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Absolute effective elastic constants of composite materials
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 Title & Authors
Absolute effective elastic constants of composite materials
Bulut, Osman; Kadioglu, Necla; Ataoglu, Senol;
 Abstract
The objective is to determine the mechanical properties of the composites formed in two types, theoretically. The first composite includes micro-particles in a matrix while the second involves long, thin fibers. A fictitious, homogeneous, linear-elastic and isotropic single material named as effective material is considered during calculation which is based on the equality of the strain energies of the composite and effective material under the same loading conditions. The procedure is carried out with volume integrals considering a unique strain energy in a body. Particularly, the effective elastic shear modulus has been calculated exactly for small-particle composites by the same procedure in order to determine of bulk modulus thereof. Additionally, the transverse shear modulus of fiber reinforced composites has been obtained through a simple approach leading to the practical equation. The results have been compared not only with the outcomes in the literature obtained by different method but also with those of finite element analysis performed in this study.
 Keywords
analytical method;composites;fiber reinforced;finite element method (FEM);static analysis;
 Language
English
 Cited by
 References
1.
Achenbach, J.D. (1973), Wave Propagation in Elastic Solids, Elsevier, New York, NY, USA.

2.
Basaran, H., Demir, A., Bagci, M. and Ergun, S. (2015), "Experimental and numerical investigation of walls strengthened with fiber plaster", Struct. Eng. Mech., 56(2), 189-200. crossref(new window)

3.
Benveniste, Y. (1987), "A new approach to the application of Mori-Tanaka's Theory in composite materials", Mech. Mater., 6(2), 147-157. crossref(new window)

4.
Biswas, S. (2012), "Mechanical properties of bamboo-epoxy composites a structural application", Adv. Mater. Res., 1(3), 221-231. crossref(new window)

5.
Bulut, O., Kadioglu, N., Ataoglu, S., Yuksek, M. and Sancak E. (2013), "Determination of effective elastic constants of two phase composites", Res. Appl. Struct. Eng. Mech. Comput., Taylor Francis Group, London.

6.
Christensen, R.M. and Lo, K.H. (1979), "Solutions for effective shear properties in three phase sphere and cylinder models", J. Mech. Phys. Solid., 27(4), 315-330. crossref(new window)

7.
Guang-hui, H. and Xiao, Y. (2015), "Analysis of higher order composite beams by exact and finite element methods", Struct. Eng. Mech., 53(4), 625-644. crossref(new window)

8.
Handlin, D., Stein, I.Y., de Villoria, R.G., Cebeci, H., Parsons, E.M., Socrate, S., Scotti, S. and Wardle, B.L. (2013), "Three-dimensional elastic constitutive relations of aligned carbon nanotube architectures", J. Appl. Phys., 114(22), 224-310.

9.
Hashin, Z. (1962), "The elastic moduli of heterogeneous materials", J. Appl. Mech. Tran., ASME, 29(1), 143-150. crossref(new window)

10.
Hashin, Z. (1965), "On elastic behaviour of fibre reinforced materials of arbitrary transverse phase geometry", J. Mech. Phys. Solid., 13(3), 119-134. crossref(new window)

11.
Hashin, Z. (1983), "Analysis of composite materials-a survey", J. Appl. Mech. Tran., ASME, 50(3), 481-505. crossref(new window)

12.
Hashin, Z. and Rosen, R.W. (1964), "The elastic moduli of fiber-reinforced materials", J. Appl. Mech. Tran., ASME, 31(2), 223-232. crossref(new window)

13.
Kim, N., Kim, Y.H. and Kim, H.S. (2015), "Experimental and analytical investigations for behaviors of RC beams strengthened with tapered CFRPs", Struct. Eng. Mech., 53(6), 1067-1081. crossref(new window)

14.
Kocak, D., Merdan, N., Yuksek, M. and Sancak, E. (2013), "Effects of chemical modifications on mechanical properties of luffa cylindrica", Asian J. Chem., 25(2), 637-641. crossref(new window)

15.
Lin, P.J. and Ju, J.W. (2009), "Effective elastic moduli of three-phase composites with randomly located and interacting spherical particles of distinct properties", Acta Mechanica, 208, 11-26. crossref(new window)

16.
Ni, Y. and Chiang, M.Y.M. (2007), "Prediction of elastic properties of heterogeneous materials with complex microstructure", J. Mech. Phys. Solid., 55, 517-532. crossref(new window)

17.
Seguardo, J. and Llorca, J. (2002), "A numerical approximation to the elastic properties of sphere-reinforced composites", J. Mech. Phys. Solid., 50(10), 2107-2121. crossref(new window)

18.
Shen, L. and Li, J. (2003), "Effective elastic moduli of composites reinforced by particle or fiber with an inhomogeneous interphase", Int. J. Solid. Struct., 40, 1393-1409. crossref(new window)

19.
Simsek, M. (2010), "Dynamic analysis of an embedded microbeam carrying a moving microparticle based on the modified couple stress theory", Int. J. Eng. Sci., 48(12), 1721-1732. crossref(new window)

20.
Upadhyay, A., Beniwal, R.S. and Ravmir, S. (2012), "Elastic properties of $Al_2O_3$-NiAl: a modified version of Hashin-Shtrikman bounds", Contin. Mech. Thermodyn., 24, 257-266. crossref(new window)

21.
Wang, M. and Pan, N. (2009), "Elastic property of multiphase composites with random microstructure", J. Comput. Phys., 228, 5978-5988. crossref(new window)