The pure
shear strength for the all-simply supported plate has not yet been found; what is
described as pure shear in that plate, is, infact, a
pure-shear solution for another plate clamped on the “Y-Y” and simplysupported
on the long side, X-X. A new solution for the simply supported case is
presented here and is found to be only 60-percent of the currently believed
results. Comparative results are presented for the all-clamped plate which
exhibits great accuracy. The von Misses yield relation is adopted and through
incremental deflection-rating the effective shear curvature is targeted in
aspect-ratios. For a set of boundary conditions the Kirchhoff’s plate capacity
is finite and invariant for bending, buckling in axial and pure-shear and in
vibration.
References
[1]
Timoshenko, S. and Woinowsky-Krieger, S. (1959) Theory of Plates and Shells. 2nd Edition, McGraw-Hill Kogakusha, Ltd., Tokyo.
[2]
Leissa, A.W. (1985) Buckling of Laminated Composite Plates and Shell Panels。 Ohio State University, June 1985 for Flight Dynamics Laboratory, Wright Patterson Air-Force Base.
[3]
Johns, D.L. (1972) Shear Buckling of Isotropic and Orthotropic Plates—A Review. Aeronautical Research Council—Report. R & M No. 3677, London.
[4]
Mansour, A.E. and Thayamballi, A. (1980) Ultimate Strength of a Ship’s Hull Girder—Plastic and Buckling Modes. U.S. Coasts Guard, Washington DC, 20593, 1980-Ship Structure Committee.
[5]
Piscopo, V. (2010) Buckling Analysis of Rectangular Plates under the Combined Action of Shear and Uniaxial Stresses. World Academy of Science, Engineering and Technology. International Journal of Mechanical and Mechatronics Engineering, 4, 10.
[6]
Abrate, S. (2006) Free Vibration, Buckling, and Static Deflection of Functionally Graded Plates. Composites Science and Technology, 66, 2383-2394.
https://doi.org/10.1016/j.compscitech.2006.02.032
[7]
Xing, Y.F. and Liu, B. (2009) New Exact Solutions for Free Vibration of Thin Orthotropic Plates. Composite Structures (Editor: A. Ferreira), 89.
https://doi.org/10.1016/j.compstruct.2008.11.010
[8]
Maarefdoust, M. and Kadkhodayan, M. (2015) Elastoplastic Buckling Analysis of Rectangular Thick Plates by Incremental and Deformation Theories of Plasticity. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 229, 1280-1299. https://doi.org/10.1177/0954410014550047
[9]
Riahi, F., et al. (2017) Buckling Stability Assessment of Plates with Various Boundary Conditions under Normal and Shear Stresses. Engineering Technology and Applied Science Research, 7, 2056.
[10]
Oba, E.C., et al. (2018) Pure Bending Analysis of Isotropic Thin Rectangular Plates Using Third-Order Energy Functional. International Journal of Scientific and Research Publications, 8. https://doi.org/10.29322/IJSRP.8.3.2018.p7537
[11]
Haddad, O., et al. (2018) Cyclic Performance of Stiffened Steel Plate Shear Walls with Various Configuration of Stiffeners. Journal of Vibroengineering, 20, 459-476.
https://doi.org/10.21595/jve.2017.18472
[12]
Nam, V.H., et al. (2019) A New Efficient Modified First-Order Shear Model for Static Bending and Vibration Behavior of Two-Layer Composite Plate. Advances in Civil Engineering, 2019, Article ID: 6814367. https://doi.org/10.1155/2019/6814367
[13]
Yaghoobi, H. (2013) Buckling Analysis of Three Layered Rectangular Plate with Piezoelectric Layers. Journal of Theoretic and Applied Mechanics, 51, 813-826.
[14]
Johnarry, T.N. and Ebitei, F.W. (2020) Plate Buckling Solution Based on Pre-Buckling Deflection Factor. European Journal of Applied Engineering and Scientific Research, 8, 1-8.