Analysis of bistability at the coupling between waveguide and whispering gallery modes of a nonlinear hemicylinder

The optical bistability caused by the coupling between modes of the parallel-plate waveguide and a nonlinear hemicylindrical crystal is studied using theoretical and numerical analysis. In such a system a waveguide channel is parallelly coupled to whispering gallery modes of a hemicylindrical microresonator ensuring bistable behaviour at input intensities of the order of a few MW/cm2. The characteristic minimum switching time of the system (around 30 ps) can be controlled by varying the thickness of the metal layer which couples the waveguide and whispering gallery modes. This is conditioned by the change of the quality Q-factor, as well as the coupling coefficient of the resonator. The main advantages of the system are fabrication simplicity, small sizes of the order of 3 µm and the possibility of adjusting the processes by making use of the electro-optical effect.

EWM-based design method for distortional buckling of cold-formed thin-walled lipped channel sections with holes

<abstract> <p>The distortional buckling is easy to occur for the cold-formed steel (CFS) lipped channel sections with holes. There is no design provision about effective width method (EWM) to predict the distortional buckling strength of CFS lipped channel sections with holes in China. His aim of this paper is to present an proposal of effective width method for the distortional buckling strength of CFS lipped channel sections with holes based on theoretical and numerical analysis on the partially stiffened element and CFS lipped channel section with holes. Firstly, the prediction methods for the distortional buckling stress and distortional buckling coefficients of CFS lipped channel sections with holes were developed based on the energy method and simplified rotation restrained stiffness. The accuracy of the proposed method for distortional buckling stress was verified by using the finite element method. Then the modified EWM was proposed to calculate the distortional buckling strength and the capacity of the interaction buckling of CFS lipped channel sections with holes based on the proposal of distortional buckling coefficient. Finally, comparisons on ultimate capacities of CFS lipped channel sections with holes of the calculated results by using the modified effective width method with 347 experimental results and 1598 numerical results indicated that the proposed EWM is reasonable and has a high accuracy and reliability for predicting the ultimate capacities of CFS lipped channel section with holes. Meanwhile, the predictions by the North America specification are slightly unconservative.</p> </abstract>

Polariton Condensate and Landau-Zener-Stückelberg Interferometry Transition in Multilayer Transition Metal Dichalcogenides

This paper gives a detailed description of a high-performance polariton condensate for a quantum mechanical two-level system (TLS). We propose a transition metal dichalcogenides (TMDs) setup and theoretically carry out the spectroscopy of these polariton condensates. Through theoretical and numerical analysis, we obtain many features in two dimensional (2D) multilayer TMDs. We compute the energy of the system and the Landau-Zener-Stückelberg (LZS) quantum tunneling probability under the effect of a sequence of laser light. At certain critical 2D TMDs parameters, the system exhibits a multi-crossing scenario in a privileged position of 2D multilayer TMDs. We predict the consecutive modulations and highlight the conservation of the LZS interference patterns mapped from the 2D TMDs system. At weak coupling regime, a successful conversion of interferometry signals is identified for some values of laser frequency. We explain such a result as a valley sensitive cavity rate model due to coherent exchange and incoherent scattering, meaning that polariton condensate is formed in the valley around the Brillouin zone. The latter is used quantitatively and qualitatively to achieve high-precision measurements beyond that of its elementary constituents. The obtained results confirm that MoSe2 has the highest sensitivity to radiation field as compared to other 2D multilayer TMDs materials. Therefore, MoSe2 stands as an appropriate candidate among other 2D TMDs to form polariton condensates.

On tangent geometry and generalised continuum with defects

This paper introduces tools on fibre geometry towards the framework of mechanics of microstructured continuum. The material is modelled by an appropriate bundle for which the associated connection and metric are induced from the Euclidean space by a smooth transformation represented by a fibre morphism from the bundle to Euclidean space. Furthermore, the general kinematic structure of the theory includes macroscopic and microscopic fields in a multiscaled approach, including large transformation. Defects appear in this geometrical point of view by an induced curvature, torsion and non-metricity tensor in the induced geometry. Special attention is given to transport along a finite path in order to extend the standard infinitesimal analysis of torsion and curvature to a macroscopical point of view. Both theoretical and numerical analysis may be handled without additional difficulties. Accordingly, several examples of transformation involving the distribution of material defects are exhibited and analysed.

Theoretical and Numerical Analysis of the Fatigue Strength of Mechanical Material and Part under Uniaxial Stress

To characterize the fatigue strength of mechanical material and part, a methodology combining the fatigue damage theory with the numerical simulation is proposed under three types of uniaxial loads. The equal-life fatigue curve of a shaft is used for the theoretical and numerical analysis of fatigue damage. Its theoretical fatigue strengths under different loadings are gained through theory equations. Utilizing the mean stress correction method, the stress distribution and fatigue life of the shaft are obtained through the collaborative simulation of ANSYS and nCode software. Consequently, the resultant fatigue lives are all within the value band of basic cycle number as demanded in practice, implying the correction and validation of theory analysis. The proposed strategy provides a new pathway and perspective for the analysis of fatigue damage.