Yuwaraj Marotrao Ghugal | Shivaji University (original) (raw)
Papers by Yuwaraj Marotrao Ghugal
Journal of Experimental & Applied Mechanics, 2012
A trigonometric shear deformation theory for cylindrical bending of shear flexible plates taking ... more A trigonometric shear deformation theory for cylindrical bending of shear flexible plates taking into account transverse shear deformation effect is developed. The displacement field of the theory uses sinusoidal function in terms of thickness coordinate to include shear deformation effects. It has only two variables. It is to be noted that the present theory satisfies the constitutive relations in respect of transverse shear strain and stress. The transverse shear stress can be obtained directly from constitutive relation, satisfying the shear stress free boundary conditions at top and bottom surfaces of the plate. Hence, the theory requires no shear factor. Governing equations and boundary conditions of the theory are obtained by using principle of virtual work. The results from closed form solution obtained for inplane and transverse displacements and bending and shear stresses for three load cases, viz; single sine load, uniformly distributed load, and concentrated load are presented in this paper. The results are compared with those of classical plate theory and first order shear deformation theory to validate the accuracy of the theory. Keywords: Trigonometric shear deformation theory, cylindrical bending, transverse shear stress, thick plate, displacement based theory, closed – form solution
Journal of the Serbian Society for Computational Mechanics, Oct 31, 2018
Latin American Journal of Solids and Structures, Jun 1, 2011
Acta Mechanica, Apr 18, 2023
Journal of Experimental & Applied Mechanics, Dec 31, 2010
A trigonometric shear deformation theory is used for flexural analysis of thick beams, taking int... more A trigonometric shear deformation theory is used for flexural analysis of thick beams, taking into account transverse shear deformation effect. The theory accounts for cosine distribution of transverse shear strain through the thickness of the beam. The governing differential equations and boundary conditions are obtained by using the principle of virtual work. The general solutions for the transverse displacement and rotation are presented for transversely loaded beams. The solutions for static flexure are given for beams with fixed end and subjected to uniformly distributed load and concentrated load. The solutions obtained address the accurate flexural behavior of shear deformable beams. It has been shown that the theory is capable of predicting the local effects due to concentrated load and fixity of support. The results of displacements and stresses obtained from static flexure of cantilever and fixed beams and results of free vibration frequencies for simply supported beam are presented and discussed critically with those of other theories. The results are found to agree well with the exact elasticity results wherever applicable. It is observed that the present theory yields the exact shear coefficient ( p 2 /12) from the free vibration analysis of the simply supported beam. Keywords: Thick beam, trigonometric shear deformation, principle of virtual work, equilibrium equations, transverse deflection, axial stress, transverse shear stress, free vibration.
Journal of Reinforced Plastics and Composites, Nov 1, 1999
A Layerwise Trigonometric Shear Deformation Theory (LTSDT) for the analysis of two layered cross-... more A Layerwise Trigonometric Shear Deformation Theory (LTSDT) for the analysis of two layered cross-ply laminated beams, taking into account discrete layer transverse shear deformation effects, is presented. The theory is as simple as the first order shear deformation theory and does not require shear correction factor. The sinusoidal function is used in the displacement field in terms of thickness coordinate to represent shear deformation. The most important feature of the theory is that the transverse shear stress can be obtained directly from the use of constitutitve relations, satisfying the stress-free boundary conditions at top and bottom of the beam and satisfying continuity at the interface. Governing differential equations and boundary conditions of the theory are obtained using the principle of virtual work. The system of governing differential equations is reduced to a single sixth order linear differential equation. A two layered asymmetric cross-ply laminated beam is considered for the numerical study to validate the accuracy of the theory.
Latin American Journal of Solids and Structures, Jul 1, 2013
Journal of Reinforced Plastics and Composites, Jun 1, 2002
A review of displacement and stress based refined theories for isotropic and anisotropic laminate... more A review of displacement and stress based refined theories for isotropic and anisotropic laminated plates is presented. Various equivalent single layer and layerwise theories for laminated plates are discussed together with their merits and demerits. Exact elasticity solutions for the plate problems are cited, wherever available. Various critical issues related to plate theories are presented, based on the literature reviewed.
