Browsing by Author "Sangeetha, D.M."

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    Higher order refined computational models for the thermo-elastic analysis of FGM plates
    (2016) Swaminathan, K.; Sangeetha, D.M.
    Analytical formulations and solutions to the thermo-elastic analysis of Functionally Graded Material (FGM) plates hitherto not reported in the literature based on two higher-order refined computational models with 9 and 12 degrees-of-freedom already available in the literature are presented. The in-plane and the through the thickness variation of temperature is assumed to be sinusoidal and nonlinear respectively and is solved using one-dimensional steady state heat conduction equation. The accuracy of predictions of these two models is first established by comparing the results with the exact 3-D elasticity solutions already reported in the literature. Upon establishing the accuracy, numerical results are obtained for the simply supported FGM plates subjected to thermal loads with varying material and plate parameters. Studies are performed by varying the length to breadth ratio, side-to-thickness ratio and power law parameter. Bench mark results using the two models are presented for the displacements, in-plane and transverse stresses. � 2016 Taylor & Francis Group, London.
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    Higher order refined computational models for the thermo-elastic analysis of FGM plates
    (CRC Press/Balkema http://Pub.NL@taylorandfrancis.com, 2016) Swaminathan, K.; Sangeetha, D.M.
    Analytical formulations and solutions to the thermo-elastic analysis of Functionally Graded Material (FGM) plates hitherto not reported in the literature based on two higher-order refined computational models with 9 and 12 degrees-of-freedom already available in the literature are presented. The in-plane and the through the thickness variation of temperature is assumed to be sinusoidal and nonlinear respectively and is solved using one-dimensional steady state heat conduction equation. The accuracy of predictions of these two models is first established by comparing the results with the exact 3-D elasticity solutions already reported in the literature. Upon establishing the accuracy, numerical results are obtained for the simply supported FGM plates subjected to thermal loads with varying material and plate parameters. Studies are performed by varying the length to breadth ratio, side-to-thickness ratio and power law parameter. Bench mark results using the two models are presented for the displacements, in-plane and transverse stresses. © 2016 Taylor & Francis Group, London.
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    The effect of higher order model on the geometric nonlinear analysis of antisymmetric angle ply laminates
    (Smithers Rapra, 2016) Swaminathan, K.; Sangeetha, D.M.
    Geometric nonlinear analysis of simply supported antisymmetric angle-ply laminated composite plates are investigated based on first order and higher order displacement models with five degrees of freedom. Analytical formulations and solutions are developed based on Von-Karman nonlinear plate theory and Taylor's series expansion of displacement components. Equations of equilibrium are obtained using Principle of Minimum Potential Energy (PMPE) and closed form solutions using Navier's Solution technique. A four layered square plate is considered for the present study. Parametric studies are performed on both the models to study the behaviour of displacements and stresses in laminated composite plates. Comparative studies are performed on both the models and the effect of geometric nonlinearity is discussed. © 2016 Smithers Information Ltd.
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    Thermal analysis of FGM plates – A critical review of various modeling techniques and solution methods
    (Elsevier Ltd, 2017) Swaminathan, K.; Sangeetha, D.M.
    Functionally Graded Materials (FGMs) are the advanced materials in the field of composites, which can resist high temperatures and are proficient in reducing the thermal stresses. In recent decades, significant investigations are reported in the predicting the response of FGM plates subjected to thermal loads. This paper presents a comprehensive review of developments, applications, various mathematical idealizations of materials, temperature profiles, modeling techniques and solutions methods that are adopted for the thermal analysis of FGM plates. An attempt has been made to classify the various analytical and numerical methods used for the stress, vibration and buckling analyses of FGM plates under one-dimensional or three-dimensional variation of temperature with constant/linear/nonlinear temperatures profiles across the thickness. An effort has been made to focus the discussion on the various research studies carried out till recently for the thermal analysis of FGM plates. Finally, some important conclusions and the suggestions for future directions of research in this area are presented. It is felt that this review paper will serve the interests of all the academicians, researchers and engineers involved in the analysis and design of FGM plates. © 2016 Elsevier Ltd