Volume 16, Issue 3 (5-2016)                   Modares Mechanical Engineering 2016, 16(3): 202-210 | Back to browse issues page

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Khezrzadeh H. Geometrical method for determination of mechanical properties of particle reinforced composites. Modares Mechanical Engineering 2016; 16 (3) :202-210
URL: http://mme.modares.ac.ir/article-15-9603-en.html
Assistant Professor of Structural Engineering, Faculty of Civil and Environmental Engineering, Tarbiat Modares University
Abstract:   (4173 Views)
Research on microstructure of main engineering materials revealed that some of these materials exhibit similar microstructure patterns at different length scales. Since these patterns are replicated at different length scales the whole microstructure can be viewed as a set of periodic substructures. Homogenization technique for periodic microstructures has found many applications in simulation of composite materials by considering the geometry of fibers distribution. In this study a homogenization technique for periodic microstructures is developed. In this generalization a multi-step homogenization is being used. In each step of homogenization the geometry which is coincident with the true microstructure is produced to maintain the properties of the mechanical properties of the related cell. By using the presented method effect of size and grading of each of reinforcing phases and the interaction between fibers is taken into account. The results of the presented theory are compared with the existing experimental data on the particle reinforced composites. Good agreement between the presented theory and experimental data is found.
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Received: 2015/12/1 | Accepted: 2016/02/11 | Published: 2016/03/5

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