The Curious Case of 2D Isotropic Incompressible Neo-Hookean Composites
Tóm tắt
Từ khóa
Tài liệu tham khảo
Braides, A.: Homogenization of some almost periodic coercive functional. Accad. Naz. Sci. XL 103, 313–322 (1985)
Müller, S.: Homogenization of nonconvex integral functionals and cellular elastic materials. Arch. Ration. Mech. Anal. 99, 189–212 (1987)
Braides, A., Defranceschi, A.: Homogenization of Multiple Integrals. Springer, Berlin (1999)
Lopez-Pamies, O., Idiart, M.I.: Fiber-reinforced hyperelastic solids: a realizable homogenization constitutive theory. J. Eng. Math. 68, 57–83 (2010)
deBotton, G.: Transversely isotropic sequentially laminated composites in finite elasticity. J. Mech. Phys. Solids 53, 1334–1361 (2005)
Lopez-Pamies, O.: An exact result for the macroscopic response of particle-reinforced Neo-Hookean solids. J. Appl. Mech. 77, 021016 (2010)
Moraleda, J., Segurado, J., Llorca, J.: Finite deformation of incompressible fiber-reinforced elastomers: a computational micromechanics approach. J. Mech. Phys. Solids 57, 1596–1613 (2009)
Michel, J.C., Lopez-Pamies, O., Ponte Castañeda, P., Triantafyllidis, N.: Microscopic and macroscopic instabilities in finitely strained fiber-reinforced elastomers. J. Mech. Phys. Solids 58, 1776–1803 (2010)
Lefèvre, V., Danas, K., Lopez-Pamies, O.: A general result for the magnetoelastic response of isotropic suspensions of iron and ferrofluid particles in rubber, with applications to spherical and cylindrical specimens. J. Mech. Phys. Solids 107, 343–364 (2017)
Willis, J.R.: The overall elastic response of composite materials. J. Appl. Mech. 50, 1202–1209 (1983)
Kohn, R.V., Strang, G.: Optimal design and relaxation of variational problems, II. Commun. Pure Appl. Math. 39, 139–182 (1986)
Gusev, A.A.: Representative volume element size for elastic composites: a numerical study. J. Mech. Phys. Solids 45, 1449–1459 (1997)
Michel, J.C., Moulinec, H., Suquet, P.: Effective properties of composite materials with periodic microstructure: a computational approach. Comput. Methods Appl. Mech. Eng. 172, 109–143 (1999)
Lopez-Pamies, O., Goudarzi, T., Danas, K.: The nonlinear elastic response of suspensions of rigid inclusions in rubber: II — a simple explicit approximation for finite-concentration suspensions. J. Mech. Phys. Solids 61, 19–37 (2013)
Lubachevsky, B.D., Stillinger, F.H.: Geometric properties of random disk packings. J. Stat. Phys. 60, 561–583 (1990)
Geuzaine, C., Remacle, J-F.: Gmsh: a 3-D finite element mesh generator with built-in pre- and post-processing facilities. Int. J. Numer. Methods Eng. 79, 1309–1331 (2009)
Lefèvre, V., Lopez-Pamies, O.: Nonlinear electroelastic deformations of dielectric elastomer composites: II — non-Gaussian elastic dielectrics. J. Mech. Phys. Solids 99, 438–470 (2017)