18 A Plausible Description of Continuum …
375
Dell’Isola, F., Sciarra, G., & Vidoli, S. (2009). Generalized hooke’s law for isotropic second gradient
materials. Proc. R. Soc. Math. Phys. Eng. Sci., 465(2107), 2177–2196.
Dell’Isola, F., & Seppecher, P. (1995). The Relationship Between Edge Contact Forces, Double
Forces and Interstitial Working Allowed by the Principle of Virtual Power.
Dell’isola, F., & Seppecher, P. (1997). Edge contact forces and quasi-balanced power. Meccanica,
32(1), 33–52.
Dell’Isola, F., Seppecher, P., & Corte, A. D. (2015). The postulations á la D’Alembert and á la
Cauchy for higher gradient continuum theories are equivalent: A review of existing results. In
Proc. R. Soc. Math. Phys. Eng. Sci., 471(2183), 20150415.
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”. Z. Angew. Math.
Phys., 63(6), 1119–1141.
Dell’Isola, F., Steigmann, D., & Della Corte, A. (2015). Synthesis of fibrous complex structures:
Designing microstructure to deliver targeted macroscale response. Appl. Mech. Rev., 67(6),
060804.
Della Corte, A., dell’Isola, F., Esposito, R., & Pulvirenti, M. (2017). Equilibria of a clamped Euler
beam (Elastica) with distributed load: Large deformations. Math. Models Methods Appl. Sci.,
27(08), 1391–1421.
Diziol, R., Bender, J., & Bayer, D. (2011). Robust real-time deformation of incompressible surface
meshes. In Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer
Animation, New York, NY, USA (pp. 237–246) [Online]. Available at: http://doi.acm.org/10.
1145/2019406.2019438.
Dong, Y., Zhang, G., Xu, A., & Gan, Y. (2013). Cellular automata model for elastic solid material.
Commun. Theor. Phys., 59(1), 59–67.
Dos Reis, F., & Ganghoffer, J.-F. (2011). Construction of micropolar continua from the homogenization of repetitive planar lattices. In Mechanics of generalized continua (pp. 193–217). Heidelberg:
Springer.
Dos Reis, F., & Ganghoffer, J. F. (2012). Equivalent mechanical properties of auxetic lattices from
discrete homogenization. Comput. Mater. Sci., 51(1), 314–321.
Enakoutsa, K., Corte, A. D., & Giorgio, I. (2016). A model for elastic flexoelectric materials
including strain gradient effects. Math. Mech. Solids, 21(2), 242–254.
Eremeyev, V. A., Ivanova, E. A., & Indeitsev, D. A. (2010). Wave processes in nanostructures
formed by nanotube arrays or nanosize crystals. J. Appl. Mech. Tech. Phys., 51(4), 569–578.
Eremeyev, V. A., Ivanova, E. A., Morozov, N. F., & Solov’ev, A. N. (2006). On the determination
of eigenfrequencies for nanometer-size objects. Doklady Physics, 51, 93–97.
Eremeyev, V. A., Ivanova, E. A., Morozov, N. F., & Strochkov, S. E. (2007). The spectrum of
natural oscillations of an array of micro-or nanospheres on an elastic substrate. Doklady Physics,
52, 699–702.
Eremeyev, V. A., Lebedev, L. P., & Altenbach, H. (2012). Foundations of Micropolar Mechanics.
Springer Science & Business Media.
Eremeyev, V. A., & Pietraszkiewicz, W. (2012). Material symmetry group of the non-linear polarelastic continuum. Int. J. Solids Struct., 49(14), 1993–2005.
Eringen, A. C. (2012). Microcontinuum Field Theories: I. Foundations and Solids. Springer Science
& Business Media.
Ern, A., & Guermond, J.-L. (2013). Theory and Practice Of Finite Elements (vol. 159). Springer
Science & Business Media.
Forest, S. (2009). Micromorphic approach for gradient elasticity, viscoplasticity, and damage. J.
Eng. Mech., 135(3), 117–131.
Forest, S., Cordero, N. M., & Busso, E. P. (2011). First vs. second gradient of strain theory for
capillarity effects in an elastic fluid at small length scales. Comput. Mater. Sci., 50(4), 1299–1304.
Gabriele, S., Rizzi, N. L., & Varano, V. (2014). A one-dimensional nonlinear thin walled beam
model derived from Koiter shell theory. Civ.-Comp Proc. 106.
