### Olegin I.P. Rastorguev G.I. Laperdina N.A.

## Multiparameter analysis of unidirectional reinforced structure elastic properties by finite elements methods

### Reporter: Olegin I.P.

**Multiparametr analysis of unidirectional reinforced structure elastic properties by finite elements methods**

**I.P. OLEGIN, G.I. RASTORGUEV, N.A. LAPERDINA**

In this report we discuss of elasticity theory problem for elastic property definition of unidirectional structure. The solution is performed by the conception of representative element. It is chosen on the basis of fisical and geometric considerations. Essential boundary conditions are applied on sides of represantativ element. It equates to reinforce structure average stresses at infinity. There are tree problems for effective property set (longitudinal elastic modulus E_{z} , transverse elastic modulus E_{x} , Poisson rations m_{xy }and m_{xz} , shear modulus G_{xz} and Gxy ). There are problem of uniaxial tension along anisotropy axis, problem of pure shear in plane that normal to fiber direction and problem of pure shear in plane that normal to fiber transverse direction. The set of macros in integrated development environment ANSYS using integral software language APDL is implemented. This set of macros permits calculate required elastic properties for given range of fiber volume fraction and different elastic property combinations of fiber and epoxy.Comparison between effective properties calculation results and test results on the basis of five materials is done. It is shown that approach based on elasticity theory problem solution permits to define effective properties with good accuracy. Researches of effective property dependence from fiber volume fraction, fiber shape and different elastic property combinations of components are conducted. Main dependences in graphic from are shown. The application area of approximate solutions for effective property calculation of unidirectional structures are analyzed. Application recommendations for approximate solutions ara conducted.^{ }

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