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Atteshamuddin S. Sayyad - One of the best experts on this subject based on the ideXlab platform.
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Analysis of functionally graded plates resting on elastic foundation and subjected to non-linear hygro-thermo-mechanical loading
JMST Advances, 2019Co-Authors: Shantaram M. Ghumare, Atteshamuddin S. SayyadAbstract:In the present study, a new fifth-order shear and normal deformation theory is developed and applied for the bending analysis of functionally graded (FG) plates resting on two-parameter Winkler–Pasternak elastic foundation subjected to non-linear hygro-thermo-mechanical loading. The theory involves the effects of transverse shear and normal deformations, i.e. Thickness stretching. Navier’s solution technique is used to obtain analytical solutions for simply supported FG plates. The results are presented in non-dimensional form and are compared with previously published results in the literature. The present study has the following novelties. The present polynomial-type theory is computationally simpler than non-polynomial-type plate theories which are mathematically complicated, tedious and more cumbersome. For the accurate structural analysis of composite plates under hygro-thermal loading, consideration of Thickness Coordinate up to third-order polynomial is not sufficient. Therefore, in the present theory, Thickness Coordinate is expanded up to fifth-order polynomial to get the accurate displacements and stresses. Transverse normal stress/strain plays an important role in the modeling of thick plates which is neglected by many theories available in the literature.
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Effect of Thickness stretching on the static deformations, natural frequencies, and critical buckling loads of laminated composite and sandwich beams
Journal of The Brazilian Society of Mechanical Sciences and Engineering, 2018Co-Authors: Atteshamuddin S. Sayyad, Yuwaraj M. GhugalAbstract:The present study investigates the bending, buckling, and vibration responses of shear deformable laminated composite and sandwich beams using trigonometric shear and normal deformation theory. The most important feature of the present theory is that it includes the effects of transverse shear and normal deformations, i.e., the effect of Thickness stretching. Therefore, the theory is also called as a quasi-2D theory. The axial displacement uses sine function in terms of the Thickness Coordinate to include the effect of transverse shear deformation, and the transverse displacement uses cosine function in terms of the Thickness Coordinate to include the effect of transverse normal deformation, i.e., the Thickness stretching. The present theory satisfies the zero shear stress conditions at top and bottom surfaces of the beam without using shear correction factor. Governing differential equations and associated boundary conditions of the theory are derived by employing the dynamic version of principle of virtual work. Navier-type closed-form solutions are obtained for simply supported boundary conditions. The numerical results are obtained for deflections, stresses, natural frequencies, and critical buckling loads for isotropic, laminated composite, and sandwich beams. Since exact elasticity solutions for laminated composite and sandwich beams are not available in the literature, the results are compared with those obtained by using other higher-order shear deformation theories to demonstrate the accuracy of the proposed theory.
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A new shear and normal deformation theory for isotropic, transversely isotropic, laminated composite and sandwich plates
International Journal of Mechanics and Materials in Design, 2014Co-Authors: Atteshamuddin S. Sayyad, Yuwaraj M. GhugalAbstract:In the present study, a sinusoidal shear and normal deformation theory taking into account effects of transverse shear as well as transverse normal is used to develop the analytical solution for the bidirectional bending analysis of isotropic, transversely isotropic, laminated composite and sandwich rectangular plates. The theory accounts for adequate distribution of the transverse shear strains through the plate Thickness and traction free boundary conditions on the plate boundary surface, thus a shear correction factor is not required. The displacement field uses sinusoidal function in terms of Thickness Coordinate to include the effect of transverse shear and the cosine function in terms of Thickness Coordinate is used in transverse displacement to include the effect of transverse normal. The kinematics of the present theory is much richer than those of the other higher order shear deformation theories, because if the trigonometric term is expanded in power series, the kinematics of higher order theories are implicitly taken into account to good deal of extent. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. The Navier solution for simply supported laminated composite plates has been developed. Results obtained for displacements and stresses of simply supported rectangular plates are compared with those of other refined theories and exact elasticity solution wherever applicable.
