There are unusual nonlinear behaviors in superconducting materials, especially at low temperatures. This paper describes the procedure to reliably predict this nonlinearity in superconducting microstrip transmission lines (SMTLs). An accurate nonlinear distributed circuit model, based on simultaneously considering of both quadratic and modulus nonlinearity dependences, is proposed. All paramete...

Dynamic modulus of elasticity was determined in clearwood samples of eight tropical hardwood species using longitudinal vibrations, flexural vibration and ultrasonic transit-time methods. These samples were subsequently subjected to three point static bending test to determine static modulus of elasticity and modulus of rupture. Acoustic velocity and wood density were found to be independent pa...

Abstract In this paper, we consider an acoustic equation with incomplete data, where the bulk modulus coefficient and initial conditions are partially known. Our goal is to get information about independently of from boundary observations. To achieve goal, apply sentinel method introduced by J.L. Lions, which a functional that links solution given problem control function state observation. We ...

Abstract We are concerned about improvements of the modulus convexity by renormings a super-reflexive Banach space. Typically optimal results beyond Pisier's power functions bounds t p , with ≥ 2 and they related to notion generalized cotype. obtain an explicit upper bound for all moduli equivalent we show that if this is best possible, then space admits renorming type 2. UMD bigger, up multipl...

In this paper a three-dimensional finite element (FE) model of carbon nanocones (CNCs) is proposed and used for obtaining Young\'s modulus of CNCs. In this model, stretching and bending forces between carbon atoms are simulated using truss elements in ANSYS software. Then the model is subjected to the tension and by obtaining the stiffness of the CNC and using elasticity theory, Young’s modulus...

Polymer-clay nano-composite materials, in which nano-meter thick layers of clay dispersed in polymer matrix, have generally higher mechanical properties than normal polymeric materials. A new three-dimensional unit cell model has been developed for modeling three constituent phases including inclusion, interphase and matrix. The total elastic modulus of nano-composite is evaluated.  Numerical r...

In 1811, Legendre published an identity between integrals involving the constant k:= sin ⁡π12 that inspired Abel to create his brilliant theory of complex multiplication. Then k reappeared as eccentricity ellipse whose arclength Ramanujan computed explicitly in terms gamma functions with rational arguments. Finally, appeared a consequence three-body choreography along Bernoulli’s lemniscate. We...

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S U M M A R Y We present a semi-analytic iterative procedure for evaluating the 3-D deformation due to faults in an arbitrarily heterogeneous elastic half-space. Spatially variable elastic properties are modelled with equivalent body forces and equivalent surface traction in a ‘homogenized’ elastic medium. The displacement field is obtained in the Fourier domain using a semi-analytic Green func...