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Third-order shear deformation theory
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The size-dependent behavior of a silicon microbeam with an axial force in MEMS is studied using a nonlinear finite element procedure. Based on a refined thirdorder shear deformation theory and the modified couple stress theory (MCST), nonlinear differential equations of motion for the beam are derived from Hamilton’s principle, and they are transferred to a discretized form using a two-node beam element.
13p
viwolverine
11-07-2023
3
2
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The paper presents the studies on the free vibration of a rectangular plate with one or more cracks. The plate thickness varies along the x-axis with linear rules. Using Shi's thirdorder shear deformation theory and phase field theory to set up the equilibrium equations, which are solved by finite element methods.
15p
kequaidan8
02-11-2020
8
1
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