We shall describe the diffusion of heat energy through a long thin rod G with uniform cross section S. As before, we identify G with the open interval (a, b), and we assume the rod is perfectly insulated along its length. Let u(x, t) denote the temperature within the rod at a point x ∈ G and at time t > 0. Our previous experience shows that the heat flux q(x, t) at the point x, i.e., the flow r...

The subject of this paper is the study of the asymptotic behaviour of the equilibrium configurations of a nonlinearly elastic thin rod, as the diameter of the cross-section tends to zero. Convergence results are established assuming physical growth conditions for the elastic energy density and suitable scalings of the applied loads, that correspond at the limit to different rod models: the cons...

We present a semi-analytic numerical model to estimate the transverse modal instability (TMI) threshold for photonic crystal rod amplifiers. The model includes thermally induced waveguide perturbations in the fiber cross section modeled with finite element simulations, and the relative intensity noise (RIN) of the seed laser, which seeds mode coupling between the fundamental and higher order mo...

A rectangular rod is placed in a flow field flowing parallel to a flat plate. Effect of chord-thickness ratio of rectangular rod on developing vortex shedding downstream to the rod is studied. Then, for each one of the aspect ratios, the distance of the rod from the neighboring flat plate is reduced until the rod sticks to the flat plate. In each case, the effect of the flat plate boundary laye...

The propagation of bend and shear waves through an elastic rod is investigated in the framework of geometrically exact nonlinear elasticity. The model allows for shear, extension/compression, bend and twist thus enabling the study of the dynamics of all types of elastic deformations. Numerical and analytical solutions demonstrate that the propagation of planar bend or shear disturbances of fini...

Objective To compare the obstetric outcomes of cesarean section in women who had a history of four or more previous cesarean sections with those who had a history of two or three previous cesarean sections. Methods Total 1318 women who underwent repeat cesarean section between January 2013 and January 2016 were retrospectively reviewed. Of these, 244 (18.5%) had previously had four or more ce...

To ensure the safety of bridges during horizontal rotation, we propose a method through which it is possible to evaluate stability structures in real time by measuring vibration acceleration rotating structure. First, characteristics collected rotation typical high-speed railway bridge were compared with results finite element analysis. Second, analytic formula calculate ratio and pier-bottom-s...

there have been some experimental tests on hollow curved-steel struts with thin-walled square sections, in order to investigate their general behavior, particularly their capacity for bearing differing loads. one set of square tubes are cold-formed into segments of circular arcs with curvature radii, equal to 4000 mm. different lengths of curved struts are fabricated so as to cover a practical ...

The cell envelope of a marine pseudomonad as seen in thin section by electron microscopy has the double-membrane structure typical of other gram-negative bacteria. Cells washed with a solution containing Na+, K+, and Mg++ at their concentrations in the growth medium, when suspended briefly in 0.5 M sucrose, lost 13% of their hexosamine in a form nonsedimentable by centrifugation at 73,000 x g. ...