Two Dimensional Stress and Displacement Wave Propagation Under Shock Loading in Saturated Porous Materials with Two Dimensional Functionally Graded Materails Using MLPG Method
The meshless local Petrov-Galerkin (MLPG) method is employed for dynamic analysisof fully saturated porous materials under shock loading considering two directional functionally gradingpatterns in constitutive mechanical properties. To approximate the trial functions in the radial pointinterpolation method (RPIM), the radial basis functions (RBFs) are utilized. The mechanical propertiesare simulated using a non-linear grading model with the radial and axial exponent. The 2D propagationof displacement and stresses are tracked through radial and axial direction in a two dimensional domainfor 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 studiedin detail. The variation in the value of radial exponent has a significant effect on the dynamic behaviorof radial displacement and radial stress comparing to the variation in the value of axial exponent. TheMLPG method has a high capability to track the stress and displacement wave fronts at every arbitrarytime instant in 2D domain.
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Shear strengthening of corroded Plate Girders
Vahid Fatemi Nasab, Farzad Shahabian *
Journal of Structural and Construction Engineering, -
A Geometrically Non-linear Stochastic Analysis of Two-dimensional Structures made of Neo-hookean Hyperelastic Materials Uusing MLPG Method: Considering Uncertainty in Mechanical Properties
M.H. Ghadiri Rad *, F. Shahabian, S.M. Hosseini
Journal of Civil Engineering, Summer and Autumn 2018