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Structural Engineering and Mechanics Volume 57, Number 5, March10 2016 , pages 897-920 DOI: https://doi.org/10.12989/sem.2016.57.5.897 |
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Absolute effective elastic constants of composite materials |
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Osman Bulut, Necla Kadioglu and Senol Ataoglu
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| 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. | ||
| Key Words | ||
| analytical method; composites; fiber reinforced; finite element method (FEM); static analysis | ||
| Address | ||
| Osman Bulut, Necla Kadioglu and Senol Ataoglu: Civil Engineering Department, Faculty of Civil Engineering, Istanbul Technical University, Maslak 34469 Istanbul, Turkey | ||