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A new sinusoidal shear deformation theory for bending, buckling, and vibration of functionally graded plates [PDF]
Applied Mathematical Modelling, 2013 A new sinusoidal shear deformation theory is developed for bending, buckling, and vibration of functionally graded plates. The theory accounts for sinusoidal distribution of transverse shear stress, and satisfies the free transverse shear stress ...
Huu Thai, Thuc Vo
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, 2020 This project is focusing on developing a novel finite element program for modeling plates. Plates are structures that are very thin. For example, the skin of an aircraft wing or the fuselage of an aircraft can be modeled using plate theory.
Mesri, Bamdad, Kansara, Saurabh
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On the Generalization of Reissner Plate Theory to Laminated Plates, Part I: Theory
Journal of Elasticity, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lebée, Arthur, Sab, Karam
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Applied Mathematics and Mechanics, 1988
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhong, Zhenghua, Luo, Jianhui
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhong, Zhenghua, Luo, Jianhui
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A General Refined Plate Theory
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2000AbstractStarting from the principle of virtual displacements, a plate theory is formulated which includes most classical and refined plate theories as special cases. The force and moment equilibrium and the correct formulation of the boundary conditions is obtained by introducing a certain virtual displacement field, and it w shown that generalized ...
Meenen, Johannes, Altenbach, Holm
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Journal of Applied Mechanics, 1971
A two-dimensional theory for laminated plates is deduced from the three-dimensional continuum theory for a laminated medium. Plate-stress equations of motion, plate-stress-strain relations, boundary conditions, and plate-displacement equations of motion are presented.
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A two-dimensional theory for laminated plates is deduced from the three-dimensional continuum theory for a laminated medium. Plate-stress equations of motion, plate-stress-strain relations, boundary conditions, and plate-displacement equations of motion are presented.
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Buckling of Circular Plates Based on Reddy Plate Theory
ASME 1997 Turbo Asia Conference, 1997Treated herein is the elastic buckling of circular plates based on the Reddy plate theory. This plate theroy extends the Kirchhoff (or the classical thin) plate theory to allow for the effect of transverse shear deformation. Unlike the Mindlin’s shear deformation plate theory, there is no need for a shear correction factor in the Reddy plate theory. In
Wang, C. M., Lee, K. H., Reddy, J. N.
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On the theory of berger plates
Journal of Applied Mathematics and Mechanics, 1983Abstract It is shown that the Berger equations can be obtained on the basis of a sequential asymptotic procedure. M. Berger /1/ proposed simple approximate nonlinear equations for rectangular and circular plates. The results of /1/ were later extended to orthotropic plates /2/, membranes /3,4/, shallow spherical /4–8/ and cylindrical /8–10/ shells ...
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