Analytical solution of a cantilever functionally graded beam

By Zheng Zhong, Tao Yu. 2007

323 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/af57734fb30464b294b7d9b719dd78f5758dcc3d

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Modeling and analysis of functionally graded sandwich beams: a review (2019, background): “Zhong and Yu [33] analyzed a cantilever FG beam subjected Figure 3.”
Nonlinear bending analysis of FGM beams based on physical neutral surface and high order shear deformation theory (2013, methodology): “Zhong and Yu [3] reported an elasticity solution for the bending of a FGM cantilever beam using the semiinverse method in terms of an Airy stress function, while Ding et al.”
Static and vibration analysis of functionally graded beams using refined shear deformation theory (2013, background): “In terms of Airy stress function, Zhong and Yu [2] presented a general 2D solution for a cantilever FG beam with arbitrary variations of material properties.”
Two-dimensional elasticity solutions for functionally graded beams resting on elastic foundations (2008, methodology): “Most recently, Zhong and Yu [30] reported an elasticity solution for the bending of a FGM cantilever beam using the semi-inverse method in terms of an Airy stress function, while Ding et al.”
A MIXED RITZ-DQ METHOD FOR FORCED VIBRATION OF FUNCTIONALLY GRADED BEAMS CARRYING MOVING LOADS (2010, methodology): “A plane elasticity solution for a cantilever FG beam subjected to different static loads by means of the semi-inverse method was derived by Zhong and Yu [17].”
Static Analysis of a Functionally Graded Beam under a Uniformly Distributed Load by Ritz Method (2009, background): “Zhong and Yu [ 5 ] presented an analytical solution of a cantilever FG beam with arbitrary graded variations of material property distribution based on two-dimension al elasticity theory.”
Static analyses of FGM beams by various theories and finite elements (2015, background): “On the other hand, Zhong and Yu [3] have provided a 2D solution in terms of Airy stress function valid for cantilever beams.”