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Thermal buckling analysis of cross-ply laminated plates using a simplified HSDT
Abdelbaki Chikh,Abdelouahed Tounsi,Habib Hebali,S. R. Mahmoud 국제구조공학회 2017 Smart Structures and Systems, An International Jou Vol.19 No.3
This work presents a simplified higher order shear deformation theory (HSDT) for thermal buckling analysis of cross-ply laminated composite plates. Unlike the existing HSDT, the present one has a new displacement field which introduces undetermined integral terms and contains only four unknowns. Governing equations are derived from the principle of the minimum total potential energy. The validity of the proposed theory is evaluated by comparing the obtained results with their counterparts reported in literature. It can be concluded that the proposed HSDT is accurate and simple in solving the thermal buckling behavior of laminated composite plates.
Moussa Abualnour,Abdelbaki Chikh,Habib Hebali,Abdelhakim Kaci,Abdeldjebbar Tounsi,Abdelmoumen Anis Bousahla,Abdelouahed Tounsi 사단법인 한국계산역학회 2019 Computers and Concrete, An International Journal Vol.24 No.6
The thermo-mechanical bending behavior of the antisymmetric cross-ply laminates is examined using a new simple four variable trigonometric plate theory. The proposed theory utilizes a novel displacement field which introduces undetermined integral terms and needs only four variables. The validity of the present model is proved by comparison with solutions available in the literature.
Natural frequencies of FGM nanoplates embedded in an elastic medium
Bouafia, Halima,Chikh, Abdelbaki,Bousahla, Abdelmoumen Anis,Bourada, Fouad,Heireche, Houari,Tounsi, Abdeldjebbar,Benrahou, Kouider Halim,Tounsi, Abdelouahed,Al-Zahrani, Mesfer Mohammad,Hussain, Muzama Techno-Press 2021 Advances in nano research Vol.11 No.3
The small scale impact on the vibrational properties of "functionally graded" (FG) nanoplate embedded in an elastic medium is examined. The formulation is based on the four-unknown refined integral plate theory on aggregate with the nonlocal elasticity theory. Contrary to other theories, this one involves only four unknown variables. The solution procedure is obtained by employing the motion differential equations of physical phase that are converted into set of "linear algebraic equations". After, these are solved by a computer code. The influences of aspect ratio, material index, nonlocal parameter and elastic medium stiffness on the different modal vibrations of FG nanoplate are explored. The results demonstrate the significant impact of different physical and geometrical parameters on the vibration behavior of FG nanoplate.
Abdelouahed Tounsi,Abdelbaki Chikh,Houari Heireche,Mohammed Sid Ahmed Houari,E.A. Adda Bedia,Ahmed Bakora 국제구조공학회 2016 Structural Engineering and Mechanics, An Int'l Jou Vol.57 No.4
In this work, an analytical formulation based on both hyperbolic shear deformation theory and stress function, is presented to study the nonlinear post-buckling response of symmetric functionally graded plates supported by elastic foundations and subjected to in-plane compressive, thermal and thermo-mechanical loads. Elastic properties of material are based on sigmoid power law and varying across the thickness of the plate (S-FGM). In the present formulation, Von Karman nonlinearity and initial geometrical imperfection of plate are also taken into account. By utilizing Galerkin procedure, closed-form expressions of buckling loads and post-buckling equilibrium paths for simply supported plates are obtained. The effects of different parameters such as material and geometrical characteristics, temperature, boundary conditions, foundation stiffness and imperfection on the mechanical and thermal buckling and post-buckling loading capacity of the S-FGM plates are investigated.
Abdelkrim Rouabhia,Abdelbaki Chikh,Abdelmoumen Anis Bousahla,Fouad Bourada,Houari Heireche,Abdeldjebbar Tounsi,Kouider Halim Benrahou,Abdelouahed Tounsi,Mesfer Mohammad Al-Zahrani 국제구조공학회 2020 Steel and Composite Structures, An International J Vol.37 No.6
The buckling properties of a single-layered graphene sheet (SLGS) are examined using nonlocal integral first shear deformation theory (FSDT) by incorporating the influence of visco-Pasternak’s medium. This model contains only four variables, which is even less than the conventional FSDT. The visco-Pasternak’s medium is introduced by considering the damping influence to the conventional foundation model which modeled by the linear Winkler’s coefficient and Pasternak’s (shear) foundation coefficient. The nanoplate under consideration is subjected to compressive in- plane edge loads per unit length. The impacts of many parameters such as scale parameter, aspect ratio, the visco-Pasternak’s coefficients, damping parameter, and mode numbers on the stability investigation of the SLGSs are examined in detail. The obtained results are compared with the corresponding available in the literature
Nonlinear thermoelastic analysis of FGM thick plates
Bouhlali, Malika,Chikh, Abdelbaki,Bouremana, Mohammed,Kaci, Abdelhakim,Bourada, Fouad,Belakhdar, Khalil,Tounsi, Abdelouahed Techno-Press 2019 Coupled systems mechanics Vol.8 No.5
In this paper, a new application of a four variable refined plate theory to analyze the nonlinear bending of functionally graded plates exposed to thermo-mechanical loadings, is presented. This recent theory is based on the assumption that the transverse displacements consist of bending and shear components in which the bending components do not contribute toward shear forces, and similarly, the shear components do not contribute toward bending moments. The derived transverse shear strains has a quadratic variation across the thickness that satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. The material properties are assumed to vary continuously through the thickness of the plate according to a power-law distribution of the volume fraction of the constituents. The solutions are achieved by minimizing the total potential energy. The non-linear strain-displacement relations in the von Karman sense are used to derive the effect of geometric non-linearity. It is concluded that the proposed theory is accurate and simple in solving the nonlinear bending behavior of functionally graded plates.
