The mathematical difficulty of dealing with three dimensional elasticity equations for complex structural problems and physical simplicity of reducing the (comparatively small) thickness dimension in most of the 3D geometries has motivated the researchers to develop approximate yet reliable two dimensional (2D) models for theory of plates and shells. Our group has earlier worked on the higher order shear and normal deformation theories (HOSNT) and shown its accuracy for various structural forms. With the advancement in material manufacturing and development of architectured materials, the necessity of reliable and computationally efficient 2D models is continuously being realized. We have shown the accuracy of HOSNT model for functionally graded (FG) sandwich structures.

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Our earlier works have shown comparison of various hierarchical kinematic models and applications of refined thickness criterion for moderately thick plates and shell structures. Presently, our group is working closely to improve the transverse stress response of classical models through efficient stress recovery approaches and also we are extending these 2D theories for the thermo-mechanical response of carbon nano-tube reinforced composites.

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Reference works:

• Punera, D. and Kant, T., 2020. An assessment of refined hierarchical kinematic models for the bending and free vibration analyses of laminated and functionally graded sandwich cylindrical panels, Journal of Sandwich structures and Materials. (In press) Read  Download
• Punera, D. and Kant, T., 2019. A critical review of stress and vibration analyses of functionally graded shell structures, Composite Structures, 210; pp. 787-809. Read  Download
• Punera, D., Kant, T., and Desai, Y. M., 2018. Thermo-elastic Analysis of Laminated and Functionally Graded Sandwich Cylindrical Shells with Two Refined Higher Order Models, Journal of Thermal Stresses, 41(1); pp. 54-79. Read  Download
• Punera, D. and Kant, T., 2017. Elastostatics of Laminated and Functionally Graded Sandwich Cylindrical Shells with Two Refined Higher Order Models, Composite Structures, 182; pp. 505-523. Read  Download
• Punera, D. and Kant, T., 2017. Free Vibration of Functionally Graded Open Cylindrical Shells based on Several Refined Higher Order Displacement Models, Thin Walled Structures, 119C; pp. 707-726. Read  Download