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SOME RESULTS ABOUT THE REGULARITIES OF MULTIFRACTAL MEASURES
Selmi, Bilel The Kangwon-Kyungki Mathematical Society 2018 한국수학논문집 Vol.26 No.2
In this paper, we generelize the Olsen's density theorem to any measurable set, allowing us to extend the main results of H.K. Baek in (Proc. Indian Acad. Sci. (Math. Sci.) Vol. 118, (2008), pp. 273-279.). In particular, we tried through these results to improve the decomposition theorem of Besicovitch's type for the regularities of multifractal Hausdorff measure and packing measure.
Selmi Abdellatif,Ali Raza 국제구조공학회 2023 Structural Engineering and Mechanics, An Int'l Jou Vol.85 No.3
Limited studies are available on the mathematical estimates of the compressive strength (CS) of glass fiberembedded polymer (glass-FRP) compressive elements. The present study has endeavored to estimate the CS of glass-FRP normal strength concrete (NSTC) compression elements (glass-FRP-NSTC) employing two various methodologies; mathematical modeling and artificial neural networks (ANNs). The dataset of 288 glass-FRP-NSTC compression elements was constructed from the various testing investigations available in the literature. Diverse equations for CS of glass-FRP-NSTC compression elements suggested in the previous research studies were evaluated employing the constructed dataset to examine their correctness. A new mathematical equation for the CS of glass-FRP-NSTC compression elements was put forwarded employing the procedures of curve-fitting and general regression in MATLAB. The newly suggested ANN equation was calibrated for various hidden layers and neurons to secure the optimized estimates. The suggested equations reported a good correlation among themselves and presented precise estimates compared with the estimates of the equations available in the literature with R2= 0.769, and R2 =0.9702 for the mathematical and ANN equations, respectively. The statistical comparison of diverse factors for the estimates of the projected equations also authenticated their high correctness for apprehending the CS of glass-FRP-NSTC compression elements. A broad parametric examination employing the projected ANN equation was also performed to examine the effect of diverse factors of the glass-FRP-NSTC compression elements.
Effectiveness of SWNT in reducing the crack effect on the dynamic behavior of aluminium alloy
Selmi, Abdellatif Techno-Press 2019 Advances in nano research Vol.7 No.5
This paper investigates the effectiveness of Single Walled Carbon Nanotubes, SWNT, in improving the dynamic behavior of cracked Aluminium alloy, Al-alloy, beams by using a method based on changes in modal strain energy. Mechanical properties of composite materials are estimated by the Eshelby-Mori-Tanaka method. The influence of SWNT volume fraction, SWNT aspect ratio, crack depth and crack location on the natural frequencies of the damaged 3D randomly oriented SWNT reinforced Al-alloy beams are examined. Results demonstrate the significant advantages of SWNT in reducing the effect of cracks on the natural frequencies of Al-alloy beams.
Free vibration of bi-dimensional functionally graded simply supported beams
Selmi, Abdellatif Techno-Press 2021 Advances in concrete construction Vol.12 No.3
This paper investigates the free vibration of bi-dimensional functionally graded simply supported beams by using the continuous element method. The material properties are considered to vary exponentially along the beam thickness and length. The characteristic frequency equations of simply supported beams are derived by transfer matrix method. Validation targets are other analytical methods. The effects of the gradient indexes and the beam slenderness ratio on the natural frequencies of bi-dimensional functionally graded beams are studied.
PROJECTIONS AND SLICES OF MEASURES
Selmi, Bilel,Svetova, Nina Korean Mathematical Society 2021 대한수학회논문집 Vol.36 No.2
We consider a generalization of the L<sup>q</sup>-spectrum with respect to two Borel probability measures on ℝ<sup>n</sup> having the same compact support, and also study their behavior under orthogonal projections of measures onto an m-dimensional subspace. In particular, we try to improve the main result of Bahroun and Bhouri [4]. In addition, we are interested in studying the behavior of the generalized lower and upper L<sup>q</sup>-spectrum with respect to two measures on "sliced" measures in an (n - m)-dimensional linear subspace. The results in this article establish relations with the L<sup>q</sup>-spectrum with respect to two Borel probability measures and its projections and generalize some well-known results.