Ismail M. Mudhaffar,Abdelbaki Chikh,Abdelouahed Tounsi,Mohammed A. Al-Osta,Mesfer M. Al-Zahrani,Salah U. Al-Dulaijan 국제구조공학회 2023 Structural Engineering and Mechanics, An Int'l Jou Vol.86 No.2
This work applies a four-known quasi-3D shear deformation theory to investigate the bending behavior of a functionally graded plate resting on a viscoelastic foundation and subjected to hygro-thermo-mechanical loading. The theory utilizes a hyperbolic shape function to predict the transverse shear stress, and the transverse stretching effect of the plate is considered. The principle of virtual displacement is applied to obtain the governing differential equations, and the Navier method, which comprises an exponential term, is used to obtain the solution. Novel to the current study, the impact of the viscoelastic foundation model, which includes a time-dependent viscosity parameter in addition to Winkler’s and Pasternak parameters, is carefully investigated. Numerical examples are presented to validate the theory. A parametric study is conducted to study the effect of the damping coefficient, the linear and nonlinear loadings, the power-law index, and the plate width-tothickness ratio on the plate bending response. The results show that the presence of the viscoelastic foundation causes an 18% decrease in the plate deflection and about a 10% increase in transverse shear stresses under both linear and nonlinear loading conditions. Additionally, nonlinear loading causes a one-and-a-half times increase in horizontal stresses and a nearly two-times increase in normal transverse stresses compared to linear loading. Based on the article’s findings, it can be concluded that the viscosity effect plays a significant role in the bending response of plates in hygrothermal environments. Hence it shall be considered in the design.
Fahsi, Asmaa,Tounsi, Abdelouahed,Hebali, Habib,Chikh, Abdelbaki,Adda Bedia, E.A.,Mahmoud, S.R. Techno-Press 2017 Geomechanics & engineering Vol.13 No.3
This work presents a simple and refined nth-order shear deformation theory for mechanical and thermal buckling behaviors of functionally graded (FG) plates resting on elastic foundation. The proposed refined nth-order shear deformation theory has a new displacement field which includes undetermined integral terms and contains only four unknowns. Governing equations are obtained from the principle of minimum total potential energy. A Navier type analytical solution methodology is also presented for simply supported FG plates resting on elastic foundation which predicts accurate solution. The accuracy of the present model is checked by comparing the computed results with those obtained by classical plate theory (CPT), first-order shear deformation theory (FSDT) and higher-order shear deformation theory (HSDT). Moreover, results demonstrate that the proposed theory can achieve the same accuracy of the existing HSDTs which have more number of variables.
Saeed I. Tahir,Abdelouahed Tounsi,Abdelbaki Chikh,Mohammed A. Al-Osta,Salah U. Al-Dulaijan,Mesfer M. Al-Zahrani 국제구조공학회 2022 Steel and Composite Structures, An International J Vol.42 No.4
Earthquake Resistant Design Philosophy seeks (a) no damage, (b) no significant structural damage, and (c) significant structural damage but no collapse of normal buildings, under minor, moderate and severe levels of earthquake shaking, respectively. A procedure is proposed for seismic design of low-rise reinforced concrete special moment frame buildings, which is consistent with this philosophy; buildings are designed to be ductile through appropriate sizing and reinforcement detailing, such that they resist severe level of earthquake shaking without collapse. Nonlinear analyses of study buildings are used to determine quantitatively (a) ranges of design parameters required to assure the required deformability in normal buildings to resist the severe level of earthquake shaking, (b) four specific limit states that represent the start of different structural damage states, and (c) levels of minor and moderate earthquake shakings stated in the philosophy along with an extreme level of earthquake shaking associated with the structural damage state of no collapse. The four limits of structural damage states and the three levels of earthquake shaking identified are shown to be consistent with the performance-based design guidelines available in literature. Finally, nonlinear analyses results are used to confirm the efficacy of the proposed procedure.
Fatima Bounouara,Salem Mohammed Aldosari,Abdelbaki Chikh,Abdelhakim Kaci,Abdelmoumen Anis Bousahla,Fouad Bourada,Abdelouahed Tounsi,Kouider Halim Benrahou,Hind Albalawi,AbdeldjebbarTounsi 국제구조공학회 2023 Steel and Composite Structures, An International J Vol.46 No.3
In this investigation, an improved integral trigonometric shear deformation theory is employed to examine the vibrational behavior of the functionally graded (FG) sandwich plates resting on visco-Pasternak foundations. The studied structure is modelled with only four unknowns’ variables displacements functions. The simplicity of the developed model being in the reduced number of variables which was made with the help of the use of the indeterminate integral in the formulation. The current kinematic takes into consideration the shear deformation effect and does not require any shear correction factors as used in the first shear deformation theory. The equations of motion are determined from Hamilton’s principle with including the effect of the reaction of the visco-Pasternak’s foundation. A Galerkin technique is proposed to solve the differentials governing equations, which enables one to obtain the semi-analytical solutions of natural frequencies for various clamped and simply supported FG sandwich plates resting on visco-Pasternak foundations. The validity of proposed model is checked with others solutions found in the literature. Parametric studies are performed to illustrate the impact of various parameters as plate dimension, layer thickness ratio, inhomogeneity index, damping coefficient, vibrational mode and elastic foundation on the vibrational behavior of the FG sandwich plates.