Thin Plates and Shells: Theory: Analysis, and Applications
By E. Ventsel, T. Krauthammer, Erasmo Carrera. 2001
1,188 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/f8eb6b826891960ac78e7241ecc4daac236be235
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In Civil and Structural Engineering
In Mechanics of Materials
Citations in the corpus
- Modeling, Fabrication, and Characterization of Piezoelectric Micromachined Ultrasonic Transducer Arrays Based on Cavity SOI Wafers (2015, background): “The out of plane deflection of an edge-clamped circular plate with uniform pressure load, p, is [21]:”
- Buckling analysis of rectangular functionally graded plates under various edge conditions using Fourier series expansion (2013, methodology): “Vx and Mx are effective shear force and bending moment (Venstel and Krauthammer, 2001):”
- Deep Autoencoder based Energy Method for the Bending, Vibration, and Buckling Analysis of Kirchhoff Plates (2020, background): “The increment in the total potential energy of the plate upon buckling ∆Π can be expressed as strain energy of the bending and twisting of a plate U plus the work done by in-plane forces [1],”
- A Deep Collocation Method for the Bending Analysis of Kirchhoff Plate (2021, methodology): “Based on Kirchhoff plate bending theory [1], the relation between lateral deflection w ( x, y ) of the middle surface ( z = 0) and rotations about the x , y -axis can be given Ω p1-3 Ω p1-4 E 2 Under the coordinate system shown in Figure 1, the displacement field in a thin plate can be expressed as:…”
- A unified method for free vibration analysis of circular, annular and sector plates with arbitrary boundary conditions (2016, background): “For a purely bending plate, the strain energy can be expressed as (Ventsel and Krauthammer, 2001) Vp ¼ D 2 Z 0 Z R 0 @2w @s2 þ 1 sþ a @w @s þ 1 sþ að Þ2 @2w @ 2 2" 2 1 ð Þ @ 2w @s2 1 sþ a @w @s þ 1 sþ að Þ2 @2w @ 2 þ2ð1 Þ @ @s 1 sþ a @w @ 2( )235ðsþ aÞdsd ð13Þ where D ¼ Eh3/(12(1- 2)) is the…”