Low Velocity Normal Impact Performance of Functionally Graded Conical Shell with Simple Power Law

Abstract

The current study deals with the problem of functionally graded untwisted and pretwisted conical shells under to low-velocity normal impact by a spherical mass striker. A numerical solution technique is developed to solve and predict the impact performance in terms of contact force, impactor displacement, impactor velocity and target displacement of the FG conical shells with different simple power law exponent. A modified Hertzian contact theory considering permanent depression is used to calculate the contact force along with other impact performance parameters. Using the Newmark’s time integration scheme the dynamic equations are solved. Isoparametric shell element with eight nodes is considered for the current finite element model. Parametric observations are performed to see the effects of prime parameters like impactor initial velocity, twist angle and different power law exponent for Ti–6Al–4V-ZrO2 functionally graded conical shell under low velocity normal impact condition. The effects of impactor initial velocity, twist angle of conical shell and the constituent volume fraction of FGM configuration through power law index on the transient impact performance of the conical shell are examined and analyzed.