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Free vibration of thick orthotropic plates using trigonometric shear deformation theory
Latin American Journal of Solids and Structures, 2011Co-Authors: Yuwaraj M. Ghugal, Atteshamuddin S. SayyadAbstract:In this paper a trigonometric shear deformation theory is presented for the free vibration of thick orthotropic square and rectangular plates. In this displacement based theory the in-plane displacement field uses sinusoidal function in terms of Thickness Coordinate to include the shear deformation effect. The cosine function in terms of Thickness Coordinate is used in transverse displacement to include the effect of transverse normal strain. The most important feature of the theory is that the transverse shear stress can be obtained directly from the constitutive relations satisfying the shear stress free surface conditions on the top and bottom surfaces of the plate. Hence the theory obviates the need of shear correction factor. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. Results obtained for frequency of bending mode, shear mode and Thickness stretch mode of free vibration of simply supported orthotropic square and rectangular plates are compared with those of other refined theories and exact solution from theory of elasticity wherever applicable.
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Free Vibration of Thick Isotropic Plates Using Trigonometric Shear Deformation Theory
Journal of Solid Mechanics, 2011Co-Authors: Yuwaraj M. Ghugal, Atteshamuddin S. SayyadAbstract:In this paper a variationally consistent trigonometric shear deformation theory is presented for the free vibration of thick isotropic square and rectangular plate. In this displacement based theory, the in-plane displacement field uses sinusoidal function in terms of Thickness Coordinate to include the shear deformation effect. The cosine function in terms of Thickness Coordinate is used in transverse displacement to include the effect of transverse normal strain. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. Results of frequency of bending mode, Thickness-shear mode and Thickness-stretch mode are obtained from free vibration of simply supported isotropic square and rectangular plates and compared with those of other refined theories and frequencies from exact theory. Present theory yields exact dynamic shear correction factor π2/12 from Thickness shear motion of the plate.
Yuwaraj M. Ghugal - One of the best experts on this subject based on the ideXlab platform.
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Effect of Thickness stretching on the static deformations, natural frequencies, and critical buckling loads of laminated composite and sandwich beams
Journal of The Brazilian Society of Mechanical Sciences and Engineering, 2018Co-Authors: Atteshamuddin S. Sayyad, Yuwaraj M. GhugalAbstract:The present study investigates the bending, buckling, and vibration responses of shear deformable laminated composite and sandwich beams using trigonometric shear and normal deformation theory. The most important feature of the present theory is that it includes the effects of transverse shear and normal deformations, i.e., the effect of Thickness stretching. Therefore, the theory is also called as a quasi-2D theory. The axial displacement uses sine function in terms of the Thickness Coordinate to include the effect of transverse shear deformation, and the transverse displacement uses cosine function in terms of the Thickness Coordinate to include the effect of transverse normal deformation, i.e., the Thickness stretching. The present theory satisfies the zero shear stress conditions at top and bottom surfaces of the beam without using shear correction factor. Governing differential equations and associated boundary conditions of the theory are derived by employing the dynamic version of principle of virtual work. Navier-type closed-form solutions are obtained for simply supported boundary conditions. The numerical results are obtained for deflections, stresses, natural frequencies, and critical buckling loads for isotropic, laminated composite, and sandwich beams. Since exact elasticity solutions for laminated composite and sandwich beams are not available in the literature, the results are compared with those obtained by using other higher-order shear deformation theories to demonstrate the accuracy of the proposed theory.
