Application of Finite Element Model and Artificial Neural Network in Characterization of Al Matrix Nanocomposites Using Various Training Algorithms

Shabani, Mohsen Ostad; Mazahery, Ali

doi:10.1007/s11661-011-1040-1

Cited by 57 publications

(20 citation statements)

References 38 publications

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“…Studies have been carried out to investigate the performance of various artificial neural network (ANN) training algorithms in the finite-element method (FEM) modeling of eutectic volume percentage, silicon volume percentage, silicon rod spacing, average length of silicon rods, and silicon rod diameter of Al-Si alloys [24][25][26][27][28][29]. Mazahery and Shabani used the LM algorithm in FEM modeling of the average length and diameter of silicon rods.…”

Section: Al-si Alloysmentioning

confidence: 99%

Influence of Thermal Parameters, Microstructure, and Morphology of Si on Machinability of an Al–7.0 wt.% Si Alloy Directionally Solidified

Silva

Leal

Guimarães

et al. 2018

Advances in Materials Science and Engineering

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This study aims to correlate the influence of thermal and microstructural parameters such as growth rate and cooling rate (VL and TR) and secondary dendrite spacing (λ2), respectively, in the machining cutting temperature and tool wear on the necking process of the Al–7 wt.% Si alloy solidified in a horizontal directional device using a high-speed steel with a tungsten tool. The dependence of λ2 on VL and TR and dependence of the maximum cutting temperature and maximum flank wear on λ2 were determined by power experimental laws given by λ2 = constant (VL and TR)n and TMAX, VBMAX = constant (λ2)n, respectively. The maximum cutting temperature increased with increasing of λ2. The opposite occurred with the maximum flank wear. The role of Si alloying element on the aforementioned results has also been analyzed. A morphological change of Si along the solidified ingot length has been observed, that is, the morphology of Si in the eutectic matrix has indicated a transition from particles to fibers along the casting together with an increase of the particle diameters with the position from the metal/mold interface.

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Section: Al-si Alloysmentioning

confidence: 99%

Influence of Thermal Parameters, Microstructure, and Morphology of Si on Machinability of an Al–7.0 wt.% Si Alloy Directionally Solidified

Silva

Leal

Guimarães

et al. 2018

Advances in Materials Science and Engineering

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“…Recently, FQHEs at ν = 1/2 and 1/4 have been observed in wide GaAs quantum wells [5][6][7] with higher electron density than in previous experiments that reported no signs of FQHE. Indeed, there are direct evidences [5,6] that the signatures of FQHE become stronger with increasing electron density.…”

mentioning

confidence: 79%

“…An outstanding question has been whether such nonabelian topological phases exist in the lowest Landau level (LLL). Several recent experiments [5][6][7] indeed observed FQHE at ν = 1/2 and 1/4, suggesting that these, too, may be in the MRP phase. Although the abelian two-component Halperin (331) and (553) states [8] can be strong contenders for these FQHE [9], fresh experiments and numerical studies found strong evidence for the one-component FQHE at ν = 1/2 and 1/4 in asymmetric wide quantum wells [7,10].…”

mentioning

confidence: 86%

“…As-suming∆ k = ∆ * k [21] would violate this constraint and fail to capture the correlation-hole effects. One can show that, if∆ k = ∆ * k is assumed, the solution of the BdG equation (7) is∆ k = ∆ * k = 0 for all k. We solved the BdG equations (7) under the constraint (6) for possible values of l and found that the leading pairing instability has indeed l = −1, i.e. p x − ip y wave symmetry, which will be our focus.…”

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confidence: 95%

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Correlation-Hole Induced Paired Quantum Hall States in the Lowest Landau Level

Lü¹,

Yu²,

Wang³

2010

Phys. Rev. Lett.

