15 Homogenization-Based Mechanical Behavior Modeling of Composites …
275
Chen, J., Pan, E., & Chen, H. (2007). Wave propagation in magneto-electro-elastic multilayered
plates. International Journal of Solids and Structures, 44, 1073–1085.
Chen, W. Q., Lee, K. Y., & Ding, H. J. (2004). General solution for transversely isotropic magnetoelectro-thermo-elasticity and the potential theory method. International Journal of Engineering
Science, 42, 1361–1379.
Chen, Z., Jeffrey, R. G., & Pandurangan, V. (2018). The far-field deformation caused by a hydraulic
fracture in an inhomogeneous elastic half-space. International Journal of Solids and Structures,
130, 220–231.
Chiu, Y. P. (1977). On the stress field due to initial strains in a cuboid surrounded by an infinite
elastic space. Journal of Applied Mechanics, 12, 587–590.
Christensen, R. M. (1979a). Isotropic properties of platelet reinforced media. Journal of Engineering
Materials and Technology, 101(3), 299–303.
Christensen, R. M. (1979b). Mechanics of composite materials. New York: Wiley.
Christensen, R. M., & Lo, K. H. (1979). Solutions for effective shear properties in 3 phase sphere
and cylinder models. Journal of the Mechanics and Physics of Solids, 27(4), 315–330.
Clyne, T. W., Markaki, A. E., & Tan, J. C. (2005). Mechanical and magnetic properties of metal
fibre networks with and without a polymeric matrix. Composites Science and Technology, 65,
2492–2499.
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. Composites Part B Engineering, 115, 423–
448.
Delannay, L., Lani, F., Pardoen, T., & Delannay, F. (2006). Mean field modeling of the plastic
behaviour of co-continuous dual-phase alloys with strong morphological anisotropy. International
Journal of Plasticity, 22, 2327–2345.
dell’Isola, F., Lekszycki, T., Pawlikowski, M., Grygoruk, R., & Greco, L. (2015). Designing a
light fabric metamaterial being highly macroscopically tough under directional extension: First
experimental evidence. Zeitschrift für Angewandte Mathematik und Physik, 66(6), 3473–3498.
dell’Isola, F., Giorgio, I., Pawlikowski, M., & Rizzi, N. L. (2016). Large deformations of
planar extensible beams and pantographic lattices: Heuristic homogenization, experimental and
numerical examples of equilibrium. Proceedings of the Royal Society London A, 472(2185),
20150790.
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, 103(1), 127–157.
dell’Isola, F., Seppecher, P., Spagnuolo, M., et al. (2019). Advances in pantographic structures:
Design, manufacturing, models, experiments and image analyses. Continuum Mechanics and
Thermodynamics, 31, 1231–1282.
Drugan, W. J., & Willis, J. R. (1996). A micro-mechanics-based non local constitutive equation and
estimate of representative volume element size for elastic composites. Journal of the Mechanics
and Physics of Solids, 44(4), 497–524.
Eremeyev, V. A., dell’Isola, F., Boutin, C., & Steigmann, D. (2018). Linear pantographic sheets:
Existence and uniqueness of weak solutions. Journal of Elasticity, 132(2), 175–196.
Eremeyev, V. A., Alzahrani, F. S., Cazzani, A., dell’Isola, F., Hayat, T., Turco, E., et al. (2019).
On existence and uniqueness of weak solutions for linear pantographic beam lattices models.
Continuum Mechanics and Thermodynamics, 31(6), 1843–1861.
Eremeyev, V. A., & Turco, E. (2020). Enriched buckling for beam-lattice metamaterials. Mechanics
Research Communications, 103, 103458.
Eremeyev, V. A., Skrzat, A., & Stachowicz, F. (2016). On finite element computations of contact
problems in micropolar elasticity. Advances in Materials Science and Engineering. https://doi.
org/10.1155/2016/9675604.
Eremeyev, V. A. (2018). On the material symmetry group for micromorphic media with applications
to granular materials. Mechanics Research Communications, 94, 8–12.
