Shear deformable beams and plates: relationships with classical solutions

By Chien Ming Wang, J. Reddy, K. H. Lee. 2000

274 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/610ab69aeccf8dc8b372824cf62568b59000da30

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Ö. Civalek
2. Huu-Tai Thai
3. Thuc P. Vo
4. A. S. Sayyad
5. Bekir Akgöz
6. J. Reddy
7. A. Arbind
8. Yang Xiang

Citations in the corpus

• On the missing modes when using the exact frequency relationship between Kirchhoff and Mindlin plates (2005, background): “They derived exact relationships between the two models in bending [5], buckling [6] and vibration [7-9].”
• Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories (2012, methodology): “To avoid the use of a shear correction factor and have a better prediction of response of FG beams, higher-order shear deformation theories have been proposed, notable among them are the third-order theory of Reddy [8-12], the sinusoidal theory of Touratier [13], the hyperbolic theory of Soldatos [1”
• FREE VIBRATIONS OF PLATE USING TWO VARIABLE REFINED PLATE THEORY (2006, background): “m n Non-dimensional natural frequency omn and corresponding % error (quoted in brackets) EXACT [30] Reddy [30] Mindlin [30] CPT [30] RPT RPT-Variant”
• Axisymmetric bending analysis of thick functionally graded circular plates using fourth-order shear deformation theory (2009, background): “This is so as to eliminate the discrepancy between the total spatial differential order of their governing equations and the total number of the associated boundary conditions (Wang et al., 2000).”
• Bending relationships between the modified couple stress-based functionally graded Timoshenko beams and homogeneous Bernoulli–Euler beams (2012, background): “[29], Lim and Reddy [6], and Reddy [19] and references therein) have developed relationships connecting the solutions of various shear deformation beam and plate theories to those of the respective classical beam and plate theories.”