012). Tailored 3D mechanical metamaterials made by dip-in direct-laserwriting optical lithography. Adv. Mater., 24(20), 2710–2714.
Carcaterra, A., Dell’Isola, F., Esposito, R., & Pulvirenti, M. (2015). Macroscopic description of
microscopically strongly inhomogenous systems: A mathematical basis for the synthesis of higher
gradients metamaterials. Arch. Ration. Mech. Anal., 218(3), 1239–1262.
Cazzani, A., Stochino, F., & Turco, E. (2016). An analytical assessment of finite element and
isogeometric analyses of the whole spectrum of Timoshenko beams. ZAMM-Journal Appl. Math.
Mech. Für Angew. Math. Mech., 96(10), 1220–1244.
Cecchi, A., & Rizzi, N. L. (2001). Heterogeneous elastic solids: A mixed homogenizationrigidification technique. Int. J. Solids Struct., 38(1), 29–36.
Chang, C. S., & Misra, A. (1990). Application of uniform strain theory to heterogeneous granular
solids. J. Eng. Mech., 116(10), 2310–2328.
Contrafatto, L., Cuomo, M., & Fazio, F. (2012). An enriched finite element for crack opening and
rebar slip in reinforced concrete members. Int. J. Fract., 178(1–2), 33–50.
Cuomo, M., Dell’Isola, F., Greco, L., & Rizzi, N. L. (2017). First versus second gradient energies
for planar sheets with two families of inextensible fibres: investigation on deformation boundary
layers, discontinuities and geometrical instabilities. Compos. Part B Eng., 115, 423–448.
Cuomo, M., & Greco, L. (2012). Isogeometric Analysis of Space Rods: Considerations on Stress
Locking (pp. 5094–5112) [Online]. Available at: http://www.scopus.com/inward/record.url?eid=
2-s2.0-84871627441&partnerID=40&md5=48d09dd7e5493bafe0ef2bb10904d094.
373
Andreaus, U., Giorgio, I., & Madeo, A. (2015). Modeling of the interaction between bone tissue and
resorbable biomaterial as linear elastic materials with voids. Z. Für Angew. Math. Phys., 66(1),
209–237.
Andreaus, U., & Placidi, L. (2013). At the origins and in the vanguard of peri-dynamics, nonlocal and higher gradient continuum mechanics. An underestimated and still topical contribution
of Gabrio Piola. ArXiv Prepr. ArXiv13105599 [Online]. Available at: http://arxiv.org/abs/1310.
5599. Consultato: 17-gen-2014.
Andreaus, U., Spagnuolo, M., Lekszycki, T., & Eugster, S. R. (2018). A Ritz approach for the
static analysis of planar pantographic structures modeled with nonlinear Euler–Bernoulli beams.
Contin. Mech. Thermodyn., 30(5), 1103–1123.
Auffray, N., dell’Isola, F., Eremeyev, V. A., Madeo, A., & Rosi, G. (2015). Analytical continuum
mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary
fluids. Math. Mech. Solids, 20(4), 375–417.
Barchiesi, E., Spagnuolo, M., & Placidi, L. (2018). Mechanical metamaterials: A state of the art.
Math. Mech. Solids, 24(1), 212–234.
Battista, A., Rosa, L., dell’Erba, R., & Greco, L. (2016). Numerical investigation of a particle system
compared with first and second gradient continua: Deformation and fracture phenomena. Math.
Mech. Solids, p. 1081286516657889.
Bender, J., Koschier, D., Charrier, P., & Weber, D. (2014). Position-based simulation of continuous
materials. Comput. Graph, 44, 1–10.
Bender, J., Müller, M., & Macklin, M. (2015). Position-based simulation methods in computer
graphics. In Eurographics (Tutorials) [Online]. Available at: https://www.researchgate.net/pro
file/Jan_Bender/publication/274940214_Position-Based_Simulation_Methods_in_Computer_
Graphics/links/552cc4a40cf29b22c9c466df/Position-Based-Simulation-Methods-in-ComputerGraphics.pdf. Consultato: 06-set-2017.
Berezovski, A., Giorgio, I., & Corte, A. D. (2016). Interfaces in micromorphic materials: Wave
transmission and reflection with numerical simulations. Math. Mech. Solids, 21(1), 37–51.
Bilotta, A., & Turco, E. (2009). A numerical study on the solution of the Cauchy problem in
elasticity. Int. J. Solids Struct., 46(25–26), 4451–4477.
Boutin, C., Giorgio, I., & Placidi, L. (2017). Linear pantographic sheets: Asymptotic micro-macro
models identification. Math. Mech. Complex Syst., 5(2), 127–162.
Bückmann, T., et al. (2012). Tailored 3D mechanical metamaterials made by dip-in direct-laserwriting optical lithography. Adv. Mater., 24(20), 2710–2714.
Carcaterra, A., Dell’Isola, F., Esposito, R., & Pulvirenti, M. (2015). Macroscopic description of
microscopically strongly inhomogenous systems: A mathematical basis for the synthesis of higher
gradients metamaterials. Arch. Ration. Mech. Anal., 218(3), 1239–1262.
Cazzani, A., Stochino, F., & Turco, E. (2016). An analytical assessment of finite element and
isogeometric analyses of the whole spectrum of Timoshenko beams. ZAMM-Journal Appl. Math.
Mech. Für Angew. Math. Mech., 96(10), 1220–1244.
Cecchi, A., & Rizzi, N. L. (2001). Heterogeneous elastic solids: A mixed homogenizationrigidification technique. Int. J. Solids Struct., 38(1), 29–36.
Chang, C. S., & Misra, A. (1990). Application of uniform strain theory to heterogeneous granular
solids. J. Eng. Mech., 116(10), 2310–2328.
Contrafatto, L., Cuomo, M., & Fazio, F. (2012). An enriched finite element for crack opening and
rebar slip in reinforced concrete members. Int. J. Fract., 178(1–2), 33–50.
Cuomo, M., Dell’Isola, F., Greco, L., & Rizzi, N. L. (2017). First versus second gradient energies
for planar sheets with two families of inextensible fibres: investigation on deformation boundary
layers, discontinuities and geometrical instabilities. Compos. Part B Eng., 115, 423–448.
Cuomo, M., & Greco, L. (2012). Isogeometric Analysis of Space Rods: Considerations on Stress
Locking (pp. 5094–5112) [Online]. Available at: http://www.scopus.com/inward/record.url?eid=
2-s2.0-84871627441&partnerID=40&md5=48d09dd7e5493bafe0ef2bb10904d094.