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The grain size of materials is significantly reduced by dynamic recrystallization (DRX), which improves the properties and performance of the materials, and it helps to extend the applications further. DRX behavior of the composite materials is greatly affected by the addition of reinforcement to the matrix due to the heterogeneous temperature of the composite. Therefore, the present investigation aims to study the DRX behavior of hot upset sintered Al-B4C composite with various percentages of B4C content (2, 4 and 6 wt.% of B4C) with 90% of initial relative density. Hot upset tests were performed for various temperatures (300-500 °C) and strain rates (0.1-0.3 s−1). The DRX grain size was significantly altered not only with deformation conditions but also with the addition of reinforcement in the matrix. The fracture surface of the sintered composite was analyzed for various compositions. Ductile fracture is observed in the 2 and 4 wt.%B4C content, and ductile and brittle fractures were observed in the 6 wt.%B4C composites. DRX models were established between grain size and deformation conditions for various compositions to predict the grain size, and the developed models were validated. The measured and calculated DRX grain size absolute error and mean absolute error were not exceeding 8.9 and 7.7%, respectively. [ABSTRACT FROM AUTHOR]

The primary goal of this paper is to design and analyse the entire double wishbone suspension system for a commercial vehicle in order to improve the vehicle’s stability and handling. The suspension system has seen tremendous advancement. A commercial vehicle’s suspension system must be long-lasting, light in weight, efficient, and cost-effective. The vehicle must be able to withstand the harsh off-road terrain environment. As a result, it is critical to concentrate on the stress strain analysis study of the lower wishbone arm in order to improve and modify the existing design. [ABSTRACT FROM AUTHOR]

Establishing the fractional stochastic Schrödinger equations (FSSEs) in Hilbert space with complex potential and Poisson jumps is the primary goal of this work. Stochastic analysis, Mönch fixed point theorem, fractional calculus, and semigroup theory all support the possibility of a moderate solution for the suggested system. We construct and prove the criteria for the mild solution’s exponential fall. The trajectory (T-) controllability for the fractional Schrödinger equation is established in the latter portion, extending the findings of Durga and Muthukumar (2023); Grecksch and Lisei (2011); Keller (2013); Wang et al. (2012). An example is given to verify the theoretical findings gained. We discuss the use of fractional Schrödinger’s equation in the Oil and Gas Industry.

In this work, we investigate the existence of a mild solution and the approximate controllability of non-instantaneous impulsive stochastic integrodifferential equations driven by the Rosenblatt process in Hilbert space with the Hurst parameter \(\mathsf{H} \in (1/2, 1)\). We achieve the result using the semigroup theory of bounded linear operators, Grimmer's resolvent operator theory, and stochastic analysis. Using Krasnoselskii's and Schauder's fixed point theorems, we demonstrate the existence of mild solutions and the approximate controllability of the system. Finally, an example shows the potential for significant results.

In this paper, we discuss the existence, uniqueness and stability of mild solutions of time-dependent impulsive neutral stochastic partial integro differential equations with fractional Brownian motion and Poisson jumps. The existence of mild solutions for the equations are discussed by means of semigroup theory and theory of resolvent operator. Next, certain sufficient conditions and results are obtained by using the method of successive approximation and Bihari's inequality. Finally, an example is provided to illustrate our results. [ABSTRACT FROM AUTHOR]