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Behavioural Modelling of Corundum under the Effect of Porosity Rate

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Modeling and Numerical Simulation of Material Science 2013年第3期3卷 33-36页

作者： Seif-Eddine Bendaoudi Mokhtar Bounazef el-abbes adda bedia Laboratory LM & H Djillali Liabes University of Sidi Bel-Abbes 89 Algeria

Corundum, which is a form of Alumina, is used to manufacture various components and mechanical, electrical and electronics parts. Known for its relatively high hardness, its other characteristics depend on the porosity rate that varies depending on the manufacturing process. One of the characteristics to consider is the tensile stress value changes in a standard test to failure as a function of applied force and porosity rate. In this study, for a better understanding of the effect of the two parameters, we used the statistical method of design of experiments that makes it possible to establish a mathematical model of the response, by which explains the effect of the two parameters in isolation from each other, then their effect simultaneously. Consequently, we can explain the mechanical behaviour of the porous corundum, with curves and graphs, and optimize the final result.

关键词： Corundum Behavioural Modelling Porosity Rate Design of Experiments Method

Static Analysis of Functionally Graded Sandwich Plates Using an Efficient and Simple Refined Theory

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Chinese Journal of Aeronautics 2011年第4期24卷 432-433页

作者： Hadj Henni ABDelAZIZ Hassen Ait ATMANE Ismail MECHAB Lakhdar BOUMIA Abdelouahed TOUNSI adda bedia el ABBAS Laboratoire des Matériaux et Hydrologie Université de Sidi Bel Abbes Département de Génie Civil Université Ibn Khaldoun Département de Génie Civil Faculté de Génie Civil et d'Architecture Univesité de Chlef Département de Physique Université de Sidi Bel Abbes

In this paper, a new displacement based high-order shear deformation theory is introduced for the static response of functionally graded sandwich plate. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory presented is variationally consistent, has strong similarity with classical plate theory in many aspects, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. Two common types of functionally graded sandwich plates, namely, the sandwich with fimctionally graded facesheet and homogeneous core and the sandwich with homogeneous facesheet and functionally graded core, are considered. Governing equations are derived from the principle of virtual displacements. The closed-form solution of a simply supported rectangular plate subjected to sinu- soidal loading has been obtained by using the Navier method. The validity of the present theory is investigated by comparing some of the present results with those of the classical, the first-order and the other higher-order theories. It can be concluded that the proposed theory is accurate and simple in solving the static bending behavior of functionally graded sandwich plates.

关键词： functionally graded materials sandwich plates refined plate theory bending Navier solution

A two variable refined plate theory for the bending analysis of functionally graded plates

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Acta Mechanica Sinica 2010年第6期26卷 941-949页

作者： Ismail Mechab Hassen Ait Atmane Abdlouahed Tounsi Hichem Abdesselem Belhadj EI Abbas adda bedia Laboratoire des Materiaux et Hydrologie Universite de Sidi Bel AbbesBP 89 Cite Ben M'hidi22000 Sidi Bel AbbesAlgerie Departement de genie civil Faculte des Sciences de l'IngenieurUniversite Hassiba Benbouali de ChlefChlefAlgerie

Bending analysis of functionally graded plates using the two variable refined plate theory is presented in this *** number of unknown functions involved is reduced to merely four,as against five in other shear deformation theories. The variationally consistent theory presented here has, in many respects,strong similarity to the classical plate theory. It does not require shear correction factors,and gives rise to such transverse shear stress variation that the transverse shear stresses vary parabolically across the thickness and satisfy shear stress free surface *** properties of the plate are assumed to be graded in the thickness direction with their distributions following a simple power-law in terms of the volume fractions of the *** equations are derived from the principle of virtual displacements, and a closed-form solution is found for a simply supported rectangular plate subjected to sinusoidal loading by using the Navier *** results obtained by the present theory are compared with available solutions,from which it can be concluded that the proposed theory is accurate and simple in analyzing the static bending behavior of functionally graded plates.

关键词： FG plates Shear deformation theory Refined plate theory Higher-order theory Navier solution

Free vibration of functionally graded sandwich plates using four-variable refined plate theory

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Applied Mathematics and Mechanics(English Edition) 2011年第7期32卷 925-942页

作者： L.HADJI H.A.ATMANE A.TOUNSI I.MECHAB E.A.adda bedia Laboratoire des Matériaux et Hydrologie Université de Sidi Bel AbbesSidi Bel Abbes 22000Algérie Département de Génie Civil Université Ibn KhaldounTiaret 14000Algérie Département de Génie Civil Faculté des Sciences de l'IngénieurUnivesité Hassiba Benbouali de ChlefChlef 02000Algérie

