We study several holographic entanglement measures in a specific Einstein-Maxwell-dilaton theory using gauge/gravity correspondence. In particular, we evaluate the holographic entanglement entropy, mutual information, and entanglement wedge cross-section in geometries that are dual to the boundary vacuum state. Our results reveal some generic properties of boundary information measures dual to the entanglement wedge cross-section, e.g., the entanglement of purification. We show that the critical separation for the transition of mutual information increases as we increase the non-locality parameter, hence the total correlation between the subsystems increases.

Blends of silicone rubber (SR) and ethylene propylene diene monomer (EPDM) are immiscible due to different polarity and poor interfacial surface tension between their rubber chains. In this study, compatibilizing effect of a nanoclay addition in SR/EPDM blends was investigated. Viscoelasticity and morphology of nanocomposites based on SR and EPDM, containing 10, 20 and 30 wt% of EPDM and 3, 6 and 9 phr of nanoclay (Cloisite 15A), were studied. The curing behavior of the samples showed that the vulcanization rate and cross-link density of the blends increased with increases in SR content. Morphological study was conducted by XRD, SEM and EDX analyses and they indicated that the nanoparticles tended to disperse in the EPDM phase and consequently caused hardness and the elasticity of this phase in nanocomposites increased. Tensile properties of the samples showed a good fitting between that of experiments and the Maxwell model at initial time of testing (1.5 s) for all the blends. Sample parameters including modulus (E), viscosity (h) and relaxation time (t) calculated by the Maxwell model revealed that those samples with higher content of nanoparticles exhibit higher modulus and lower relaxation time. The good match in tensile properties based on Maxwell model and those of the experimental data was attributed to good dispersion of nanoclay in the blends.

The Maxwell-Dagum distribution is a continuous statistical distribution suitable for modeling data sets relating to various fields including finance, business, medical sciences, survival analysis, and related areas. This article aimed to propose some important properties of the Maxwell-Dagum distribution and obtained the parameters of its estimates by using different methods of estimation including maximum likelihood estimation, the maximum product of spacings, least squares estimation, and weighted least squares estimation. The first and second derivatives of this distribution are studied. We present two real data sets relating to the COVID-19 mortality rate belonging to Canada and the waiting time of bank customers to assess the performance of the proposed distribution. It is discovered that the Maxwell-Dagum distribution can be chosen as the best distribution by having a minimum value of Akaike information and Bayesian information criteria.

The objective of this study is to develop a general finite element formulation associated with an incremental adaptive procedure established for the calculation of contact pressure distributions in viscoelastic structures. A generalized Maxwell model has been used to model the viscoelastic constitutive equations in which bulk and shear relaxation functions are represented by sum of a series of decaying exponential functions of time. Based on the principle of virtual work, an effective finite element formulation, associated with an incremental relaxation procedure, has been developed. The viscoelastic contact behavior has been studied through an improved augmented Lagrangian approach, based on kinematical conditions of contact bodies. The proper convergence caused by the numerical examples with those obtained from analytical results shows the applicability of presented finite element formulation.

In practical applications, it is difficult to link dashpot absolutely rigidly between the structure and the mass blocks of the multiple tuned mass dampers (MTMD). In order to cope with this practical issue, Maxwell damper based multiple tuned mass dampers (referred to as the MD-MTMD) have been presented for attenuating the response of structures excited by the ground acceleration. By resorting to the formulated transfer functions of the MD-MTMD structure system, the dynamic magnification factors (DMF) are then defined of the MDMTMD structure system. The criterion for the optimum searching can thus be selected as the minimization of the minimum values of the maximum DMF (min. min. max. DMF).Employing this criterion, the effects of the normalized relaxation time constant (NRTC) are investigated on the optimum parameters and effectiveness of the MD-MTMD. Likewise, the effects of the RTC on the stroke of the MD-MTMD are estimated in terms of maximizing the dynamic magnification factors (DMF) of each MD-TMD in the MD-MTMD. The numerical results have indicated that the MD-MTMD is a feasible solution for the practical issue mentioned above of the traditional MTMD.

In this paper, the investigation is carried out to study the structural responses of two adjacent structures connected with Maxwell dampers under various earthquake excitations. The specific objective of this study is to evaluate the optimum damper parameter and its importance in response reduction of adjacent structures coupled by Maxwell dampers. The optimum damper parameter is investigated for the adjacent coupled structures subjected to four different types of earthquake ground motions. A formulation of the equations of motion for the two adjacent multi-degree-of-freedom (MDOF) structures connected with Maxwell dampers is presented. The numerical study is carried out for two adjacent MDOF structures connected with Maxwell dampers having same damper parameter in all dampers as well as, having different damper parameter in the dampers. The investigation is also carried out for effectiveness of the damper in terms of the structural response reduction, namely, displacement, acceleration and shear forces of adjacent connected structures. In addition, to minimize the cost of the dampers, the optimal location of the dampers, rather than providing the dampers at all floor levels is also investigated. Results show that using Maxwell dampers of appropriate parameter to connect the adjacent structures of different fundamental frequencies can effectively reduce earthquake-induced responses of either structure. Further, lesser dampers at appropriate locations can significantly reduce the earthquake response of connected system, thereby reducing cost of damper significantly.