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This paper investigates the passive problem of neural networks with discrete and distributed delays. At first, a novel Lyapunov-Krasovskii functional (LKF) is constructed via introducing a delay-product-type term such that the delay change rate information is abundantly considered. Then, an extended reciprocally convex matrix inequality combined with the Wirtinger-based integral inequality with less conservatism is employed to realize the tight estimation for the derivative of the LKF. As a result, two improved passive criteria for the neural networks with discrete and distributed delays are presented. Finally, two numerical examples are given to show the effectiveness and improvements of our methods.
Wire-arc additive manufacturing has emerged as a technology that could replace the conventional manufacturing processof titanium alloys. However, it produces a coarse β grain, which can accumulate via several deposited materials, resulting isstrong texture and anisotropy. To investigate potential solutions, the effects of the cooling rate on the resulting microstructureand tensile properties were studied. The cooling rate of the deposited materials was adjusted by interpass temperaturecontrol. Under rapid cooling, fine α + α′ grain with a low aspect ratio were observed and tensile and hardness propertieswere also improved.
In the present work, both experimental and numerical simulation methods are used to investigate the characteristics of welding distortion and residual stress distribution. A 3D thermo-mechanical Finite Element Analysis (FEA) method is used to predict the welding distortion and residual stress of cylinder-shaped multi-pass layer weldments. Each weld pass is performed using a quarter-circle balanced welding procedure. To investigate the influence of deposition sequence and welding heat input on the welding distortion and residual stress, a continuous welding procedure is also calculated. The corresponding FEA models considered a moving heat source, the deposition sequence, and temperature-dependent thermal and mechanical properties. The results predicted by 3D FEA model are generally in good agreement with the measurements. Finally, the numerical and experimental results suggest that both deposition sequence and heat input affect welding distortion and residual stress distribution. Furthermore, the 3D thermal-mechanical FEA method can predict cylinder-type welding distortion.
To apply as the antimicrobial agent in cosmetics, azelaic acid, a skin lightening material with anti-inflammatory and antimicrobial properties, has been employed to functionalize TiO2 microspheres. Prior to the functionalization process, TiO2 microspheres were modified with NaOH to introduce hydroxyl groups on the surface of TiO2 as chemical binders. Hybridization was performed by condensation reaction between hydroxyl groups introduced on the surface of TiO2 by hydroxylation process and the hydroxyl groups of azelaic acid. The azelaic acid-TiO2 composites showed high antimicrobial activities towards both gram positive and gram negative bacterial strains, which are Staphylococcus aureus and Escherichia coli.