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A new shear and normal deformation theory for isotropic, transversely isotropic, laminated composite and sandwich plates
International Journal of Mechanics and Materials in Design, 2014Co-Authors: Atteshamuddin S. Sayyad, Yuwaraj M. GhugalAbstract:In the present study, a sinusoidal shear and normal deformation theory taking into account effects of transverse shear as well as transverse normal is used to develop the analytical solution for the bidirectional bending analysis of isotropic, transversely isotropic, laminated composite and sandwich rectangular plates. The theory accounts for adequate distribution of the transverse shear strains through the plate Thickness and traction free boundary conditions on the plate boundary surface, thus a shear correction factor is not required. The displacement field uses sinusoidal function in terms of Thickness Coordinate to include the effect of transverse shear and the cosine function in terms of Thickness Coordinate is used in transverse displacement to include the effect of transverse normal. The kinematics of the present theory is much richer than those of the other higher order shear deformation theories, because if the trigonometric term is expanded in power series, the kinematics of higher order theories are implicitly taken into account to good deal of extent. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. The Navier solution for simply supported laminated composite plates has been developed. Results obtained for displacements and stresses of simply supported rectangular plates are compared with those of other refined theories and exact elasticity solution wherever applicable.
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Free vibration of thick orthotropic plates using trigonometric shear deformation theory
Latin American Journal of Solids and Structures, 2011Co-Authors: Yuwaraj M. Ghugal, Atteshamuddin S. SayyadAbstract:In this paper a trigonometric shear deformation theory is presented for the free vibration of thick orthotropic square and rectangular plates. In this displacement based theory the in-plane displacement field uses sinusoidal function in terms of Thickness Coordinate to include the shear deformation effect. The cosine function in terms of Thickness Coordinate is used in transverse displacement to include the effect of transverse normal strain. The most important feature of the theory is that the transverse shear stress can be obtained directly from the constitutive relations satisfying the shear stress free surface conditions on the top and bottom surfaces of the plate. Hence the theory obviates the need of shear correction factor. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. Results obtained for frequency of bending mode, shear mode and Thickness stretch mode of free vibration of simply supported orthotropic square and rectangular plates are compared with those of other refined theories and exact solution from theory of elasticity wherever applicable.
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Free Vibration of Thick Isotropic Plates Using Trigonometric Shear Deformation Theory
Journal of Solid Mechanics, 2011Co-Authors: Yuwaraj M. Ghugal, Atteshamuddin S. SayyadAbstract:In this paper a variationally consistent trigonometric shear deformation theory is presented for the free vibration of thick isotropic square and rectangular plate. In this displacement based theory, the in-plane displacement field uses sinusoidal function in terms of Thickness Coordinate to include the shear deformation effect. The cosine function in terms of Thickness Coordinate is used in transverse displacement to include the effect of transverse normal strain. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. Results of frequency of bending mode, Thickness-shear mode and Thickness-stretch mode are obtained from free vibration of simply supported isotropic square and rectangular plates and compared with those of other refined theories and frequencies from exact theory. Present theory yields exact dynamic shear correction factor π2/12 from Thickness shear motion of the plate.
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A STATIC FLEXURE OF THICK ISOTROPIC PLATES USING TRIGONOMETRIC SHEAR DEFORMATION THEORY
Journal of Solid Mechanics, 2010Co-Authors: Yuwaraj M. Ghugal, Atteshamuddin S. SayyadAbstract:A Trigonometric Shear Deformation Theory (TSDT) for the analysis of isotropic plate, taking into account transverse shear deformation effect as well as transverse normal strain effect, is presented. The theory presented herein is built upon the classical plate theory. In this displacement-based, trigonometric shear deformation theory, the in-plane displacement field uses sinusoidal function in terms of Thickness Coordinate to include the shear deformation effect. The cosine function in terms of Thickness Coordinate is used in transverse displacement to include the effect of transverse normal strain. It accounts for realistic variation of the transverse shear stress through the Thickness and satisfies the shear stress free surface conditions at the top and bottom surfaces of the plate. The theory obviates the need of shear correction factor like other higher order or equivalent shear deformation theories. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. Results obtained for static flexural analysis of simply supported thick isotropic plates for various loading cases are compared with those of other refined theories and exact solution from theory of elasticity. © 2010 IAU, Arak Branch. All rights reserved.
R C Batra - One of the best experts on this subject based on the ideXlab platform.
