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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:
Salwa Amien Mohamed ebrhiem
Staff Zu Site
Abstract In Staff Site
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.
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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
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