Arabian Journal for Science and Engineering

, Volume 43, Issue 9, pp 4931–4947 | Cite as

Static and Stability Characteristics of Geometrically Imperfect FGM Plates Resting on Pasternak Elastic Foundation with Microstructural Defect

  • Ankit Gupta
  • Mohammad Talha
Research Article - Mechanical Engineering


The static and stability characteristics of geometrically imperfect functionally graded material (FGM) plate with a microstructural defect (porosity) resting on Pasternak elastic foundation are investigated. The formulations are based on hybrid higher-order shear and normal deformation theory. A new mathematical expression is presented to accomplish the effective material properties of the material with porosity inclusion. A generic function is employed to model various modes of geometric imperfection. The equations of motion are derived using variational principle. Convergence and comparison studies with reported results ensure the reliability and accuracy of the present solution. Influence of geometric imperfection, porosity, foundation parameters, and boundary constraints on the static and stability behavior of FGM plate is examined. The results reflect that the geometric imperfection and porosity have a significant influence on the structural response of FGM plate.


Geometric imperfection Porosity FGM Sigmoid law Static Stability 


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Copyright information

© King Fahd University of Petroleum & Minerals 2018

Authors and Affiliations

  1. 1.Indian Institute of Technology MandiMandiIndia

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