×

On fiber curvature effects in the analysis of unidirectionally reinforced composite structures. (English) Zbl 1022.74009

The authors validate the application of Mori-Tanaka method for giving the material law of axisymmetric matrix-fiber composites under thermo-mechanical loading. To give the reference solution, the thermo-elastic solution is given for a multi-layered cylinder in which two different layers alternate consecutively. The results are compared with those obtained by the classical lamination theory, and by the method using a hexagonal cell tiling pattern. It is demonstrated that the Mori-Tanaka method is capable of describing material laws of composites reinforced by curved aligned continuous fibers, insofar as the fiber diameter is small compared to the radius of curvature. In addition, it is shown that the approaches using the hexagonal cell tiling pattern lead to sufficiently accurate results.

MSC:

74E30 Composite and mixture properties
74F05 Thermal effects in solid mechanics
74M25 Micromechanics of solids
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Benveniste, Y.; Dvorak, G. J., On a correspondence between mechanical and thermal fields in two-phase composites, (Weng, G. J.; Taya, M.; Abé, H., Micromechanics and Inhomogeneity (1991), Springer: Springer New York), 65-82
[2] H.J. Böhm, HEXGRAIN V. A-2, Institute for Light Weight Structures and Aerospace Engineering, Vienna University of Technology, Vienna, Austria, 1997; H.J. Böhm, HEXGRAIN V. A-2, Institute for Light Weight Structures and Aerospace Engineering, Vienna University of Technology, Vienna, Austria, 1997
[3] C.M. Chimani, H.J. Böhm, F.G. Rammerstorfer, A micromechanical investigation of thermally introduced stress singularities in heterogeneous hybrid structures, in: T. Ericsson, M. Odén, A. Andersson (Eds.), The Fifth International Conference on Residual Stresses, Vol. 1, Linköpings Universitet, Sweden, 1998, pp. 478-483; C.M. Chimani, H.J. Böhm, F.G. Rammerstorfer, A micromechanical investigation of thermally introduced stress singularities in heterogeneous hybrid structures, in: T. Ericsson, M. Odén, A. Andersson (Eds.), The Fifth International Conference on Residual Stresses, Vol. 1, Linköpings Universitet, Sweden, 1998, pp. 478-483
[4] Eshelby, J. D., The determination of the elastic field of an ellipsoidal inclusion and related problems, Proc. Roy. Soc. London A, 241, 376-396 (1957) · Zbl 0079.39606
[5] Hill, R., Theory of mechanical properties of fibre-strengthened materials: III. self-consistent model, J. Mech. Phys. Sol., 13, 178-188 (1965)
[6] J. Hult, F.G. Rammerstorfer (Eds.), Engineering Mechanics of Fibre Reinforced Polymers and Composite Structures, Springer, Vienna, Austria, 1994; J. Hult, F.G. Rammerstorfer (Eds.), Engineering Mechanics of Fibre Reinforced Polymers and Composite Structures, Springer, Vienna, Austria, 1994
[7] Mori, T.; Tanaka, K., Average stress in the matrix and average elastic energy of materials with misfitting inclusions, Acta Metall., 21, 571-574 (1973)
[8] H.E. Pettermann, A.F. Plankensteiner, H.J. Böhm, F.G. Rammerstorfer, A thermo-elasto-plastic constitutive law for inhomogeneous materials based on an incremental Mori-Tanaka approach, Comput. Struct., in print; H.E. Pettermann, A.F. Plankensteiner, H.J. Böhm, F.G. Rammerstorfer, A thermo-elasto-plastic constitutive law for inhomogeneous materials based on an incremental Mori-Tanaka approach, Comput. Struct., in print
[9] Rammerstorfer, F. G.; Fischer, F. D., A method for the experimental determination of residual stresses in axisymmetric composite cylinders, J. Eng. Mater. Technol., 114, 90-96 (1992)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.