This paper uses the four-variable refined plate theory （RPT） for the free vibration analysis of functionally graded material （FGM） sandwich rectangular plates. Unlike other theories, there are only four unknown functions involved, as compared to five in other shear deformation theories. The theory presented is variationally consistent and strongly similar to the classical plate theory in many aspects. It does not require the shear correction factor, and gives rise to the transverse shear stress variation so that the transverse shear stresses vary parabolically across the thickness to satisfy free surface conditions for the shear stress. Two common types of FGM sandwich plates are considered, namely, the sandwich with the FGM facesheet and the homogeneous core and the sandwich with the homogeneous facesheet and the FGM core. The equation of motion for the FGM sandwich plates is obtained based on Hamilton＇s principle. The closed form solutions are obtained by using the Navier technique. The fundamental frequencies are found by solving the eigenvalue problems. The validity of the theory is shown by comparing the present results with those of the classical, the first-order, and the other higher-order theories. The proposed theory is accurate and simple in solving the free vibration behavior of the FGM sandwich plates.

关键词： functionally graded material (FGM) free vibration sandwich plate refinedplate theory (RPT) Navier solution

ANALYTICAL ANALYSIS OF INTERFACIAL STRESSES IN FRP-RC HYBRID BEAMS WITH TIME-DEPENDENT DEFORMATIONS OF RC BEAM

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Acta Mechanica Solida Sinica 2011年第6期24卷 519-526页

作者： Bouazza Fahsi Kouider Halim Benrahou Baghdad Krour Abdeloauhed Tounsi Samir Benyoucef1 E Abbas adda bedia Laboratoire des Matériaux et Hydrologie Université de Sidi Bel Abbes BP 89 Cité Ben M'hidi 22000 SidiBel Abbes Algéri Universitaire Mustapha Stambouli Mascara Département de Génie Civil Algérie Laboratoire des Matériaux et Hydrologie Université de Sidi Bel Abbes BP 89 Cité Ben M’hidi 22000 SidiBel Abbes Algérie

In this paper, the effect of time-dependent deformations （such as shrinkage and creep） on the interracial stresses between an RC beam and FRP plate is presented. For this end, a closed-form solution for such stresses in externally FRP plated RC beams including creep and shrinkage effects is presented. The developed model is formulated to predict the interfacial stresses at time ＇t＇, in which the RC beams have been already subjected to creep and shrinkage effects. The adherend shear deformations have been included in the present theoretical analysis by assuming a parabolic shear stress through the thickness of the RC beam and the FRP panel. Contrary to some existing studies, the assumption that both RC beam and FRP panel have the same curvature is not used in the present investigation. This research is helpful for the understanding on mechanical behavior of the interface and design of the FRP-RC hybrid structures.

关键词： hybrid structure RC beams FRP composites interfacial stresses creep shrinkage

Natural frequencies of composite beams with a variable fiber volume fraction including rotary inertia and shear deformation

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Applied Mathematics and Mechanics(English Edition) 2009年第6期30卷 717-726页

作者： Y. Bedjilili A. Tounsi H. M. Berrabah I. Mechab E. A. adda bedia S. Benaissa Université de Tlemcen Faculté des Sciences de l'ingénieurDépartement de Génie MécaniqueAlgérie Laboratoire des Matériaux et Hydrologie Université de Sidi Bel AbbesAlgérie Laboratoire de Mathématiques Université de Sidi Bel AbbesAlgérie

The present study is concerned with the vibration analysis of symmetric composite beams with a variable fiber volume fraction through thickness. First-order shear deformation and rotary inertia have been included in the analysis. The solution procedure is applicable to arbitrary boundary conditions. Continuous gradation of the fiber volume fraction is modeled in the form of an m-th power polynomial of the coordinate axis in the thickness direction of the beam. By varying the fiber volume fraction within the symmetric composite beam to create a functionally graded material （FGM）, certain vibration characteristics are affected. Results are presented to demonstrate the effects of shear deformation, fiber volume fraction, and boundary conditions on the natural frequencies and mode shapes of composite beams.

关键词： free vibration functionally graded materials first-order shear deformationtheory

An incommensurate fractional discrete macroeconomic system:Bifurcation,chaos,and complexity

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Chinese Physics B 2023年第3期32卷 58-67页

作者： Abderrahmane abbes Adel Ouannas Nabil Shawagfeh Department of Mathematics University of JordanAmman 11942Jordan Department of Mathematics and Computer Science University of Larbi Ben M'hidiOum El Bouaghi 04000Algeria

This study proposes a novel fractional discrete-time macroeconomic system with incommensurate *** dynamical behavior of the proposed macroeconomic model is investigated analytically and *** particular,the zero equilibrium point stability is investigated to demonstrate that the discrete macroeconomic system exhibits chaotic *** using bifurcation diagrams,phase attractors,the maximum Lyapunov exponent and the 0–1 test,we verified that chaos exists in the new model with incommensurate fractional ***,a complexity analysis is carried out utilizing the approximation entropy(ApEn)and C_(0)complexity to prove that chaos ***,the main findings of this study are presented using numerical simulations.

