Two-Dimensional Stress-Wave Propagation in Finite-Length FG Cylinders with Two-Directional Nonlinear Grading Patterns Using the MLPG Method
Publication: Journal of Engineering Mechanics
Volume 140, Issue 3
Abstract
The application of meshless local integral equations based on the meshless local Petrov-Galerkin (MLPG) method for the two-dimensional (2D) dynamic stress analysis of a 2D functionally graded (FG) cylinder with two-directional grading patterns is developed. It is assumed that the inner bounding surface of the cylinder is excited by mechanical shock loading. The problem is studied in the frequency domain using the Laplace transformation, and then the stresses are transferred to the time domain using Talbot techniques. The mechanical properties of the FG materials (FGMs) are simulated using a nonlinear model with radial and axial volume fractions. The 2D propagation of stresses is tracked through the radial and axial directions in a 2D domain for various grading patterns at various time instants. By using the presented meshless technique, the maximum values of the stresses are calculated. The effects of various grading patterns on the maximum values of the stresses are studied in detail. The presented formulations based on the MLPG method furnish the groundwork for 2D stress-wave propagation in FGMs with two-directional grading patterns.
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Published In
Journal of Engineering Mechanics
Volume 140 • Issue 3 • March 2014
Pages: 575 - 592
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Dec 13, 2012
Accepted: May 31, 2013
Published online: Jun 3, 2013
Published in print: Mar 1, 2014
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