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22 articles for “Elastic plates”
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Vibration of visco-elastic parallelogram plate with linearly thickness variations in both directions
Abstract: An analysis for free transverse vibrations of visco-elastic parallelogram plate whose thickness varies linearly in both directions is presented. Using the separation of variables method and Rayleigh-Ritz technique with a two-term deflection function, the governing differential equation has been solve for vibration of visco-elastic parallelogram plate. For the visco-elastic case, the basic elastic and viscous elements are combined. The Kelvin model for visco-elasticity that is a combination of the elastic …
Published in Journal of Experimental & Applied Mechanics · Vol. 1, Issue 1, 2010 · pp. 28–49 Read article
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Non-Homogeneous Effect on Vibration of Visco-Elastic Rectangular Plate Having Parabolically Varying Thickness in Both Directions
Abstract: At present the vibration theory has become significant in every sphere of applied sciences. In the advance time, the plates of variable thickness are widely used in civil, aeronautical, mechanical, electronics and marine structures like jet engines designing, space crafts, gas turbines, nuclear power projects etc. The effect of variation of non-homogeneity on vibration of visco-elastic rectangular plate with parabolically varying thickness in both directions is presented in this paper. …
Published in Journal of Experimental & Applied Mechanics · Vol. 9, Issue 3, 2018 · pp. 31–45 Read article
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Flexural Analysis of Thick Plates by Hyperbolic Shear Deformation Theory
Abstract: 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. 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 …
Published in Journal of Experimental & Applied Mechanics · Vol. 2, Issue 1, 2011 · pp. 17–37 Read article
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A Technical Review on Design of Cupped Spring Washer in Automobile Clutch
Abstract: In current scenario, in automotive industry, in clutch division, major challenge is to reduce the rattling noise and vibration. Thus most of the industries are adopting the concept of controlling hysteresis by virtue of introducing the cupped washer design in clutch disc assembly. In this project, we will model the cupped washer based on the size and geometry of the clutch, and carry out calculations of load and deflection to …
Published in Trends in Machine design · Vol. 5, Issue 1, 2018 · pp. 1–4 Read article
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Buckling and vibration of plates by hyperbolic shear deformation theory
Abstract: 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 …
Published in Journal of Aerospace Engineering & Technology · Vol. 1, Issue 1, 2011 · pp. 1–12 Read article
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Thermo-Mechanical Vibration Analysis of Simply Supported Laminated and Flat Plates Under Harmonic Loading
Abstract: This paper delves into a numerical exploration of the vibration characteristics and frequency response of two types of plates: a simply supported rectangular laminated plate and a simply supported flat plate. These plates are subjected to concentrated harmonic forces within a thermal environment. The determination of the critical buckling temperature guides the assessment of thermal load effects. Analytical formulations, incorporating first-order shear deformation theory (FSDT) to consider shear deformation and …
Published in Journal of Polymer & Composites · Vol. 14, Issue 2, 2026 · pp. 1519–1530 Read article
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Natural Frequency of Plate by Using Rayleigh Ritz Method with Varying Thickness and Thermal Effect
Abstract: Plate systems had been intensively used in a diffusion of engineering disciplines concerning civil engineering, aerospace, construction zone, nuclear flowers, electricity flora, marine engineering. It may additionally use for production of wings and tails of the plane, rockets and missiles etc. A through expertise of their vibrational characteristics in conjunction with specific thermal conditions is of extremely good significance to engineers and architects ensuring reliability in layout procedure. In this …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 1, 2020 · pp. 28–33 Read article
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Bidirectional Bending of Laminated Plates Using Trigonometric Shear Deformation Theory
Abstract: Bidirectional bending analysis of symmetric cross-ply laminated plates using trigonometric shear deformation theory is presented. Theory takes into account of transverse shear deformation effect without transverse strain effect. Theory uses sinusoidal function in the displacement field in terms of thickness coordinate to include shear deformation effects. It has only three variables. It is to be noted that the present theory satisfies the constitutive relations in respect of transverse shear strain …
Published in Journal of Experimental & Applied Mechanics · Vol. 4, Issue 1, 2013 · pp. 1–7 Read article
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Crack Initiation, Propagation and Stress Intensity Factor of Rectangular Plate with Circular Hole by FEA Approach
Abstract: The study of crack behavior in a plate with hole is a considerable importance in the design to avoid the failure. This situation has a look at offers with investigation of stress intensity factor, von-mises stress (ϭ von-mises) at the finite center cracked plate subjected to uniform tensile loading depends at the assumptions of linear elastic fracture mechanics (LEFM) and plane strain problem. The stress intensity factors mode I (KI) …
Published in Journal of Experimental & Applied Mechanics · Vol. 11, Issue 3, 2020 · pp. 13–36 Read article
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Vibration Mechanics of Hybrid Al 5083/SiCp/Fly Ash Composite Plates for its Use in Dynamic Structures
Abstract: Metal Matrix composites are a unique class of materials, with specific characteristics. The selection of reinforcement phase for reinforcing the metal matrix depends on many parameters and is a major concern, Silicon carbide particulates (SiCp) enhances the hardness of specimens but on the other hand it induces brittleness in the specimen which is of major concern, henceforth fly ash particulates are thought of as an alternative reinforcement for improving the …
Published in Journal of Experimental & Applied Mechanics · Vol. 8, Issue 1, 2017 · pp. 11–18 Read article
