Abstract

This paper presents low velocity impact response of functionally graded pretwisted conical shells. The modified Hertzian contact law which accounts for permanent indentation is utilized to compute the contact force and other impact parameter. The time dependent equations are solved by Newmark's time integration scheme. An eight noded isoparametric quadratic element is employed in the present finite element formulation. A parametric study is carried out to investigate the effects of triggering parameters like initial velocity of impactor, twist angle, oblique impact angle, location of impact for Stainless Steel-Nickel functionally graded conical shell subjected to low velocity impact.

Highlights

  • Graded materials (FGM) have gained immense popularity as advanced engineering materials due to its high corrosion and heat resistance properties along with high strength and stiffness

  • Even though the main application of functionally graded material is in the area of thermal field where the temperature gradient is significantly high, the present study is addressed to the combined effect of twist and impact response on the the functionally graded conical shell which is idealized as turbomachinery blade

  • In case of spanwise direction, the peak value of contact force is found to decrease as the point of impact moves from fixed end to free end of the functionally graded cantilever conical shells wherein the loading duration is found to increase from free end to fixed end

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Summary

INTRODUCTION

Graded materials (FGM) have gained immense popularity as advanced engineering materials due to its high corrosion and heat resistance properties along with high strength and stiffness. Stainless Steel-Nickel functionally graded material is investigated to address the effects of the twist angle, volume fraction, initial velocity of impactor and location of impact, on transient dynamic response subjected to low velocity impact. To the best of the authors’ knowledge and considering the review of the open literature, it is revealed that the combined effect of oblique impact and twist on functionally graded shallow conical shell structure has not received due attention. The finite element analyses are carried out using an eight-noded isoparametric quadratic element considering the effects of triggering parameters like the twist angle, location of impact, oblique impact angle

GOVERNING EQUATIONS
MODIFIED CONTACT LAW
FINITE ELEMENT FORMULATION
Si 0 i 1
RESULTS AND DISCUSSION
Effect of material property graded index
Effect of oblique impact
CONCLUSIONS
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