Non-linear homogenization of polymer composites with porous inclusions
نویسندگان
چکیده
We homogenize the mechanical properties of a two-phase polymer composite, made polyurethane matrix containing porous spherical silicone-based inclusions, and designed to be used for wave control as local resonant insulator. First we consider homogenized energy an expression obtained by explicit method. Then, couple inclusions means second-order tangent Direct finite element simulations allow some comparisons with available experiments.
منابع مشابه
Toughening by Crack Deflection in the Homogenization of Brittle Composites with Soft Inclusions
We present a simple example of toughening mechanism in the homogenization of composites with soft inclusions, produced by crack deflection at microscopic level. We show that the mechanism is connected to the irreversibility of the crack process. Because of that it cannot be detected through the standard homogenization tool of the Γ-convergence.
متن کاملA Bridging Mechanism in the Homogenization of Brittle Composites with Soft Inclusions
We provide a homogenisation result for the energy-functional associated with a purely brittle composite whose microstructure is characterised by soft periodic inclusions embedded in a stiffer matrix. We show that the two constituents as above can be suitably arranged on a microscopic scale ε to obtain, in the limit as ε tends to zero, a homogeneous macroscopic energy-functional explicitly depen...
متن کاملHomogenization of Elastic Media with Gaseous Inclusions
We study the asymptotic behavior of a system modeling a composite material made of an elastic periodically perforated support, with period ε > 0, and a perfect gas placed in each of these perforations, as ε goes to zero. The model we use is linear corresponding to deformations around a reference configuration. We apply both two-scale asymptotic expansion and two-scale convergence methods in ord...
متن کاملon the effect of linear & non-linear texts on students comprehension and recalling
چکیده ندارد.
15 صفحه اولHomogenization of Elastic Dielectric Composites
This paper presents the derivation of the homogenized equations for the macroscopic 5 response of elastic dielectric composites containing space charges (i.e., electric source terms) that 6 oscillate rapidly at the length scale of the microstructure. The derivation is carried out in the setting 7 of small deformations and moderate electric fields by means of a two-scale asymptotic analysis. 8 T...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mechanics of Materials
سال: 2022
ISSN: ['0167-6636', '1872-7743']
DOI: https://doi.org/10.1016/j.mechmat.2022.104276