Analysis of Beams with Transversal Gradations of the Young's Modulus and Variable Depths by the Meshless Method
By: Ladislav Sátor, Vladimír Sládek and Ján Sládek
References
- Atluri, S. (2004) The Meshless Method (MLPG) for Domain & BIE Discretization. Forsyth: Tech Science Press.
- Benveniste, Y. (1987) A new approach to the application of Mori- Tanaka’s theory in composite materials. Mechanics of Materials, 6, pp.147-157.
- Chamis, C. C. - Sendeckyj, G. P. (1968) Critique on theories predicting thermoelastic properties of fibrous composites. Journal of Composite Materials, 2, 3, pp. 332-358.
- Gibson, R. F. (1994) Principles of composite material mechanics. McGraw-Hill.
- Hashin, Z. - Rosen, B. W. (1964) The elastic moduli of fiber-reinforced materials. ASME Journal of Applied Mechanics, 4, pp. 223-232.
- Hashin, Z. (1979) Analysis of properties of fiber composites with anisotropic constituents. ASME Journal of Applied Mechanics, 46, pp. 543-550.
- Koizumi, M. (1993) The concept of FGM. Ceramic Transactions. Functionally Gradient Materials 34, pp. 3-10.
- Lancaster, P. - Salkuskas, K. (1981) Surfaces generated by moving least square method. Mathematics of Computation, Vol. 37, pp. 141-158.
- Mori, T. - Tanaka, T. (1973) Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica, Vol. 21, pp. 571-574.
- Sladek, V. - Sladek, J. - Zhang, Ch. (2008) Computation of stresses in non-homogeneous elastic solids by local integral equation method: a comparative study. Computational Mechanics, Vol. 41, pp. 827-845.
- Sladek, V. - Sladek, J. - Sator, L. (2013) Physical decomposition of thin plate bending problems and their solution by mesh-free methods. Engineering Analysis with Boundary Elements, Vol. 37, pp. 348-365.
- Suresh, S. - Mortensen A. (1998) Fundamentals of Functionally Graded Materials. Institute of Materials, London.
- Yamanouchi, M. - Koizumi, M. - Hirai, T. - Shiota, I. (eds.) (1990) FGM-90, Proceedings of the First International Symposium on Functionally Graded Materials. Sendai, Japan, FGM Forum, Tokyo.
DOI: https://doi.org/10.2478/sjce-2014-0004 | Journal eISSN: 1338-3973 (formerly 1210-3896) | Journal ISSN: 1210-3896 (formerly 1338-3973)
Language: English
Page range: 23 - 36
Published on: Apr 12, 2014
Published by: Slovak University of Technology in Bratislava
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
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© 2014 Ladislav Sátor, Vladimír Sládek, Ján Sládek, published by Slovak University of Technology in Bratislava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.