Relations between buckling loads of functionally graded Timoshenko and homogeneous Euler-Bernoulli beams

By Shirong Li, Romesh C. Batra. 2013

156 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/22ea17c6b980cc2f42f66c4ec608572f40145532

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In Civil and Structural Engineering

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Modeling and analysis of functionally graded sandwich beams: a review (2019, background): “The Power law (P-FGM) [21], [28], [47–50], [52]–[54], [56], [58]–[63], [66], [67], [71], [74]–[78], [85]–[92], [98]–[103], [109, 110], [113], [115]–[119], [121], [129]–[132], [134–140], [143–146], [149]–[162], [164], [168]–[176], [181]–[184], [186]–[189], [194], [196], [198–209], [211], [213, 214] T”
A quasi-3D theory for vibration and buckling of functionally graded sandwich beams (2015, methodology): “4116 C-F Li & Batra [20] (FOBT) 13.”
Finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory (2014, methodology): “Theory BC Reference k = 0 k = 0.5 k = 1 k = 2 k = 5 k = 10 FOBT C-C Li & Batra [11] 195.3400 127.8700 98.7490 76.9800 64.0960 57.7080 Present 195.3730 127.9050 98.7923 77.0261 64.1324 57.7329 S-S Li & Batra [11] 52.3090 33.9960 26.1710 20.4160 17.1920 15.6120 Nguyen et al. [12] 52.3080 33.9890 26.17”
Vibration and buckling analysis of functionally graded sandwich beams by a new higher-order shear deformation theory (2015, methodology): “values of the power-law index and compared to the solutions obtained from the FSBT ([9, 10]) and”
Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory (2013, background): “works on static ([3]-[11]) and free vibration ([12]-[18]) as well as buckling analysis ([19],[20]) of FG”
Nonlinear analysis of shear deformable FGM beams resting on elastic foundations in thermal environments (2014, methodology): “Many studies have been made on the linear bending, buckling and vibration of FGM beams based on Euler–Bernoulli beam theory, Timoshenko beam theory and higher order shear deformation beam theory [2–14].”