期刊
COMPOSITES PART B-ENGINEERING
卷 43, 期 3, 页码 1315-1328出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.compositesb.2011.09.003
关键词
Foams; Mechanical properties; Elasticity; Analytical modeling; Beams
资金
- E.U. [FP7-REGPOT-2009-1, 245479]
- Polish Ministry of Science and Higher Education [1471-1/7, PR UE/2010/7]
- Alexander von Humboldt-Foundation
- German Research Foundation [AL341/33-1]
- Japanese Society for the Promotion of Science [RC 21115001]
In this paper we employ the direct approach to the theory of rods and beams, which is based on the deformable curve model with a triad of rotating directors attached to each point. We show that this model (also called directed curve) is an efficient approach for analyzing the deformation of elastic beams with a complex material structure. Thus, we consider non-homogeneous, composite and functionally graded beams made of isotropic or orthotropic materials and we determine the effective stiffness properties in terms of the three-dimensional elasticity constants. We present general analytical expressions of the effective stiffness coefficients, valid for beams of arbitrary cross-section shape. Finally, we apply this method for FGM beams made of metal foams and compare our analytical results with the numerical results obtained by a finite element analysis. (C) 2011 Elsevier Ltd. All rights reserved.
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