Two Dimensional Stress and Displacement Wave Propagation Under Shock Loading in Saturated Porous Materials with Two Dimensional Functionally Graded Materails Using MLPG Method

Kazemi, H.; Shahabian, F.; Hosseini, S. M.

doi:10.22060/ceej.2017.12762.5262

Two Dimensional Stress and Displacement Wave Propagation Under Shock Loading in Saturated Porous Materials with Two Dimensional Functionally Graded Materails Using MLPG Method

Document Type : Research Article

Authors

¹ Civil Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

² Industrial Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad,Mashhad, Iran

10.22060/ceej.2017.12762.5262

Abstract

The meshless local Petrov-Galerkin (MLPG) method is employed for dynamic analysis
of fully saturated porous materials under shock loading considering two directional functionally grading
patterns in constitutive mechanical properties. To approximate the trial functions in the radial point
interpolation method (RPIM), the radial basis functions (RBFs) are utilized. The mechanical properties
are simulated using a non-linear grading model with the radial and axial exponent. The 2D propagation
of displacement and stresses are tracked through radial and axial direction in a two dimensional domain
for various grading patterns at different time instants. By employing the presented meshless technique,
the effects of various grading patterns on maximum values of stresses and displacements are studied
in detail. The variation in the value of radial exponent has a significant effect on the dynamic behavior
of radial displacement and radial stress comparing to the variation in the value of axial exponent. The
MLPG method has a high capability to track the stress and displacement wave fronts at every arbitrary
time instant in 2D domain.

Highlights

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Keywords

References