Springbackward Phenomenon of a Transversely Isotropic Functionally Graded Composite Cylindrical Shell

Document Type: Research Paper

Authors

1 Department of Mathematics, RTM Nagpur University, Nagpur, India.

2 Deptt. of Mathematics, Shri Lemdeo Patil Mahavidyalya, Nagpur, India.

3 Deptt. of Mathematics, RTM Nagpur University, Nagpur, India.

Abstract

This study provides an approach to predict the springback phenomenon during post-solidification cooling in a functionally graded hybrid composite cylindrical shell with a transverse isotropic structure. Here, the material properties are given with a general parabolic power-law function. During the theoretical analysis, an appropriate transformation is introduced in the equilibrium equation, which is resulting in a hypergeometrical differential equation. Thermoelastic solutions are obtained and analyzed for a homogeneous, nonhomogeneous, and elastic-plastic state. The solution is validated by applying it to the multilayered functionally graded cylindrical shell using the transfer or propagator matrix method.

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Main Subjects

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