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- W4293203852 abstract "• Nonlocal piezoelectric integral model is applied to model FGP-Timoshenko nanobeam. • DQEM is applied to obtain the numerical solutions for the differential equations. • Consistent softening effect is obtained for both bending and buckling analysis. Previous studies indicate that nonlocal piezoelectric differential model would lead to an inconsistent bending response of Euler-Bernoulli nanobeam. In this paper, static bending and elastic buckling of functionally graded piezoelectric (FGP) Timoshenko nanobeam are studied through two-phase local/nonlocal piezoelectric integral model. The differential governing equations and standard boundary conditions are derived on the basis of the principle of minimum potential energy . The relations between general strain and nonlocal stress components are expressed as integral forms and then transformed equivalently into differential forms with constitutive boundary conditions. Several nominal variables are introduced to simplify the mathematical formulation. It shows that Timoshenko nanobeam based on purely nonlocal piezoelectric integral model would lead to ill-posed mathematical model and inconsistent size-dependent response with and without considering constitutive boundary conditions, respectively. The general differential quadrature method is applied to obtain the numerical results for bending deflections and buckling loads. The influence of nonlocal parameters, boundary conditions, functionally graded index and buckling order on the bending deflections and buckling loads is investigated numerically. A consistent softening response is obtained." @default.
- W4293203852 created "2022-08-27" @default.
- W4293203852 creator A5017005971 @default.
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- W4293203852 date "2022-11-01" @default.
- W4293203852 modified "2023-10-10" @default.
- W4293203852 title "Bending and buckling analysis of functionally graded Timoshenko nanobeam using Two-Phase Local/Nonlocal piezoelectric integral model" @default.
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- W4293203852 doi "https://doi.org/10.1016/j.compstruct.2022.116129" @default.
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