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Large deflections of nonlinearly elastic functionally graded composite beams
The paper discusses governing differential equation for determining large deflections of slender, non-homogeneous beam subjected to a combined loading and composed of a finite number of laminae, which are made of nonlinearly elastic, modified Ludwick’s type of material with different stress-strain relations in tension and compression domain. The material properties are varying arbitrarily through the beam’s thickness. When the thickness of laminae is sufficiently small and the variation of mechanical properties is close to continuous, the beam can be considered as made of functionally graded material (FGM). The derived equations are solved numerically and tested on several examples. From a comparison ofthe results obtained and those found inthe literature a good agreement was observed.
Large deflections of nonlinearly elastic functionally graded composite beams
The paper discusses governing differential equation for determining large deflections of slender, non-homogeneous beam subjected to a combined loading and composed of a finite number of laminae, which are made of nonlinearly elastic, modified Ludwick’s type of material with different stress-strain relations in tension and compression domain. The material properties are varying arbitrarily through the beam’s thickness. When the thickness of laminae is sufficiently small and the variation of mechanical properties is close to continuous, the beam can be considered as made of functionally graded material (FGM). The derived equations are solved numerically and tested on several examples. From a comparison ofthe results obtained and those found inthe literature a good agreement was observed.
Large deflections of nonlinearly elastic functionally graded composite beams
Archiv.Civ.Mech.Eng
Sitar, M. (author) / Kosel, F. (author) / Brojan, M. (author)
Archives of Civil and Mechanical Engineering ; 14 ; 700-709
2014-12-01
10 pages
Article (Journal)
Electronic Resource
English
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