Exact asymptotic relations for the effective response of linear viscoelastic heterogeneous media
نویسندگان
چکیده
منابع مشابه
Overall response of viscoelastic composites and polycrystals: exact asymptotic relations and approximate estimates
This paper is devoted to the effective behavior of linear viscoelastic heterogeneous materials with a particular emphasis on their transient response. First, two new asymptotic relations for the overall creep function are derived at short and large times. They are related to the retardation spectrum of the composite and involve second-order moments per phase of the stress field for the purely e...
متن کاملExact relations for effective moduli of polycrystals
Composite materials play an increasingly important role in our everyday life and technology from skis and golf clubs to sensors and actuators in high tech components. By “composite” we mean a perfectly bonded homogeneous mixture of two or more materials on a length scale much smaller than human size and much larger than interatomic distances. The physical properties of a composite (conducting, ...
متن کاملPartial exact controllability for the linear thermo-viscoelastic model
The problem of partial exact controllability for linear thermo-viscoelasticity is considered. Using classical multiplier techniques, a boundary observability inequality is established under smallness restrictions on coupling parameters and relaxation functions. Then, via the Hilbert Uniqueness method, the result of partial exact controllability is obtained with Dirichlet boundary controls actin...
متن کاملEffective toughness of heterogeneous media
We propose a versatile approach to computing the effective toughness of heterogeneous media. This approach focusses on the material property independent of the details of the boundary condition. The key idea is what we call a surfing boundary condition, where a steadily propagating crack opening displacement is applied as a boundary condition to a large domain while the crack set is allowed to ...
متن کاملAsymptotic spreading in heterogeneous diffusive excitable media
We establish propagation and spreading properties for nonnegative solutions of non homogeneous reaction-diffusion equations of the type: ∂tu−∇ · (A(t, x)∇u) + q(t, x) · ∇u = f(t, x, u) with compactly supported initial conditions at t = 0. Here, A, q, f have a general dependence in t ∈ R+ and x ∈ RN . We establish properties of families of propagation sets which are defined as families of subset...
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: Comptes Rendus Mécanique
سال: 2017
ISSN: 1631-0721
DOI: 10.1016/j.crme.2017.09.001