375
Dell’Isola, F., Sciarra, G., & Vidoli, S. (2009). Generalized hooke’s law for isotropic second gradient
materials. Proc. R. Soc. Math. Phys. Eng. Sci., 465(2107), 2177–2196.
Dell’Isola, F., & Seppecher, P. (1995). The Relationship Between Edge Contact Forces, Double
Forces and Interstitial Working Allowed by the Principle of Virtual Power.
Dell’isola, F., & Seppecher, P. (1997). Edge contact forces and quasi-balanced power. Meccanica,
32(1), 33–52.
Dell’Isola, F., Seppecher, P., & Corte, A. D. (2015). The postulations á la D’Alembert and á la
Cauchy for higher gradient continuum theories are equivalent: A review of existing results. In
Proc. R. Soc. Math. Phys. Eng. Sci., 471(2183), 20150415.
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”. Z. Angew. Math.
Phys., 63(6), 1119–1141.
Dell’Isola, F., Steigmann, D., & Della Corte, A. (2015). Synthesis of fibrous complex structures:
Designing microstructure to deliver targeted macroscale response. Appl. Mech. Rev., 67(6),
060804.
Della Corte, A., dell’Isola, F., Esposito, R., & Pulvirenti, M. (2017). Equilibria of a clamped Euler
beam (Elastica) with distributed load: Large deformations. Math. Models Methods Appl. Sci.,
27(08), 1391–1421.
Diziol, R., Bender, J., & Bayer, D. (2011). Robust real-time deformation of incompressible surface
meshes. In Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer
Animation, New York, NY, USA (pp. 237–246) [Online]. Available at: http://doi.acm.org/10.
1145/2019406.2019438.
Dong, Y., Zhang, G., Xu, A., & Gan, Y. (2013). Cellular automata model for elastic solid material.
Commun. Theor. Phys., 59(1), 59–67.
Dos Reis, F., & Ganghoffer, J.-F. (2011). Construction of micropolar continua from the homogenization of repetitive planar lattices. In Mechanics of generalized continua (pp. 193–217). Heidelberg:
Springer.
Dos Reis, F., & Ganghoffer, J. F. (2012). Equivalent mechanical properties of auxetic lattices from
discrete homogenization. Comput. Mater. Sci., 51(1), 314–321.
Enakoutsa, K., Corte, A. D., & Giorgio, I. (2016). A model for elastic flexoelectric materials
including strain gradient effects. Math. Mech. Solids, 21(2), 242–254.
Eremeyev, V. A., Ivanova, E. A., & Indeitsev, D. A. (2010). Wave processes in nanostructures
formed by nanotube arrays or nanosize crystals. J. Appl. Mech. Tech. Phys., 51(4), 569–578.
Eremeyev, V. A., Ivanova, E. A., Morozov, N. F., & Solov’ev, A. N. (2006). On the determination
of eigenfrequencies for nanometer-size objects. Doklady Physics, 51, 93–97.
Eremeyev, V. A., Ivanova, E. A., Morozov, N. F., & Strochkov, S. E. (2007). The spectrum of
natural oscillations of an array of micro-or nanospheres on an elastic substrate. Doklady Physics,
52, 699–702.
Eremeyev, V. A., Lebedev, L. P., & Altenbach, H. (2012). Foundations of Micropolar Mechanics.
Springer Science & Business Media.
Eremeyev, V. A., & Pietraszkiewicz, W. (2012). Material symmetry group of the non-linear polarelastic continuum. Int. J. Solids Struct., 49(14), 1993–2005.
Eringen, A. C. (2012). Microcontinuum Field Theories: I. Foundations and Solids. Springer Science
& Business Media.
Ern, A., & Guermond, J.-L. (2013). Theory and Practice Of Finite Elements (vol. 159). Springer
Science & Business Media.
Forest, S. (2009). Micromorphic approach for gradient elasticity, viscoplasticity, and damage. J.
Eng. Mech., 135(3), 117–131.
Forest, S., Cordero, N. M., & Busso, E. P. (2011). First vs. second gradient of strain theory for
capillarity effects in an elastic fluid at small length scales. Comput. Mater. Sci., 50(4), 1299–1304.
Gabriele, S., Rizzi, N. L., & Varano, V. (2014). A one-dimensional nonlinear thin walled beam
model derived from Koiter shell theory. Civ.-Comp Proc. 106.