Results 271 to 280 of about 270,577 (317)

A relaxation function with distribution of relaxation times

Physics Letters A, 1970
Abstract A dispersion function based on mixed second order kinetics is interpreted as a linear dispersion system with infinite many relaxators explicitly given.
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A remark on relaxation of integral functionals

Nonlinear Analysis: Theory, Methods & Applications, 1991
The paper under review concerns the calculation of the relaxed functional \(F(u)=\int_ \Omega f(\nabla u)dx\) with \(u\in W^{1,p}(\Omega; \mathbb{R}^ 2)\), \(2\leq ...
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Viscoelastic relaxation functions compatible with thermodynamics

Journal of Elasticity, 1988
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Mauro Fabrizio, MORRO, ANGELO
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Relaxation of some functionals of the calculus of variations

Archiv der Mathematik, 1995
In this note we compute the relaxed energy for a class of functionals defined on the set of \((n+ p)\times n\) matrices and give some applications in particular for the Saint-Venant-Kirchhoff energy density.
Bousselsal, M, Chipot, M
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Further inequalities for viscoelastic relaxation functions

Mechanics Research Communications, 1995
The constitutive equation of a linear viscoelastic solid \(T(t)= G_0 E(t)+ \int^\infty_0 G' (\tau) E(t- \tau) d\tau\) and of a viscoelastic fluid \(T(t)= -p(\rho (t)) 1+\int^\infty_0 {\mathcal G} (\tau) D(t- \tau) d\tau\) are considered. Here \(T\in \text{Sym}\) is the Cauchy stress tensor, \(G_0\in \text{Lin(Sym)}\) is the instantaneous elastic ...
Mauro Fabrizio, MORRO, ANGELO
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On the behaviour of the spin relaxation function

Il Nuovo Cimento B, 1972
The integrodifferential equation governing the time behaviour of the longitudinal spin relaxation function in the high-temperature approximation is studied. The analysis clarifies the consistency of possible approximations to the kernel with the asymptotic behaviour of the solution. It is found that the presence or absence of exchange interaction leads
G. Casati, A. Scotti
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Semicontinuity and relaxation of L ∞-functionals [PDF]

Advances in Calculus of Variations, 2009
Fixed a bounded open set Ω of R , we completely characterize the weak* lower semicontinuity of functionals of the form F (u,A) = ess sup x∈A f(x, u(x), Du(x)) defined for every u ∈ W 1,∞(Ω) and for every open subset A ⊂ Ω. Without a continuity assumption on f(·, u, ξ) we show that the supremal functional F is weakly* lower semicontinuous if and only if
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Approximate Relaxation Function for Concrete

Journal of the Structural Division, 1979
Presented is an approximate algebraic formula for calculating the relaxation function for aging concrete. The formula is general; it applies to any form of the creep function. Compared to the previously used effective modulus method, the formula reduces the error from up to 37% to within 2% relative to the exact solution according to the superpositon ...
Sang Sik Kim, Zdenek P. Bazant
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The Relaxed Work Functional in Linear Viscoelasticity

Mathematics and Mechanics of Solids, 2004
The relaxed work from a history H' to a history H is defined as the minimum work required to approach H via a sequence of continuations of H'. I prove three basic properties of the relaxed work: subadditivity, lower semicontinuity with respect to H for fixed H', and two dissipation inequalities.
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Spin-Relaxation Functions

1997
The spin-relaxation functions are the time dependences of the observables one measures in relaxation experiments. A list of relaxation functions for typical measuring procedures is given in Table 10.1 on page 93.
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