Structural Engineering and Mechanics

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Bending analysis of doubly curved FGM sandwich rhombic conoids

  • Ansari, Md I. (Department of Architecture, Jamia Millia Islamia) ;
  • Kumar, Ajay (Department of Civil Engineering, National Institute of Technology Patna) ;
  • Bandyopadhyaya, Ranja (Department of Civil Engineering, National Institute of Technology Patna)
  • Received : 2019.02.28
  • Accepted : 2019.04.22
  • Published : 2019.09.10
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Abstract

In this paper, an improved mathematical model is presented for the bending analysis of doubly curved functionally graded material (FGM) sandwich rhombic conoids. The mathematical model includes expansion of Taylor's series up to the third degree in thickness coordinate and normal curvatures in in-plane displacement fields. The condition of zero-transverse shear strain at upper and lower surface of rhombic conoids is implemented in the present model. The newly introduced feature in the present mathematical model is the simultaneous inclusion of normal curvatures in deformation field and twist curvature in strain-displacement equations. This unique introduction permits the new 2D mathematical model to solve problems of moderately thick and deep doubly curved FGM sandwich rhombic conoids. The distinguishing feature of present shell from the other shells is that maximum transverse deflection does not occur at its center. The proposed new mathematical model is implemented in finite element code written in FORTRAN. The obtained numerical results are compared with the results available in the literature. Once validated, the current model was employed to solve numerous bending problems by varying different parameters like volume fraction indices, skew angles, boundary conditions, thickness scheme, and several geometric parameters.

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