An Exact Result for the Macroscopic Response of Particle - Reinforced Neo - Hookean
نویسنده
چکیده
Making use of an iterated homogenization procedure in finite elasticity, an exact and explicit result is derived for the macroscopic response of Neo-Hookean solids reinforced by a random and isotropic distribution of rigid particles. The key theoretical and practical features of the result are discussed in light of comparisons with recent approximations and full-field simulations. DOI: 10.1115/1.3197444
منابع مشابه
Neo-hookean Fiber Composites Undergoing Finite Out-of-plane Shear Deformations
The response of a neo-Hookean fiber composite undergoing finite out-of-plane shear deformation is examined. To this end an explicit close form solution for the out-of-plane shear response of a cylindrical composite element is introduced. We find that the overall response of the cylindrical composite element can be characterized by a fictitious homogeneous neo-Hookean material. Accordingly, this...
متن کاملHomogenized estimates for soft fiber-composites and tissues with two families of fibers
The macroscopic response of hyperelastic fi ber composites is characterized in terms of the behaviors of their constituting phases. To this end, we make use of a unique representation of the deformation gradient in terms of a set of transversely isotropic invariants. Respectively, these invariants correspond to extension along the fi bers, transverse dilatation, out-of-plane shear along the fi ...
متن کاملInstabilities of Hyperelastic Fiber Composites: Micromechanical Versus Numerical Analyses
Macroscopic instabilities of fiber reinforced composites undergoing large deformations are studied. Analytical predictions for the onset of instability are determined by application of a new variational estimate for the behavior of hyperelastic composites. The resulting, closed-form expressions, are compared with corresponding predictions of finite element simulations. The simulations are perfo...
متن کاملWrinkling Phenomena in Neo-Hookean Film/Substrate Bilayers
Wrinkling modes are determined for a two-layer system comprised of a neo-Hookean film bonded to an infinitely deep neo-Hookean substrate with the entire bilayer undergoing compression. The full range of the film/substrate modulus ratio is considered from the limit of a traction-free homogeneous substrate to very stiff films on compliant substrates. The role of substrate prestretch is considered...
متن کاملA general hyperelastic model for incompressible fiber-reinforced elastomers
This work presents a new constitutive model for the effective response of fiberreinforced elastomers at finite strains. The matrix and fiber phases are assumed to be incompressible, isotropic, hyperelastic solids. Furthermore, the fibers are taken to be perfectly aligned and distributed randomly and isotropically in the transverse plane, leading to overall transversely isotropic behavior for th...
متن کامل