Journal of the Serbian Society for Computational Mechanics, Nov 1, 2022
International journal of engineering applied science and technology, Jul 31, 2019
Composites: mechanics, computations, applications, 2020
Journal of Reinforced Plastics and Composites, Aug 16, 2005
This article deals with the results of an experimental investigation on the glass fiber modified ... more This article deals with the results of an experimental investigation on the glass fiber modified properties of structural concrete. Alkali-resistant glass fibers are used in this investigation. The effects of these fibers on workability, density, and on various strengths of M20 grade concrete are studied. Fiber content varies from 0.5 to 4.5% by weight of cement. The various strengths considered for investigation are compressive strength, flexural strength, split tensile strength, and bond strength. Cubes of 150 mm for compressive and bond strengths, cylinders of 150 mm diameter 300 mm length for split tensile strength, beams of 100 × 100 × 500 mm for flexural strength are cast. All the specimens are water cured and tested after 28 days. Workability of wet mix is found to be reduced with increased fiber content. Ductility of concrete is found to increase in glass fiber reinforced concrete (GFRC) as observed from the study of load-deflection behavior. New expressions for various strengths are proposed. Results of elastic constants obtained by various methods and newly proposed expressions are presented. A significant improvement in the various strengths is observed due to inclusion of glass fibers in the concrete. Optimum fiber content is found to be strength dependent.
Journal of Experimental & Applied Mechanics, Jun 28, 2011
Hyperbolic shear deformation theory is used for the flexural analysis of isotropic plates with va... more Hyperbolic shear deformation theory is used for the flexural analysis of isotropic plates with various loading cases. The theory takes account effect of transverse shear deformation. The transverse shear strains distribution through the thickness of the plate varies according to hyperbolic cosine function. T he 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 does not require shear correction factor. Governing equations and boundary conditions are derived from the principle of virtual work. The closed-form solutions for simply supported plates subjected to various transverse loading cases are obtained. Numerical results are obtained by the present theory are compared with those of classical plate theory, first-order shear deformable theory, higher order theories and the exact theory available in the literature. The results obtained by present theory are in excellent agreement with those of exact results and other higher order theories. Thus the efficacy of the present refined theory is established. Keywords: Hyperbolic shear deformation theory, Flexural analysis, Elastic plates, Transverse s
Composites: mechanics, computations, applications, 2014
Journal of Aerospace Engineering & Technology, Apr 2, 2011
Hyperbolic shear deformation theory is used to determine the natural frequencies and buckling loa... more Hyperbolic shear deformation theory is used to determine the natural frequencies and buckling loads of elastic plates. The theory takes account of transverse shear effects and hyperbolic cosine distribution of the transverse shear strains through the thickness of the plate, hence it does not require shear correction factor. Governing equations are derived from the principle of virtual work. The closed-form solution of a simply supported plate subjected to in-plane loading has been obtained. Numerical results obtained by the present theory are compared with those of classical plate theory, first-order shear deformable theory, higher order theories and the exact theory available in the literature. The results obtained by present theory are in excellent agreement with the exact results and other higher order theories. Thus the credibility of the present refined theory is validated. Keywords: Hyperbolic shear deformation theory, Buckling analysis, Free vibration, Isotropic plate, Orthotropic plate.
Mechanics of composite materials and structures, Oct 1, 2000
ABSTRACT
Composites: Mechanics, Computations, Applications: An International Journal
The present study investigates the bending behavior of a functionally graded beam under transvers... more The present study investigates the bending behavior of a functionally graded beam under transverse loads (sinusoidal and uniform) using trigonometric shear deformation theory (TSDT). Boundary-value problems are derived using principle of virtual work. The Navier-type closed-form solution is obtained under simply supported boundary conditions. The material properties across the thickness directions vary according to the exponential law of distribution. The present theory does not need a problem-dependent shear correction factor since it accurately accounts for the distribution of transverse shear stress across the beam thickness. Results from higher-order shear and normal deformation theory (HOSNT), exact elasticity theory, and other theories are compared with the current approach to ensure its accuracy and efficacy. The results of present theory is in excellent agreement with the exact elasticity theory.
Journal of the Serbian Society for Computational Mechanics
In the present paper, an attempt has been made to study the effect of temperature gradient on sim... more In the present paper, an attempt has been made to study the effect of temperature gradient on simply supported symmetric sandwich beam. A Navier’s solution technique is used. The temperature profile is assumed to be linear across the thickness of a sandwich beam. A higher order beam theory (HBT) is used to include the effect of shear deformation on thermal flexural response of the sandwich beam. The theory satisfies the shear stress free boundary condition at the top and bottom surfaces of the sandwich beam. No shear correction factor is required. The principle of virtual work is used to obtain the governing equations and boundary conditions. A program has been developed in FORTRAN-77 to obtain thermal stresses and displacements in the sandwich beam for various aspect ratios. The numerical results are presented for moderately thick and thin sandwich beams to assess the performance of the theory. The validity of the present theory is verified by comparing the results with the resul...
