Definitions
Functionally graded materials are materials composed by two or more constituents mixed in a gradual and desired manner along preferred directions to ensure a smooth and gradual property variation over space. For these reason, FGMs find many applications in several engineering problems such as, for instance, energy conversion, dental and orthopedic implants, sensors and thermo-generators, and wear-resistant coatings.
Beams are structural elements which present a predominant geometric dimension that identifies an axial line and a cross section having this line as normal. From an engineering point of view, this feature is exploited to model and predict their behavior. Beams are important since they are used as many primary and secondary elements (such as aircraft wings, helicopter rotor blades, or robot arms) in many structures.
Functionally Graded Materials and Beam Structures
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References
Aboudi J (1991) Mechanics of composite materials: a unified micromechanical approach. Elsevier, Amsterdam/New York
Carrera E (2003) Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarking. Arch Comput Meth Eng 10(3):215–296
Koizumi M (1997) FGM activities in Japan. Compos Part B Eng 28(1–2):1–4
Miyamoto Y, Kaysser WA, Rabin BH, Kawasaki A, Ford RG (1999) Functionally graded materials: design, processing and applications. Kluwer Academic, Boston
Nemat-Nasser S, Hori M (1993) Micromechanics: overall properties of heterogeneous materials. North-Holland, New York
Suresh S, Mortensen A (1998) Fundamentals of functional graded materials. IOM Communications Limited, London
Watanabe R, Nishida T, Hirai T (2003) Present status of research on design and processing of functionally graded materials. Met Mater Int 9(6):513–519
Zuiker JR, Dvorak GJ (1994) The effective properties of functionally graded composites – I. Extension of the Mori-Tanaka method to linearly varying fields. Compos Eng 4(1):19–35
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Giunta, G., Belouettar, S. (2018). Hierarchical Modeling of Functionally Graded Beams. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_92-1
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DOI: https://doi.org/10.1007/978-3-662-53605-6_92-1
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