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Structural Engineering and Mechanics Volume 53, Number 4, February25 2015 , pages 661-679 DOI: https://doi.org/10.12989/sem.2015.53.4.661 |
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Large deformation bending analysis of functionally graded spherical shell using FEM |
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Vishesh Ranjan Kar and Subrata Kumar Panda
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| Abstract | ||
| In this article, nonlinear finite element solutions of bending responses of functionally graded spherical panels are presented. The material properties of functionally graded material are graded in thickness direction according to a power-law distribution of volume fractions. A general nonlinear mathematical shallow shell model has been developed based on higher order shear deformation theory by taking the geometric nonlinearity in Green-Lagrange sense. The model is discretised using finite element steps and the governing equations are obtained through variational principle. The nonlinear responses are evaluated through a direct iterative method. The model is validated by comparing the responses with the available published literatures. The efficacy of present model has also been established by demonstrating a simulation based nonlinear model developed in ANSYS environment. The effects of power-law indices, support conditions and different geometrical parameters on bending behaviour of functionally graded shells are obtained and discussed in detail. | ||
| Key Words | ||
| FGM; nonlinear bending; Green-Lagrange nonlinearity; HSDT; FEM | ||
| Address | ||
| Vishesh Ranjan Kar and Subrata Kumar Panda: Department of Mechanical Engineering, National Institute of Technology, Rourkela, India | ||