Composites: Mechanics, Computations, Applications, An International Journal, 2021
Journal of Experimental & Applied Mechanics, 2012
A trigonometric shear deformation theory for cylindrical bending of shear flexible plates taking ... more A trigonometric shear deformation theory for cylindrical bending of shear flexible plates taking into account transverse shear deformation effect is developed. The displacement field of the theory uses sinusoidal function in terms of thickness coordinate to include shear deformation effects. It has only two variables. It is to be noted that the present theory satisfies the constitutive relations in respect of transverse shear strain and stress. The transverse shear stress can be obtained directly from constitutive relation, satisfying the shear stress free boundary conditions at top and bottom surfaces of the plate. Hence, the theory requires no shear factor. Governing equations and boundary conditions of the theory are obtained by using principle of virtual work. The results from closed form solution obtained for inplane and transverse displacements and bending and shear stresses for three load cases, viz; single sine load, uniformly distributed load, and concentrated load are presented in this paper. The results are compared with those of classical plate theory and first order shear deformation theory to validate the accuracy of the theory. Keywords: Trigonometric shear deformation theory, cylindrical bending, transverse shear stress, thick plate, displacement based theory, closed – form solution
Journal of the Serbian Society for Computational Mechanics, Oct 31, 2018
Latin American Journal of Solids and Structures, Jun 1, 2011
Acta Mechanica, Apr 18, 2023
Journal of Experimental & Applied Mechanics, Dec 31, 2010
A trigonometric shear deformation theory is used for flexural analysis of thick beams, taking int... more A trigonometric shear deformation theory is used for flexural analysis of thick beams, taking into account transverse shear deformation effect. The theory accounts for cosine distribution of transverse shear strain through the thickness of the beam. The governing differential equations and boundary conditions are obtained by using the principle of virtual work. The general solutions for the transverse displacement and rotation are presented for transversely loaded beams. The solutions for static flexure are given for beams with fixed end and subjected to uniformly distributed load and concentrated load. The solutions obtained address the accurate flexural behavior of shear deformable beams. It has been shown that the theory is capable of predicting the local effects due to concentrated load and fixity of support. The results of displacements and stresses obtained from static flexure of cantilever and fixed beams and results of free vibration frequencies for simply supported beam are presented and discussed critically with those of other theories. The results are found to agree well with the exact elasticity results wherever applicable. It is observed that the present theory yields the exact shear coefficient ( p 2 /12) from the free vibration analysis of the simply supported beam. Keywords: Thick beam, trigonometric shear deformation, principle of virtual work, equilibrium equations, transverse deflection, axial stress, transverse shear stress, free vibration.
Journal of Reinforced Plastics and Composites, Nov 1, 1999
A Layerwise Trigonometric Shear Deformation Theory (LTSDT) for the analysis of two layered cross-... more A Layerwise Trigonometric Shear Deformation Theory (LTSDT) for the analysis of two layered cross-ply laminated beams, taking into account discrete layer transverse shear deformation effects, is presented. The theory is as simple as the first order shear deformation theory and does not require shear correction factor. The sinusoidal function is used in the displacement field in terms of thickness coordinate to represent shear deformation. The most important feature of the theory is that the transverse shear stress can be obtained directly from the use of constitutitve relations, satisfying the stress-free boundary conditions at top and bottom of the beam and satisfying continuity at the interface. Governing differential equations and boundary conditions of the theory are obtained using the principle of virtual work. The system of governing differential equations is reduced to a single sixth order linear differential equation. A two layered asymmetric cross-ply laminated beam is considered for the numerical study to validate the accuracy of the theory.
Latin American Journal of Solids and Structures, Jul 1, 2013
Journal of Reinforced Plastics and Composites, Jun 1, 2002
A review of displacement and stress based refined theories for isotropic and anisotropic laminate... more A review of displacement and stress based refined theories for isotropic and anisotropic laminated plates is presented. Various equivalent single layer and layerwise theories for laminated plates are discussed together with their merits and demerits. Exact elasticity solutions for the plate problems are cited, wherever available. Various critical issues related to plate theories are presented, based on the literature reviewed.
