Nonlinear thermal buckling and postbuckling analysis of bidirectional functionally graded tapered microbeams based on Reddy beam theory

Faculty Engineering Year: 2020
Type of Publication: ZU Hosted Pages:
Authors:
Journal: Engineering with Computers Springer Volume:
Keywords : Nonlinear thermal buckling , postbuckling analysis , bidirectional functionally    
Abstract:
In the present study, the nonlinear thermal buckling, postbuckling, and snap-through phenomenon of higher-order shear deformable tapered bidirectional functionally graded (BDFG) microbeams are comprehensively investigated under diferent types of thermal loading, for the frst time. The thermomechanical properties of the BDFG microbeam are assumed to be functions of temperature, axial, and thickness directions. Reddy’s parabolic shear deformation beam theory with the von Kármán nonlinearity is employed to derive the variable coefcient governing nonlinear diferential equations on the basis the physical neutral surface concept. Size-dependent efect is captured in the formulation employing the modifed couple stress theory. The generalized diferential quadrature method (GDQM) is used to discretize the motion equations considering diferent boundary conditions. The resulting system of nonlinear algebraic equations is solved iteratively using Newton’s method. Theoretical analysis and numerical results indicate that, depending on the shear deformation beam theory, boundary conditions, and the type of thermal load, the response of the BDFG microbeam may be of the bifurcation or snap-through buckling type of instability. Numerical parametric studies are conducted to explore the infuences of thermal load type, material property gradient indexes, boundary conditions, material temperature dependency, taperness ratio, and microstructural length scale on critical thermal buckling load, thermal postbuckling, and equilibrium paths of the BDFG microbeam.
   
     
 
       

Author Related Publications

  • Salwa Amien Mohamed ebrhiem, "A novel differential-integral quadrature method for the solution of nonlinear integro-differential equations", John Wiley & Sons Ltd, 2021 More
  • Salwa Amien Mohamed ebrhiem, "Thermal vibration characteristics of pre/post‑buckled bi‑directional functionally graded tapered microbeams based on modifed couple stress Reddy beam theory", Springer, 2020 More
  • Salwa Amien Mohamed ebrhiem, "New Smoother to Enhance Multigrid-Based Methods for Bratu Problem", Elsevier, 2008 More
  • Salwa Amien Mohamed ebrhiem, "Optimally efficient multigrid algorithms for incompressible Euler equations", Emerald Group Publishing Limited, 2008 More
  • Salwa Amien Mohamed ebrhiem, "Adaptive FAS-multigrid method for nonlinear elliptic equations on unstructured grids", Wiley InterScience, 2007 More

Department Related Publications

  • Alaa Ahmed Abd elrahman , "On static and dynamic stability of bio-inspired composite plates under variable axial load", Springer, 2025 More
  • Mohammed Abdelmoniem Mohamed Eltaher , "On static and dynamic stability of bio-inspired composite plates under variable axial load", Springer, 2025 More
  • Adel Fathy Meselhy Ibrahiem, "Comprehensive investigation of the impact of milling time on microstructural evolution and tribological properties in Mg-Ti-SiC hybrid composites", Elsevier, 2024 More
  • Walaa AbdelAzim Abdulaziz AbdelAal, "Enhancement of mechanical and physical properties of Cu–Ni composites by various contents of Y2O3 reinforcement", elseiver, 2024 More
  • Adel Fathy Meselhy Ibrahiem, "Microstructural evolution and strengthening mechanisms in Cu-coated cBN reinforced aluminum nanocomposites", Elsevier, 2025 More
Tweet