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Approximate Relaxation Function for Concrete
Journal of the Structural Division, 1979Presented 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 ...
Zdeněk P. Bažant, Sang-Sik Kim
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A relaxation function with distribution of relaxation times
Physics Letters A, 1970Abstract 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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Relaxation functions in dipolar materials
Journal of Statistical Physics, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weron, A., Weron, K., Woyczynski, W. A.
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OnM-functions and nonlinear relaxation methods
BIT Numerical Mathematics, 1985zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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Rounded stretched exponential for time relaxation functions
The Journal of Chemical Physics, 2009A rounded stretched exponential function is introduced, C(t)=exp{(τ0/τE)β[1−(1+(t/τ0)2)β/2]}, where t is time, and τ0 and τE are two relaxation times. This expression can be used to represent the relaxation function of many real dynamical processes, as at long times, t⪢τ0, the function converges to a stretched exponential with normalizing relaxation ...
J G, Powles +3 more
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Dielectric relaxation functions and models
Journal of Applied Physics, 1990The dielectric relaxation function is defined as the transient current generated by the application of a unit voltage. In analogy with viscoelasticity, a second relaxation function can be defined as the transient voltage generated by the application of a unit current.
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Multiscale relaxation of convex functionals
2003Summary: The \(\Gamma\)-limit of a family of functionals \[ u\mapsto \int_\Omega f\Biggl({x\over\varepsilon}, {x\over \varepsilon^2}, D^su\Biggr)\,dx \] is obtained for \(s= 1,2\) and when the integrand \(f= f(x,y,v)\) is a continuous function, periodic in \(x\) and \(y\), and convex with respect to \(v\). The 3-scale limits of second-order derivatives
FONSECA I., ZAPPALE, ELVIRA
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RELAXATION OF FUNCTIONALS INVOLVING HOMOGENEOUS FUNCTIONS AND INVARIANCE OF ENVELOPES
Chinese Annals of Mathematics, 2002It is well known that minimization problems involving functionals of the type : \(I\left( u\right) =\int_{\Omega }W\left( \nabla u\right) dx\) do not have solutions in the general case, that is without assumptions on \(W\) which imply the weak lower semicontinuity of \(I\) on appropriate Sobolev spaces.
Bousselsal, M., Le Dret, H.
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Relaxation methods of minimization of pseudoconvex functions
Journal of Soviet Mathematics, 1989See the preview in Zbl 0501.65025.
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