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

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

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剪力墙和薄壁开口截面作为支撑的高层建筑抗震计算的简化方法

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钢结构 2008年第6期23卷 93-93页

作者： Sid Ahmed Meftah Abdelouahed Tounsi adda bedia el abbas

对高度方向性能恒定,不对称的建筑结构,提出了近似的抗震分析手算方法。通过剪力墙和薄壁开口截面结构的结合,增加了建筑物的刚度。基于连续技术和达朗伯原理,推导了自由振动的控制方程和相应的特征值问题。应用伽辽金技术,提出了一个... 详细信息

对高度方向性能恒定,不对称的建筑结构,提出了近似的抗震分析手算方法。通过剪力墙和薄壁开口截面结构的结合,增加了建筑物的刚度。基于连续技术和达朗伯原理,推导了自由振动的控制方程和相应的特征值问题。应用伽辽金技术,提出了一个通用的方法对剪力墙和薄壁开口截面结构的耦合振动进行自由振动分析。给出了地震荷载下计算建筑结构循环频率和内力的简化公式。实例验证了方法的适用性和精确性,所提出的方法与有限元计算进行了比较。

关键词：高层建筑特征频率连续法薄壁结构耦合振动内力

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A New Higher Order Shear Deformation Model for Static Behavior of Functionally Graded Plates

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Advances in Applied Mathematics and Mechanics 2013年第3期5卷 351-364页

作者： Tahar Hassaine Daouadji Abdelouahed Tounsi el Abbes adda bedia Universit´e Ibn Khaldoun BP 78 Zaaroura14000 TiaretAlg´erie Laboratoire des Mat´eriaux&Hydrologie Universit´e de Sidi Bel AbbesAlg´erie

In this paper,a new displacement based high-order shear deformation theory is introduced for the static response of functionally graded *** any other theory,the number of unknown functions involved is only four,as against five in case of other shear deformation *** theory presented is variationally consistent,has strong similarity with classical plate theory inmany 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 *** mechanical properties of the plate are assumed to vary continuously in the thickness direction by a simple power-law distribution in terms of the volume fractions of the *** illustrations concerned flexural behavior of FG plates with Metal-Ceramic *** studies are performed for varying ceramic volume fraction,volume fraction profiles,aspect ratios and length to thickness *** 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 *** can be concluded that the proposed theory is accurate and simple in solving the static behavior of functionally graded plates.

关键词： Functionally graded material power law index volume fraction higher-order shear deformation theory Navier solution

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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

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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

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Thermo-mechanical vibration analysis of non-local refined trigonometric shear deformable FG beams

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International Journal of Hydromechatronics 2019年第1期2卷 2-2页

作者： Mouffoki Abderrahmane Aicha Bessaim Houari Mohammed Sid Ahmed Abdelhakim Kaci Tounsi Abdelouahed el abbas adda bedia Laboratoire des Matériaux et Hydrologie Université de Sidi Bel Abbes BP 89 Cité Ben M’hidi Sidi Bel 22000 Algeria Department of Civil Engineering Université Mustapha Stambouli de Mascara Mascara Algeria Département de Génie Civil et de l’hydraulique Université Moulay Tahar de Saida Saida Algeria

In this article, thermo vibration analysis of functionally graded (FG) nanobeams subjected to linear and uniform temperature distribution is studied. The structure is modelled by new efficient shear beam theory considering the effect of shear deformation without shear correction factor. The mentioned theory satisfies the zero boundary traction conditions on the beam surfaces and can be used for transverse shear strains trigonometric distribution. Material properties of the nanostructure are assumed temperature-dependent and FG based on the distribution of power law. The influence of size scale is captured utilising Eringen theory of non-local elasticity.

关键词： Thermo-mechanical vibration refined trigonometric shear deformable FG beams

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