275
Chen, J., Pan, E., & Chen, H. (2007). Wave propagation in magneto-electro-elastic multilayered
plates. International Journal of Solids and Structures, 44, 1073–1085.
Chen, W. Q., Lee, K. Y., & Ding, H. J. (2004). General solution for transversely isotropic magnetoelectro-thermo-elasticity and the potential theory method. International Journal of Engineering
Science, 42, 1361–1379.
Chen, Z., Jeffrey, R. G., & Pandurangan, V. (2018). The far-field deformation caused by a hydraulic
fracture in an inhomogeneous elastic half-space. International Journal of Solids and Structures,
130, 220–231.
Chiu, Y. P. (1977). On the stress field due to initial strains in a cuboid surrounded by an infinite
elastic space. Journal of Applied Mechanics, 12, 587–590.
Christensen, R. M. (1979a). Isotropic properties of platelet reinforced media. Journal of Engineering
Materials and Technology, 101(3), 299–303.
Christensen, R. M. (1979b). Mechanics of composite materials. New York: Wiley.
Christensen, R. M., & Lo, K. H. (1979). Solutions for effective shear properties in 3 phase sphere
and cylinder models. Journal of the Mechanics and Physics of Solids, 27(4), 315–330.
Clyne, T. W., Markaki, A. E., & Tan, J. C. (2005). Mechanical and magnetic properties of metal
fibre networks with and without a polymeric matrix. Composites Science and Technology, 65,
2492–2499.
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. Composites Part B Engineering, 115, 423–
448.
Delannay, L., Lani, F., Pardoen, T., & Delannay, F. (2006). Mean field modeling of the plastic
behaviour of co-continuous dual-phase alloys with strong morphological anisotropy. International
Journal of Plasticity, 22, 2327–2345.
dell’Isola, F., Lekszycki, T., Pawlikowski, M., Grygoruk, R., & Greco, L. (2015). Designing a
light fabric metamaterial being highly macroscopically tough under directional extension: First
experimental evidence. Zeitschrift für Angewandte Mathematik und Physik, 66(6), 3473–3498.
dell’Isola, F., Giorgio, I., Pawlikowski, M., & Rizzi, N. L. (2016). Large deformations of
planar extensible beams and pantographic lattices: Heuristic homogenization, experimental and
numerical examples of equilibrium. Proceedings of the Royal Society London A, 472(2185),
20150790.
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, 103(1), 127–157.
dell’Isola, F., Seppecher, P., Spagnuolo, M., et al. (2019). Advances in pantographic structures:
Design, manufacturing, models, experiments and image analyses. Continuum Mechanics and
Thermodynamics, 31, 1231–1282.
Drugan, W. J., & Willis, J. R. (1996). A micro-mechanics-based non local constitutive equation and
estimate of representative volume element size for elastic composites. Journal of the Mechanics
and Physics of Solids, 44(4), 497–524.
Eremeyev, V. A., dell’Isola, F., Boutin, C., & Steigmann, D. (2018). Linear pantographic sheets:
Existence and uniqueness of weak solutions. Journal of Elasticity, 132(2), 175–196.
Eremeyev, V. A., Alzahrani, F. S., Cazzani, A., dell’Isola, F., Hayat, T., Turco, E., et al. (2019).
On existence and uniqueness of weak solutions for linear pantographic beam lattices models.
Continuum Mechanics and Thermodynamics, 31(6), 1843–1861.
Eremeyev, V. A., & Turco, E. (2020). Enriched buckling for beam-lattice metamaterials. Mechanics
Research Communications, 103, 103458.
Eremeyev, V. A., Skrzat, A., & Stachowicz, F. (2016). On finite element computations of contact
problems in micropolar elasticity. Advances in Materials Science and Engineering. https://doi.
org/10.1155/2016/9675604.
Eremeyev, V. A. (2018). On the material symmetry group for micromorphic media with applications
to granular materials. Mechanics Research Communications, 94, 8–12.