Static Analysis of a Functionally Graded Beam under a Uniformly Distributed Load by Ritz Method

By M. Şimşek. 2009

124 citations recorded by the source corpus.

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Citations in the corpus

Modeling and analysis of functionally graded sandwich beams: a review (2019, methodology): “Simsek [135] carried out static analysis of an FG simply supported beam subjected to a uniformly distributed load by using the Ritz method within the framework of Timoshenko and the higher-order shear deformation beam theories.”
Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories (2012, background): “3 the assumption of a higher-order variation of axial displacement through the depth of the beam [18-24] or both axial and transverse displacements through the depth of the beam (i.”
A new four-variable refined plate theory for thermal buckling analysis of functionally graded sandwich plates (2012, methodology): “Şimşek [10] studied the static analysis of an FG beam under uniformly distributed load within the framework of the higher order shear deformation beam theory by Ritz method.”
Free Vibration and Bending Analyses of Cantilever Microtubules Based on Nonlocal Continuum Model (2010, methodology): “Thus the theory based on size dependent nonlocal elasticity theory could serve as a more reasonable and proper approach in mechanical modeling of micro and nano sized components of nano mechanical devices [11-23].”
Static and vibration analysis of functionally graded beams using refined shear deformation theory (2013, methodology): “It seems that for the FOBT, Simsek [15] uses the shear correction factor Ks = 1.0.”
Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory (2013, methodology): “Since Simsek [9] neglected Poisson’s 8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 ratio in Q̄11(z) of the constitutive equation (Eq.”