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Thermal Analysis of Isotropic and Orthotropic Plate by Trigonometric Shear Deformation Theory
Abstract: 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. 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 …
Published in Journal of Geotechnical Engineering · Vol. 9, Issue 4, 2022 · pp. 38–59 Read article
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Thermal Analysis of Isotropic and Orthotropic Plate By Trignometric Shear Deformation Theory
Abstract: 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. 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 …
Published in Journal of Geotechnical Engineering · Vol. 8, Issue 2, 2021 · pp. 38–59 Read article
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Thermo-mechanical Analysis of Orthotropic plate under Sinusoidally Distributed Thermal load by using Trigonometric shear Deformation Theory (TSDT)
Abstract: For the thermal analysis of simply supported square and rectangular plates applied to sinusoidaldistributed linear thermal load throughout the plate thickness and in combination with sinusoidaldistributed transverse mechanical loading, a trigonometric shear deformation theory is proposed. Inthis work, a sinusoidal function in terms of thickness coordinates is being used in the displacement fieldin conjunction with the transverse shear deformation effect. The normal and shear stress can bedetermined by using the …
Published in Journal of Experimental & Applied Mechanics · Vol. 12, Issue 3, 2021 · pp. 10–33 Read article
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Thermo-mechanical Analysis of Orthotropic plate under Sinusoidally Distributed Thermal load by using Trigonometric shear Deformation Theory (TSDT)
Abstract: For the thermal analysis of simply supported square and rectangular plates applied to sinusoidal distributed linear thermal load throughout the plate thickness and in combination with sinusoidal distributed transverse mechanical loading, a trigonometric shear deformation theory is proposed. In this work, a sinusoidal function in terms of thickness coordinates is being used in the displacement field in conjunction with the transverse shear deformation effect. The normal and shear stress can …
Published in Journal of Experimental & Applied Mechanics · Vol. 13, Issue 4, 2022 Read article
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Mohr's circle for stress in planes and Stress-Strain Relation for Elasticity Equations and Stress-Strain Analysis
Abstract: The distribution of stress and strain in thin films and substrates resulting from inhomogeneous plane stresses created in the film during deposition is calculated and reported. The findings can be used to determine the unknown stresses in a film using the "bending plate method," which measures the deformation of the substrate surface By doing this, Theoretically, the local values of the stress tensor within the film plane and the centre …
Published in Journal of Experimental & Applied Mechanics · Vol. 13, Issue 2, 2022 · pp. 16–21 Read article
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Impact of Fracture in Geometrical, Material, and Load Rate Characteristics on J-Integral
Abstract: The present study investigates the influence of load rate, geometrical parameters, and material properties on the J-integral behavior of AA2050-T84 aluminum-lithium alloy using three-dimensional elastic–plastic fracture mechanics (EPFM) analysis. Finite element simulations were carried out using the ABAQUS software to evaluate crack driving forces in compact tension (C(T)) specimens under various mechanical and thermal conditions. The study focuses on the combined effects of strain rate, temperature-dependent strain hardening, specimen thickness …
Published in International Journal of Fracture Mechanics and Damage Science · Vol. 4, Issue 1, 2026 · pp. 38–45 Read article
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Computation of Different Stresses Acting on Cantilever Beam Using Hyperbolic Shear Deformation Theory
Abstract: The shear deformation effects are more significant in the thick beams. The classical beam theory (ETB) is based on Bernoulli-Euler hypothesis and the classical plate theory (CPT) is based on Kirchhoff’s hypothesis. The shear deformation effects are more pronounced in the thick beams when subjected to transverse loads than in the thin beams under same loading condition. These effects are neglected in elementary theory of beam (ETB). In order to …
Published in Journal of Structural Engineering and Management · Vol. 4, Issue 1, 2017 · pp. 7–18 Read article
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Evaluation of T-stress using FEM in an Unsymmetrical Cracks Emanating from a Hole Placed Centrally in a Thin Plate
Abstract: Studying the impact of higher order terms of the William’s series expansion on fracture mechanics problems has received more attention in recent years. Research has demonstrated that the constant term T-stress has a significant impact on the stress and strain fields around the crack tip. In response to mixed mode (I/II) loading, a number of fracture criteria had been developed to characterize failure in linear elastic bodies. When evaluating the …
Published in Journal of Materials & Metallurgical Engineering · Vol. 14, Issue 2, 2024 · pp. 09–20 Read article
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Analysis of Anchored Sheet Pile Wall Using Finite Element Method
Abstract: A numerical parametric study using the finite element program of OPTUM G2 was performed on single, double, and triple anchored sheet piles systems retaining sandy soil. The present paper evaluates the variation of maximum shear force distribution, bending moment distribution, and displacement of soil and sheet pile wall concerning different depths of excavation, embedded depth of sheet pile wall, and position of anchor in retention system. Flexible plate elements, Mohr-coulomb …
Published in Journal of Geotechnical Engineering · Vol. 8, Issue 2, 2021 · pp. 21–28 Read article
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A methodology for the determination of bearing capacity of granular soils with plate loading tests
Abstract: In granular soils, due to the inability to collect undisturbed samples of soil for geotechnical laboratory tests or the impracticality of carrying out dynamic penetration tests, highlights the necessity to find a useful approach in the engineering geological practice for the determination of bearing capacity. In these soils the determination of bearing capacity can be evaluated with several formula that necessary require the estimation of the friction angle: this leads …
Published in Journal of Geotechnical Engineering · Vol. 7, Issue 1, 2020 · pp. 1–8 Read article