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Steel and Composite Structures
  Volume 33, Number 6, December25 2019, pages 865-875

Effect of grading pattern and porosity on the eigen characteristics of porous functionally graded structure
Prashik Malhari Ramteke, Subrata K. Panda and Nitin Sharma

    The current article proposed to develop a geometrical model for the analysis and modelling of the uniaxial functionally graded structure using the higher-order displacement kinematics with and without the presence of porosity including the distribution. Additionally, the formulation is capable of modelling three different kinds of grading patterns i.e., Power-law, sigmoid and exponential distribution of the individual constituents through the thickness direction. Also, the model includes the distribution of porosity (even and uneven kind) through the panel thickness. The structural governing equation of the porous graded structure is obtained (Hamilton\'s principle) and solved mathematically by means of the isoparametric finite element technique. Initially, the linear frequency parameters are obtained for different geometrical configuration via own computer code. The comparison and the corresponding convergence studies are performed for the unidirectional FG structure for the validation purpose. Finally, the impact of different influencing parameters like aspect ratio (O), thickness ratio (S), curvature ratio (R/h), porosity index (
Key Words
    functionally graded materials; porosity; grading pattern; higher-order shear deformation theory; effective material properties
(1) Prashik Malhari Ramteke, Subrata K. Panda:
Department of Mechanical Engineering, NIT Rourkela, Rourkela-769008, Sundergarh, Odisha, India;
(2) Nitin Sharma:
School of Mechanical Engineering, KIIT Bhubaneswar, Bhubaneswar-751024, Odisha, India.

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