Homogenization of nonlinear visco-elastic composites
نویسندگان
چکیده
منابع مشابه
Homogenization of nonlinear visco-elastic composites
Quasi-static processes in nonlinear visco-elastic materials of solid-type are here represented by the system: σ −B(x) : ∂ε ∂t ∈ β(ε, x), −divσ = f , (∗) coupled with initial and boundary conditions. Here σ denotes the stress tensor, ε the linearized strain tensor, B(x) the viscosity tensor, β(·, x) a (possibly multi-valued) maximal monotone mapping, and f an applied load. Existence and uniquene...
متن کاملHomogenization 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 کاملHomogenization of periodic elastic composites and locally resonant sonic materials
A method for homogenization of an elastic composite with periodic microstructure is presented, focusing on the Floquet-type elastic waves. The resulting homogenized frequency-dependent elasticity and mass density then automatically satisfy the overall conservation laws and by necessity produce the exact dispersion relations. It is also shown that the dispersion relations and the associated fiel...
متن کاملWeakly nonlinear subcritical instability of visco-elastic Poiseuille flow
It is well known that the Poiseuille flow of a visco-elastic polymer fluid between plates or through a tube is linearly stable in the zero Reynolds number limit, although the stability is weak for large Weissenberg numbers (Wi). In this paper, we argue that recent experimental and theoretical work on the instability of visco-elastic fluids in Taylor–Couette cells and numerical work on channel f...
متن کاملMathematical analysis of thermo-visco-elastic models
Motywacją do badań nad równaniami opisującymi odkształcenia termo-lepko-sprężyste jest potrzeba lepszego opisu procesów zachodzących w różnych materiałach oraz zbudowania lepszych modeli ich zachowania pod wpływem działania sił zewnętrznych. Wraz z rozwojem techniki zdobywamy głębszą wiedzę na temat różnych tworzyw. Pozwala nam to na tworzenie coraz bardziej poprawnych modeli opisujących zachow...
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: Journal de Mathématiques Pures et Appliquées
سال: 2008
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2008.02.002