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three dimensional analysis of transient thermal stresses in functionally graded plates
International Journal of Solids and Structures, 2003Co-Authors: R C BatraAbstract:An analytical solution is presented for three-dimensional thermomechanical deformations of a simply supported functionally graded (FG) rectangular plate subjected to time-dependent thermal loads on its top and/or bottom surfaces. Material properties are taken to be analytical functions of the Thickness Coordinate. The uncoupled quasi-static linear thermoelasticity theory is adopted in which the change in temperature, if any, due to deformations is neglected. A temperature function that identically satisfies thermal boundary conditions at the edges and the Laplace transformation technique are used to reduce equations governing the transient heat conduction to an ordinary differential equation (ODE) in the Thickness Coordinate which is solved by the power series method. Next, the elasticity problem for the simply supported plate for each instantaneous temperature distribution is analyzed by using displacement functions that identically satisfy boundary conditions at the edges. The resulting coupled ODEs with variable coefficients are also solved by the power series method. The analytical solution is applicable to a plate of arbitrary Thickness. Results are given for two-constituent metal-ceramic FG rectangular plates with a power-law through-the-Thickness variation of the volume fraction of the constituents. The effective elastic moduli at a point are determined by either the Mori–Tanaka or the self-consistent scheme. The transient temperature, displacements, and thermal stresses at several critical locations are presented for plates subjected to either time-dependent temperature or heat flux prescribed on the top surface. Results are also given for various volume fractions of the two constituents, volume fraction profiles and the two homogenization schemes. 2003 Elsevier Ltd. All rights reserved.
I. Yu. Khoma - One of the best experts on this subject based on the ideXlab platform.
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ANALYTICAL SOLUTION OF THE EQUILIBRIUM EQUATIONS FOR NONTHIN ELECTROELASTIC TRANSVERSELY ISOTROPIC PLATES POLARIZED THROUGH THE Thickness
International Applied Mechanics, 2014Co-Authors: I. Yu. KhomaAbstract:A method for constructing the general analytical solution to the equations of static electroelasticity for nonthin transversely isotropic plates is outlined. Their surfaces are electroded and charged. The unknown functions are expanded into Fourier–Legendre series in the Thickness Coordinate. A system of differential equations is derived and its general solution is obtained to determine the stress state of electroelastic plates polarized through the Thickness
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Thermal stressed state of a transversely isotropic spherical shell with round hole
Materials Science, 2008Co-Authors: I. Yu. Khoma, Yu. I. Khoma, D. F. LyalyukAbstract:On the basis of the generalized theory of shells constructed by the method of expansion of unknown functions in Fourier series in the Legendre polynomials of the Thickness Coordinate, we study the problem of thermal stressed state of a gently sloping transversely isotropic spherical shell with round hole.
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Tension of a nonthin transversely isotropic plate with a noncircular cylindrical cavity
International Applied Mechanics, 2006Co-Authors: I. Yu. KhomaAbstract:The three-dimensional stress state of a transversely isotropic plate with a nearly circular cylindrical cavity is examined. The cavity surface is subject to normal and tangential stresses and the plate is subject at infinity to tensile and shear forces. The problem is solved by expanding unknown functions into Fourier-Legendre series in the Thickness Coordinate and using the boundary-shape perturbation method. The equations and recurrence formulas needed to solve the problem in an arbitrary approximation are presented
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Solving the equilibrium equations for a transversely isotropic piezoceramic plate
International Applied Mechanics, 2006Co-Authors: I. Yu. Khoma, Tat'yana Mikhailovna Proshchenko, O. A. KondratenkoAbstract:The system of equilibrium equations for nonthin transversely isotropic piezoceramic plates subject to antisymmetric (about the mid-plane) deformation is set up by expanding the unknown functions into Fourier-Legendre series in the Thickness Coordinate. To find the general solution of the system of equations, a method is proposed, which is then used to solve the stress problem for a plate with a circular hole under mechanical loading
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Thermopiezoelectric Equations for Nonthin Ceramic Shells
International Applied Mechanics, 2005Co-Authors: I. Yu. KhomaAbstract:The paper presents a method for deriving the differential equations of thermopiezoelectricity for nonthin anisotropic ceramic shells of constant Thickness. The method is based on expanding the unknown functions into Fourier’Legendre series in Thickness Coordinate
António J.m. Ferreira - One of the best experts on this subject based on the ideXlab platform.