ASYMPTOTIC STUDY OF MIXED ROTATING MHD SYSTEM
Selmi, Ridha Korean Mathematical Society 2010 대한수학회보 Vol.47 No.2
Asymptotic behavior of three-dimensional mixed, periodic and rotating magnetohydrodynamic system is investigated as the Rossby number goes to zero. The system presents the difficulty to be singular and mixed, that is hyperbolic in the vertical direction and parabolic in the horizontal one. The divergence free condition and the spectral properties of the penalization operator are crucial in the proofs. The main tools are the energy method, the Schochet's method and products laws in anisotropic Sobolev spaces.
Slimen Selmi,Manel Jallouli,Najoua Gharbi,Lamjed Marzouki 한국식품영양과학회 2015 Journal of medicinal food Vol.18 No.10
We aimed in the present study to investigate the hepato- and nephroprotective effects of Lavandula stoechas essential oils (LSEO) against malathion-induced oxidative stress in young male mice as well as the possible mechanism implicated in such protection. Animals were divided into eight groups of 12 each: Control, malathion (200 mg/kg b.w.); Various doses of LSEO (10, 30, and 50 mg/kg b.w.), malathion + various doses of LSEO. Malathion and LSEO were daily per orally (p.o.) administered by intragastric gavage during 30 days. We initially found that malathion treatment induced body weight gain decrease as well as a clear nephro- and hepatotoxicity as assessed by significant relative liver and kidney weight increase and related hemodynamic parameters deregulation. Malathion exposure of mice also induced a considerable perturbation of metabolic parameters. On the other hand, we showed that malathion administration was accompanied by an oxidative stress status assessed by an increase of malondialdehyde (MDA) and hydrogen peroxide (H2O2) levels as well as a depletion of sulfhydril group content (-SH) and antioxidant enzyme activities such as catalase (CAT) and glutathione peroxidase (GPx), total superoxide dismutase (SOD), Cu/Zn-SOD, Mn-SOD, and Fe-SOD in the kidney and liver. More importantly, LSEO treatment abolished all malathion-induced body gain loss, liver and kidney relative weight increase, hemodynamic and metabolic disorders, as well as hepatic and renal oxidative stress. In conclusion, our data suggest that LSEO exerted potential hepato- and nephroprotective effects against malathion-induced oxidative stress in mice. The beneficial effect of LSEO might be related, in part, to its antioxidant properties.
Vibration behavior of bi-dimensional functionally graded beams
Abdellatif Selmi 국제구조공학회 2021 Structural Engineering and Mechanics, An Int'l Jou Vol.77 No.5
Based on Euler-Bernoulli beam theory and continuous element method, the free vibration of bi-dimensional functionally graded beams is investigated. It is assumed that the material properties vary exponentially along the beam thickness and length. The characteristic frequency equations of beams with different boundary conditions are obtained by transfer matrix method. The validity of the proposed method is assessed through comparison with available results. Parametric studies are carried out to analyze the influences of the gradient indexes and the beam slenderness ratio on the natural frequencies of bidimensional functionally graded beams.
Dynamic behavior of cracked ceramic reinforced aluminum composite beam
Abdellatif Selmi 국제구조공학회 2022 Smart Structures and Systems, An International Jou Vol.29 No.3
This paper presents the vibration analysis of cracked ceramic-reinforced aluminum composite beams by using a method based on changes in modal strain energy. The crack is considered to be straight. The effective properties of composite materials of the beams are estimated through Mori-Tanaka micromechanical model. Comparison study and numerical simulations with various parameters; ceramic volume fraction, reinforcement aspect ratio, ratio of the reinforcement Young's modulus to the matrix Young's modulus and ratio of the reinforcement density to the matrix density are taken into investigation. Results demonstrate the pronounced effects of these parameters on intact and cracked ceramic aluminum beams.