In this paper the vibration of a spinning cylindrical shell made of functional graded material is investigated. After a brief introduction of FG materials, by employing higher order theory for shell deformation, constitutive relationships are derived. Next, governing differential equation of spinning cylindrical shell is obtained through utilizing energy method and Hamilton’s principle. Making ...

A constitutive equation for nonlinear viscoelasticity is used to model the mechanical response of solid polymers such as polycarbonate. The nonlinearity arises from a reduced time which causes stress relaxation to accelerate with increasing strain. The constitutive equation can account for the occurrence of yield in a homogeneous uniaxial constant strain rate test. The constitutive equation is ...

In this paper we study k-noncrossing RNA structures with minimum arc-length 4 and at most k − 1 mutually crossing bonds. Let T k (n) denote the number of knoncrossing RNA structures with arc-length ≥ 4 over n vertices. We prove (a) a functional equation for the generating function ∑ n≥0 T [4] k (n)z n and (b) derive for k ≤ 9 the asymptotic formula T k (n) ∼ ck n +(k−1)/2) γ k . Furthermore we ...

In this paper we study k-noncrossing RNA structures with minimum arc-length 4 and at most k − 1 mutually crossing bonds. Let T [4] k (n) denote the number of k-noncrossing RNA structures with arc-length ≥ 4 over n vertices. We prove (a) a functional equation for the generating function P n≥0 T [4] k (n)z n and (b) derive for k ≤ 9 the asymptotic formula T [4] k (n) ∼ c k n −((k−1) 2 +(k−1)/2) γ...

A finite element method of any order is applied on a Bakhvalov-type mesh to solve singularly perturbed convection--diffusion equation in 2D, whose solution exhibits exponential boundary layers. uniform convergence (almost) optimal proved by means carefully defined interpolant.

The creep deformation and failure of high Cr steel component and weld is a challenging problem for power generation industries. There is a lack of good understanding of the precise nature and role of cavitation on the creep deformation and rupture. Creep damage constitutive equation developed either specifically developed for this type of steel or borrowed from existing one have been used in re...

Let f be an entire function of exponential type whose indicator diagram is contained in the segment [−iσ, iσ], σ > 0. Then the upper density of zeros of f is at most cσ where c ≈ 1.508879 is the positive solution of the equation log( √

We prove that if a solution of an equation of KdV type is bounded above by a traveling wave with an amplitude that decays faster than a given linear exponential then it must be zero. We assume no restrictions neither on the size nor in the direction of the speed of the traveling wave.