Journal of the Serbian Society for Computational Mechanics, Nov 1, 2022
International journal of engineering applied science and technology, Jul 31, 2019
Composites: mechanics, computations, applications, 2020
Journal of Reinforced Plastics and Composites, Aug 16, 2005
This article deals with the results of an experimental investigation on the glass fiber modified ... more This article deals with the results of an experimental investigation on the glass fiber modified properties of structural concrete. Alkali-resistant glass fibers are used in this investigation. The effects of these fibers on workability, density, and on various strengths of M20 grade concrete are studied. Fiber content varies from 0.5 to 4.5% by weight of cement. The various strengths considered for investigation are compressive strength, flexural strength, split tensile strength, and bond strength. Cubes of 150 mm for compressive and bond strengths, cylinders of 150 mm diameter 300 mm length for split tensile strength, beams of 100 × 100 × 500 mm for flexural strength are cast. All the specimens are water cured and tested after 28 days. Workability of wet mix is found to be reduced with increased fiber content. Ductility of concrete is found to increase in glass fiber reinforced concrete (GFRC) as observed from the study of load-deflection behavior. New expressions for various strengths are proposed. Results of elastic constants obtained by various methods and newly proposed expressions are presented. A significant improvement in the various strengths is observed due to inclusion of glass fibers in the concrete. Optimum fiber content is found to be strength dependent.
Journal of Experimental & Applied Mechanics, Jun 28, 2011
Hyperbolic shear deformation theory is used for the flexural analysis of isotropic plates with va... more Hyperbolic shear deformation theory is used for the flexural analysis of isotropic plates with various loading cases. The theory takes account effect of transverse shear deformation. The transverse shear strains distribution through the thickness of the plate varies according to hyperbolic cosine function. T he 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 does not require shear correction factor. Governing equations and boundary conditions are derived from the principle of virtual work. The closed-form solutions for simply supported plates subjected to various transverse loading cases are obtained. Numerical results are obtained by the present theory are compared with those of classical plate theory, first-order shear deformable theory, higher order theories and the exact theory available in the literature. The results obtained by present theory are in excellent agreement with those of exact results and other higher order theories. Thus the efficacy of the present refined theory is established. Keywords: Hyperbolic shear deformation theory, Flexural analysis, Elastic plates, Transverse s
Composites: mechanics, computations, applications, 2014
Journal of Aerospace Engineering & Technology, Apr 2, 2011
Hyperbolic shear deformation theory is used to determine the natural frequencies and buckling loa... more Hyperbolic shear deformation theory is used to determine the natural frequencies and buckling loads of elastic plates. The theory takes account of transverse shear effects and hyperbolic cosine distribution of the transverse shear strains through the thickness of the plate, hence it does not require shear correction factor. Governing equations are derived from the principle of virtual work. The closed-form solution of a simply supported plate subjected to in-plane loading has been obtained. Numerical results obtained by the present theory are compared with those of classical plate theory, first-order shear deformable theory, higher order theories and the exact theory available in the literature. The results obtained by present theory are in excellent agreement with the exact results and other higher order theories. Thus the credibility of the present refined theory is validated. Keywords: Hyperbolic shear deformation theory, Buckling analysis, Free vibration, Isotropic plate, Orthotropic plate.
Mechanics of composite materials and structures, Oct 1, 2000
ABSTRACT
Composites: Mechanics, Computations, Applications: An International Journal
The present study investigates the bending behavior of a functionally graded beam under transvers... more The present study investigates the bending behavior of a functionally graded beam under transverse loads (sinusoidal and uniform) using trigonometric shear deformation theory (TSDT). Boundary-value problems are derived using principle of virtual work. The Navier-type closed-form solution is obtained under simply supported boundary conditions. The material properties across the thickness directions vary according to the exponential law of distribution. The present theory does not need a problem-dependent shear correction factor since it accurately accounts for the distribution of transverse shear stress across the beam thickness. Results from higher-order shear and normal deformation theory (HOSNT), exact elasticity theory, and other theories are compared with the current approach to ensure its accuracy and efficacy. The results of present theory is in excellent agreement with the exact elasticity theory.
Journal of the Serbian Society for Computational Mechanics
In the present paper, an attempt has been made to study the effect of temperature gradient on sim... more In the present paper, an attempt has been made to study the effect of temperature gradient on simply supported symmetric sandwich beam. A Navier’s solution technique is used. The temperature profile is assumed to be linear across the thickness of a sandwich beam. A higher order beam theory (HBT) is used to include the effect of shear deformation on thermal flexural response of the sandwich beam. The theory satisfies the shear stress free boundary condition at the top and bottom surfaces of the sandwich beam. No shear correction factor is required. The principle of virtual work is used to obtain the governing equations and boundary conditions. A program has been developed in FORTRAN-77 to obtain thermal stresses and displacements in the sandwich beam for various aspect ratios. The numerical results are presented for moderately thick and thin sandwich beams to assess the performance of the theory. The validity of the present theory is verified by comparing the results with the resul...
Composites: Mechanics, Computations, Applications, An International Journal, 2021