关键词： chaos macroeconomic system discrete fractional calculus complexity

Behavioural Modelling of Lips Seal Made with Polytetrafluoroethylene Enriched by Glass Fibers

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Modeling and Numerical Simulation of Material Science 2013年第4期3卷 170-174页

作者： Ali Djeffal Seif Eddine Bendaoudi Mokhtar Bounazef el Abbas adda bedia Materials and Hydrology Laboratory Department of Civil Engineering Djillali Liabes University Sidi Bel Abbes Algeria Materials and Hydrology Laboratory Department of Mechanical Engineering Djillali Liabes University Sidi Bel Abbes Algeria

Polytetrafluoroethylene reinforced with glass fibers is a composite material widely used in industry mainly for the manufacture of seals at the level of the rotary shafts of vehicles and stationary floor machines such as turbines and compressors. However, due to elastic and viscous-plastic properties of this material, it wears quickly under the influence of some external parameters during operation. There are therefore material loss, increased clearance and loss of sealing. This work summarises a series of tests carried out with this material in order to analyse the variation of the friction coefficient due to the roughness of the work piece brought into contact with the PTFE, the linear velocity of contact between them and material yield strength. To do this analysis, we used the method of unconventional design of experiments to model the behaviour of material and consequently make decisions to reduce this wear. The results are shown and deeply analysed in the following text as a polynomial mathematical model, graphs, contours and response surfaces illustrating the holding of this material under the effect of the three parameters mentioned above. The previous PTFE samples enriched with chopped glass fibers are not subjected to axially force this time, contrary to the force applied radially. The advantage of this method is the relative linear velocity at the contact sample-disc and the applied pressure remains constant. Under the action of the weight “P” applied on the sample, it comes into friction with the rotating disc whose roughness changes from experience to another;it is expressed by the values of Ra. Tangential friction force appears at the point of contact and is equilibrated by measured force Fm on the lever. The calculation of the moment relative bench axis caused by 2 forces gives the coefficient of friction. Knowing the values of frictional force Ft by calculation and the weight P, we determine then the friction coefficient.

关键词： Composite Material Friction Wear Glass Fibers Design of Experiments Modelling

Integrative herbal treatments of diabetes in Beni Mellal region of Morocco

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Journal of Integrative Medicine 2019年第2期17卷 93-99页

作者： Hanae Naceiri Mrabti Nidal Jaradat Mohamed Reda Kachmar Abdelaziz Ed-Dra Abdelilah Ouahbi Yahia Cherrah Moulay el abbes Faouzi Faculty of Medicine and Pharmacy Pharmacokinetic Team Laboratory of Pharmacology and Toxicology Université Mohammed V-Souissi Department of Pharmacy Faculty of Medicine and Health Sciences An-Najah National University Faculty of Sciences Health and Environment Laboratory Plant Protection Team Moulay Ismail University Faculty of Science Team of Microbiology and Health Laboratory of Chemistry-Biology Applied to the Environment Moulay Ismail University

Objectives: Diabetes is one of the most life-threatening chronic metabolic disorders and is considered a global health problem due to its prevalence and incidence. In Morocco, several herbal preparations are utilized to treat this disease. For this reason, the current study aimed to identify and to collect data about the medicinal plants utilized in folk medicine for the treatment of diabetes in the Beni Mellal region of ***: An ethnobotanical survey was carried out among 400 herbalists, competent villagers and traditional healers from the Beni Mellal region through direct interviews using a semistructured ***: Forty-five medicinal plants belonging to 25 families were identified for their use in diabetes treatment. Interview results showed that the most frequently used plants were Olea europaea, Salvia officinalis, Allium sativum and Trigonella foenum-graecum, with a relative frequency of citation values of24.3%, 23.0%, 22.5% and 20.5%, respectively. Moreover, in this study, the Fabaceae family was the most commonly reported plant family, and the leaves and roots were the most commonly used parts, for the treatment of ***: The Beni Mellal region of Morocco has an important floristic biodiversity of plants used to treat diabetes in traditional medicinal practice. This result provides a good database for pharmacological screenings in the search for plant-based antidiabetic medications.

关键词： Integrative medicine Medicinal plants Diabetes Beni Mellal Morocco Questionnaire