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Analysis of Three-Layer Composite Shells by a New Layerwise Theory and Radial Basis Functions Collocation, Accounting for Through-the-Thickness Deformations
Mechanics of Advanced Materials and Structures, 2015Co-Authors: Dalal A. Maturi, António J.m. Ferreira, Ashraf M. Zenkour, Daoud S. MashatAbstract:In this article, the static and free vibration analysis of three-layer composite shells is performed by radial basis functions collocation, according to a new layerwise theory that considers independent layer rotations, accounting for through-the-Thickness deformation by considering a linear evolution of all displacements with each layer Thickness Coordinate. The equations of motion and the boundary conditions are obtained by the Carrera’s Unified Formulation, and further interpolated by collocation with radial basis functions.
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Analysis of three-layer composite plates with a new higher-order layerwise formulation
Science and Engineering of Composite Materials, 2014Co-Authors: Dalal A. Maturi, António J.m. Ferreira, Ashraf M. Zenkour, Daoud S. MashatAbstract:AbstractIn this paper, we combine a new higher-order layerwise formulation and collocation with radial basis functions for predicting the static deformations and free vibration behavior of three-layer composite plates. The skins are modeled via a first-order theory, while the core is modeled by a cubic expansion with the Thickness Coordinate. Through numerical experiments, the numerical accuracy of this strong-form technique for static and vibration problems is discussed.
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Analysis of Laminated Shells by Murakami’s Zig-Zag Theory and Radial Basis Functions Collocation
Journal of Applied Mathematics, 2013Co-Authors: Dalal A. Maturi, António J.m. Ferreira, Ashraf M. Zenkour, Daoud S. MashatAbstract:The static and free vibration analysis of laminated shells is performed by radial basis functions collocation, according to Murakami’s zig-zag (ZZ) function (MZZF) theory . The MZZF theory accounts for through-the-Thickness deformation, by considering a ZZ evolution of the transverse displacement with the Thickness Coordinate. The equations of motion and the boundary conditions are obtained by Carrera’s Unified Formulation and further interpolated by collocation with radial basis functions.
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Static analysis of functionally graded sandwich plates according to a hyperbolic theory considering Zig-Zag and warping effects
Advances in Engineering Software, 2012Co-Authors: A. M. A. Neves, António J.m. Ferreira, Erasmo Carrera, Maria Cinefra, Renato Natal Jorge, Cristóvão M. Mota SoaresAbstract:In this paper, a variation of Murakami's Zig-Zag theory is proposed for the analysis of functionally graded plates. The new theory includes a hyperbolic sine term for the in-plane displacements expansion and accounts for through-the-Thickness deformation, by considering a quadratic evolution of the transverse displacement with the Thickness Coordinate. The governing equations and the boundary conditions are obtained by a generalization of Carrera's Unified Formulation, and further interpolated by collocation with radial basis functions. Numerical examples on the static analysis of functionally graded sandwich plates demonstrate the accuracy of the present approach. The Thickness stretching effect on such problems is studied.
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Analysis of sandwich plates by Radial Basis Functions collocation, according to Murakami’s Zig-Zag theory
Journal of Sandwich Structures and Materials, 2012Co-Authors: António J.m. Ferreira, Erasmo Carrera, Maria Cinefra, Carla Maria Da Cunha Roque, Olivier PolitAbstract:In this article, the static analysis of sandwich plates is performed by radial basis functions collocation, according to the Murakami's Zig-Zag function theory. The Murakami's Zig-Zag function theory accounts for through-the-Thickness deformation, by considering a Zig-Zag evolution of the transverse displacement with the Thickness Coordinate. The equations of motion and the boundary conditions are obtained by the Carrera's unified formulation, and further interpolated by collocation with radial basis functions.
