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Multilayered and FGM structural elements under mechanical and thermal loads. Part I: Comparison of finite elements and analytical models

Sadowski T., Bîrsan M., Pietras D.

Archives of Civil and Mechanical Engineering

2015

Vol. 15, no. 4

1180--1192

Nowadays modern composites with various internal structures are used for manufacturing of structural parts of airplanes and in other branches of engineering. They have a layered structure or can be produced as functionally graded materials (FGM). For specific applications some porosity is necessary to satisfy technological process requirements. In this paper several numerical models of structural parts of airplanes made of different composites were elaborated. The finite element (FE) analysis and the mechanical response of the structural elements were compared with previously formulated simplified analytical models 0005 and 0010. The calculations concern estimation of deformation states in: – a layered exhaust pipe covered by thermal barrier coating (TBC) subjected to an internal pressure and a temperature gradient, – a two-layered plate under thermal loading, – three-layered beams subjected to bending with non-symmetrical cross-section, – a FGM beam element subjected to bending load, – a FGM two-layered rod subjected to uniaxial tension. For each considered case a good correlation of the results using both methods – analytical and numerical ones – was obtained, which proves correctness of the theoretical derivations, 0005 and 0010. The paper provides also own general procedure for modelling of FGM in the ABAQUS.

On the problems of Almansi and Michell for anisotropic Cosserat elastic shells

Bîrsan M.

Archives of Mechanics

2009

Vol. 61, nr 3-4

195-227

This paper investigates the equilibrium of cylindrical elastic shells under the action of prescribed body loads, external loads on the lateral edges, and resultant forces and moments on the end edges. We consider anisotropic and inhomogeneous cylindrical shells with arbitrary (open or closed) cross-sections, and we employ the linear theory of Cosserat surfaces. We present a method to construct the solutions to the problems of Almansi and Michell. Then, we apply these results to study the deformation of orthotropic and homogeneous circular cylindrical tubes and Cosserat plates.