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| Nonlinear bending analysis of FGM beams resting on two-parameter elastic foundations based on physical neutral surface and high order shear deformation theory |
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Abstract In this paper, nonlinear bending approximate solutions are given by Ritz method based on physical neutral surface and high-order shear deformation theory, and influences played by different supported boundaries, elastic foundations, thermal environmental conditions and volume fraction index are discussed in detail. It is worth noting that the deflections of the beams resting on Winkler elastic foundation are between those of foundationless beams and the beams resting on Pasternak elastic foundation in room temperature fields, and the deflections of the beams with immovable clamped ends in heat conduction fields are between those of beams in room and uniform temperature fields, while it is not always true for the beams with immovable simply supported ends due to initial thermal deflections.
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Received: 10 May 2013
Published: 28 June 2014
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2014, Vol. 35 
