We study crack propagation in a viscoelastic solid. Using simple arguments, we derive equations for the velocity dependence of the crack-tip radius, a (v) , and for the energy per unit area to propagate the crack, G (v) . For a viscoelastic modulus E (omega) which increases as omega(1-s) (0< s< 1) in the transition region between the rubbery region and the glassy region, we find that a (v) appr...

exists for each x, y ∈ S(E). In this case E is called smooth. The norm of E is said to be Fréchet differentiable if for each x ∈ S(E) the limit is attained uniformly for y ∈ S(E). The normofE is called uniformlyFréchet differentiable if the limit is attained uniformly for x, y ∈ S(E). It is well known that (uniform) Fréchet differentiability of the norm of E implies (uniform) Gâteaux differenti...

Reclaimed asphalt pavement (RAP) is one of the waste materials that highway agencies promote to use in new construction or rehabilitation of highways pavement. Since the use of RAP can affect the resilient modulus and other structural properties of flexible pavement layers, this paper aims to employ two different artificial neural network (ANN) models for modeling and evaluating the effects of ...

In this paper, we generalize the concept of I statistical convergence, which is a recently introduced summability method, with an in…nite matrix of complex numbers and a modulus function. Lacunary sequences will also be included in our de…nitions. The name of our new method will be AI -lacunary statistical convergence with respect to a sequence of modulus functions. We also de…ne strongly AI -l...

The main purpose of this article is to study the bivariate approximation generalization for Baskakov-Durrmeyer-operators with aid non-negative parametric variants suppose 0 ? ?1,?2 1. We obtain order by use modulus continuity in terms well known Peetre?s K-functional, Voronovskaja type theorems and Lipschitz maximal functions. Further, we also discuss here properties operators B?gel-spaces mixe...

Now a day’s multiplication and modulus takes crucial role so we are combining multiplication and modulus. A Novel multi-modulus multiplier with different widths of modulus operations. In this paper we have radix4 multi-modulus multiplier with 4bit, 32bit, 64bit and radix8 multi-modulus multiplier with 4bit, 32bit, 64bit.radix4 and radix8 multi-modulus multiplier using Residue multiplication is ...

background: common carotid arterial stiffness can be assessed during carotid arterial ultrasonography, but its association with brachial stiffness, a well-defined cardiovascular risk factor, has not been clarified. the aim of this study was to examine the relationship between common carotid artery and brachial artery stiffness. methods: the static pressure-strain elastic modulus of the common c...