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A theory is developed for the paired even-denominator fractional quantum Hall states in the lowest Landau level. We show that electrons bind to quantized vortices to form composite fermions, interacting through an exact instantaneous interaction that favors chiral p-wave pairing. There are two canonically dual pairing gap functions related by the bosonic Laughlin wavefunction (Jastrow factor) due to the correlation holes. We find that the ground state is the Moore-Read pfaffian in the long wavelength limit for weak Coulomb interactions, a new pfaffian with an oscillatory pairing function for intermediate interactions, and a Read-Rezayi composite Fermi liquid beyond a critical interaction strength. Our findings are consistent with recent experimental observations of the 1/2 and 1/4 fractional quantum Hall effects in asymmetric wide quantum wells. [5][6][7] indeed observed FQHE at ν = 1/2 and 1/4, suggesting that these, too, may be in the MRP phase. Although the abelian two-component Halperin (331) and (553) states [8] can be strong contenders for these FQHE [9], fresh experiments and numerical studies found strong evidence for the one-component FQHE at ν = 1/2 and 1/4 in asymmetric wide quantum wells [7,10]. Whether the observed FQHE can be understood as pfaffians in the LLL is the focus of this work.The MRP is a chiral p-wave paired quantum Hall state [11]. In principle, it can emerge as a p-wave pairing instability of the composite Fermi liquid (CFL), a gapless state of electrons attached to flux tubes [13]. The leading-order statistical interaction mediated by the Chern-Simons (CS) gauge field fluctuations can produce a p-wave pairing potential for the composite fermion [14] (CF). However, since the coupling between the CF and the CS gauge field is not small, diagrammatic perturbation theory is not controllable. Within the random-phase approximation, the gauge fluctuations are in fact singular and pair-breaking [15]. Therefore, the ground states at filling fractions 1/2 and 1/4 remained enigmatic [16].The key to solve this problem is to properly account for the effects of the correlation hole, i.e. the local charge depletion caused by attaching flux to an electron. A CF feels the correlation hole of the other CFs, which is captured by the Jastrow factor in the Laughlin wavefunction. In the unitary CF theory [12,13], only an infinitely thin flux tube associated with a U(1) phase is attached to each electron without accounting for the Jastrow factor, i.e. the correlation hole. Read improved the concept of CF by attaching finite size vortices to electrons [17,18] In this paper, we show that paired quantum Hall states emerge in the LLL using the NUCF field theory where a vortex with vorticity-φ (φ = even integer) is attached to an electron at filling fraction ν = 1/φ. An important feature of attaching vortices to electrons is that the diamagnetic coupling, quadratic in the gauge field, to the CF density is canceled by its dual contribution from the correlation hole associated with the vortex. As a result, we sho...

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“…Some achievements made in this respect can be seen from monograph [4] and review articles [5,6,7]. In the scope of composite structures and their mechanical behaviors, recently the studies where statistical learning is employed as the main approach increase in both number and the diversity [8,9]. Among these studies, the application of learning models to either experimental or simulated data gradually becomes a new paradigm for results interpretation and knowledge discovery.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Study on the Endurance Limit of Particulate Reinforced Metal Matrix Composites (Prmmcs) Using the Direct Method and the Statistical Learning

Chen¹,

Bezold²,

Broeckmann³

et al. 2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. Particulate reinforced metal matrix composites (PRMMCs) are characterized by their stochastic and irregular microstructure. The strength of the material has been noticed to have a large scatter and great dependence on the underlying composite structure. In order to understand how size and distribution of the reinforcement particles contribute to the effective material behaviors, we elaborated in present study a numerical approach which incorporates homogenization technique, shakedown analysis, and statistical learning. To demonstrate this approach, a typical PRMMC material, WC -20 wt.% Co, was taken as example and numerous representative volume element (RVE) samples of this material were built based on both real and artificial microscope images. Multiple effective behaviors, including the ultimate strength and endurance limit, were evaluated on each RVE sample using the direct method. In order to understand how multiple structural factors jointly affect the overall composite strength, the predicted strength and other selected features extracted from the samples are submitted to few statistical models such as logistic regression and artificial neural network (ANN) to establish predictive models. On the basis of these models we discussed how few structural factors, which have been identified to have nontrivial impact, contribute to the endurance limit of the selected PRMMC material.

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Application of Finite Element Model and Artificial Neural Network in Characterization of Al Matrix Nanocomposites Using Various Training Algorithms

Cited by 57 publications

References 38 publications

Influence of Thermal Parameters, Microstructure, and Morphology of Si on Machinability of an Al–7.0 wt.% Si Alloy Directionally Solidified

Influence of Thermal Parameters, Microstructure, and Morphology of Si on Machinability of an Al–7.0 wt.% Si Alloy Directionally Solidified

Correlation-Hole Induced Paired Quantum Hall States in the Lowest Landau Level

A Numerical Study on the Endurance Limit of Particulate Reinforced Metal Matrix Composites (Prmmcs) Using the Direct Method and the Statistical Learning

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