AUT Journal of Civil Engineering, Volume (5), No (3), Year (2021-9) , Pages (465-480)

Title : ( Two-Dimensional Geometrically Nonlinear Hyperelastic Wave Propagation Analysis in FG Thick Hollow Cylinders using MLPG Method )

Authors: Mohammad Hossein Ghadiri Rad , Farzad Shahabian Moghadam , Seyed Mahmoud Hosseini ,

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Abstract

The idea of using meshless method for geometrically nonlinear problems due to its advantage of eliminating mesh distortion has been attracted many researchers. In this paper, the nonlinear wave propagation analysis in two dimensional functionally graded (2D FG) thick hollow cylinders is studied using meshless method. For this purpose, the meshless local Petrov-Galerkin (MLPG) method is developed for geometrically nonlinear dynamic analysis based on total Lagrangian approach. The radial point interpolation, which possesses the delta function property, is used to construct the shape functions. Since the cylinder is assumed to have large deformations, the neo-Hookean hyperelastic model is employed for constitutive modeling of material. The incremental-iterative Newmark/Newton-Raphson technique is applied to iteratively solve the nonlinear equations of motion. The 2D FG cylinder is analyzed under uniform and non-uniform mechanical shock loading. The mechanical properties of cylinder are assumed to vary nonlinearly through the radial and longitudinal directions which are simulated using two dimensional volume fractions. Rayleigh damping is used to model energy dissipation in analyses. Numerical examples demonstrate the applicability and accuracy of the present approach in tracking the nonlinear wave propagation in two dimensional FG thick hollow cylinders. The effects of grading pattern on time history and wave propagation are discussed in details.

Keywords

, Two dimensional wave propagation Meshless local Petrov, Galerkin (MLPG) method Geometrically nonlinear problems Two dimensional functionally graded materials Neo, Hookean constitutive model
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@article{paperid:1088253,
author = {Mohammad Hossein Ghadiri Rad and Shahabian Moghadam, Farzad and Hosseini, Seyed Mahmoud},
title = {Two-Dimensional Geometrically Nonlinear Hyperelastic Wave Propagation Analysis in FG Thick Hollow Cylinders using MLPG Method},
journal = {AUT Journal of Civil Engineering},
year = {2021},
volume = {5},
number = {3},
month = {September},
issn = {2588-2899},
pages = {465--480},
numpages = {15},
keywords = {Two dimensional wave propagation Meshless local Petrov-Galerkin (MLPG) method Geometrically nonlinear problems Two dimensional functionally graded materials Neo-Hookean constitutive model},
}

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%0 Journal Article
%T Two-Dimensional Geometrically Nonlinear Hyperelastic Wave Propagation Analysis in FG Thick Hollow Cylinders using MLPG Method
%A Mohammad Hossein Ghadiri Rad
%A Shahabian Moghadam, Farzad
%A Hosseini, Seyed Mahmoud
%J AUT Journal of Civil Engineering
%@ 2588-2899
%D 2021

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