TAILIEUCHUNG - Mechanics Analysis Composite Materials Episode 4

Tham khảo tài liệu 'mechanics analysis composite materials episode 4', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Chapter 3. Mechanics nJ a unidirectional ply 91 numerical finite element finite difference methods stress analysis of the matrix in the vicinity of fibers averaging of stress and strain fields for a media filled in with regularly or randomly distributed fibers asymptotic solutions of elasticity equations for inhomogeneous solids characterized with a small microstructural parameter fiber diameter photoelasticity methods. Exact elasticity solution for a periodical system of fibers embedded in an isotropic matrix Van Fo Fy Vanin 1966 is shown in Figs. and . As can be seen due to high scatter of experimental data the higher-order model does not demonstrate significant advantages with respect to elementary models. Moreover all the micromechanical models can hardly be used for practical analysis of composite materials and structures. The reason for this is that irrespective of how rigorous the micromechanical model is it cannot describe quite adequately real material microstructure governed by a particular manufacturing process take into account voids microcracks randomly damaged or misaligned fibers and many other effects that cannot be formally reflected in a mathematical model. Because of this micromechanical models are mostly used for qualitative analysis providing US with understanding of how material microstructural parameters affect its mechanical properties rather than with quantitative information about these properties. Particularly the foregoing analysis should result in two main conclusions. First the ply stiffness along the fibers is governed by the fibers and linearly depends on the fiber volume fraction. Second the ply stiffness across the fibers and in shear is determined not only by the matrix which is natural but by the fibers as well. Though the fibers do not take directly the load applied in the transverse direction they significantly increase the ply transverse stiffness in comparison with the stiffness of a pure matrix acting as rigid .

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