Two dimensional stress wave propagation analysis of infinite 2D-FGM hollow cylinder

Abstract

There are controversial findings on how projectile penetration into the human tissue can induce tissue damage. The evidence from recent experimental investigations has explained the related underlying mechanisms. To understand and simulate the exact biomechanical mechanisms of projectile penetration-induced tissue damage, we evaluated effects of two-dimensional (2D) transient stress wave propagation of 2D-functionally graded material (FGM, radial and circumferential inhomogeneity) in an infinite hollow cylinder. A periodic radial and circumferential material gradation fluctuating a constant value has been considered as the effective material properties, across the cylinder wall and the problem has been solved by implementing the graded finite element method with nonlinear Lagrangian shape functions. In contrast with other researches, the stress wave propagation for $r$ and $\theta$-inhomogeneity is different compared to the case in which the $r$ or $\theta$-inhomogeneity has been considered, separately. Moreover, this example resembles the bullet penetration in human tissue that produces stress wave propagation, resulting in unintentional trauma in human organs. For the case of 1D-FGM ($r$ – inhomogeneity), the responses are pulse-like and symmetric. Finally, due to shear waves, the $\theta$-inhomogeneity has more visible effect on the stress wave propagation than $r$ – inhomogeneity due to shear waves, especially when the pulse collapses.

KEYWORDS:

• Stress wave propagation
• thick hollow cylinder
• 2D-FGMs
• FEM

Disclosure statement

No potential conflict of interest was reported by the author(s).