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Advanced Engineering Materials, Volume 27, Issue 6, March 2025.The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez +5 more
wiley +1 more source
Attractor-repeller pair, Morse decomposition and Lyapunov function for random dynamical systems [PDF]
arXiv, 2006 In the stability theory of dynamical systems, Lyapunov functions play a fundamental role. In this paper, we study the attractor-repeller pair decomposition and Morse decomposition for compact metric space in the random setting. In contrast to [8], by introducing slightly stronger definitions of random attractor and repeller, we characterize attractor ...
arxiv
, 2010 We study the three dimensional stochastic Navier-Stokes-Voight model of viscoelastic incompressible fluid and three dimensional stochastic Primitive Equations with additive noise.
Hongjun Gao, Chengfeng Sun
semanticscholar +1 more source
Anomaly Detection Method for Hybrid Workpieces Using Dynamic Time Warping
Advanced Engineering Materials, EarlyView.Monitoring of hybrid workpieces: when machining hybrid workpieces, unavoidable axial deviations of the material transition zone cause temporal shifts in the process force signals. A new anomaly detection method based on dynamic time warping is proposed to detect material defects.
Berend Denkena +3 more
wiley +1 more source
Periodic Random Attractors for Stochastic Navier-Stokes Equations on Unbounded Domains [PDF]
Electronic J. Differential Equations, Vol. 2012 (2012), No. 59,
1-18, 2012 This paper is concerned with the asymptotic behavior of solutions of the two-dimensional Navier-Stokes equations with both non-autonomous deterministic and stochastic terms defined on unbounded domains. We first introduce a continuous cocycle for the equations and then prove the existence and uniqueness of tempered random attractors.
arxiv
Advanced Engineering Materials, EarlyView.Hydrostatic bearings excel in high‐precision applications, but their performance hinges on a continuous external supply. This study evaluates various material combinations for sliding surfaces to mitigate damage during supply failures or misalignment and to discover the most effective materials identified for enhancing the reliability and efficiency of
Michal Michalec +6 more
wiley +1 more source
Attracting edge property for a class of reinforced random walks [PDF]
, 2003 Vlada Limic
openalex +1 more source
Influence of Form and Structural Features of Open‐Cell Hybrid Foam on the Remanent Magnetic Scanning
Advanced Engineering Materials, EarlyView.Simulations using an equivalent model are performed to improve the understanding of remanent magnetic scanning of hybrid foam samples for coating thickness estimation. The model allows to study the influence of isolated geometrical features such as layer thickness, boundary effects, as well as effects due to the statistical nature of the foams, which ...
Bashar Ibrahim +4 more
wiley +1 more source
(L2,H1)-Random Attractors for Stochastic Reaction-Diffusion Equation on Unbounded Domains
Abstract and Applied Analysis, 2013 We study the random dynamical system generated by a stochastic reaction-diffusion equation with additive noise on the whole space ℝn and prove the existence of an (L2,H1)-random attractor for such a random dynamical system. The nonlinearity f is supposed
Gang Wang, Yanbin Tang
doaj +1 more source