Analytical Solutions for Large Deflections of Functionally Graded Beams Based on Layer-Graded Beam Model

作者：Zhou, Peng; Liu, Ying^*; Liang, Xiaoyan

来源：International Journal of Applied Mechanics, 2018, 10(9): 1850098.

DOI：10.1142/S1758825118500989

• Functionally graded beam
• yield criterion
• plastic deformation
• finite element

The objective of this paper is to investigate the large deflection of a slender functionally graded beam under the transverse loading. Firstly, by modeling the functionally graded beam as a layered structure with graded yield strength, a unified yield criterion for a functionally graded metallic beam is established. Based on the proposed yielding criteria, analytical solutions (AS) for the large deflections of fully clamped functionally graded beams subjected to transverse loading are formulated. Comparisons between the present solutions with numerical results are made and good agreements are found. The effects of gradient profile and gradient intensity factor on the large deflections of functionally graded beams are discussed in detail. The reliability of the present analytical model is demonstrated, and the larger the gradient variation ratio near the loading surface is, the more accurate the layer-graded beam model will be.

• 出版日期2018-11
• 单位北京交通大学