SHEAR MODULUS ESTIMATION OF FIBER COMPOSITES USING FINITE ELEMENT METHOD
Abstract
Composite materials, in the general case, are made up of two or more components distributed in complex ways within the resulting material. It has global elastic properties, determined by the values of the elastic constants of the component materials and their geometry. Determining the characteristics of the homogenized material represents a main concern in a first phase of the design. To determine how the resulting, homogenized composite behaves, numerous calculation procedures were developed to predict the engineering material coefficients. In general, such a method is laborious and requires significant calculation time. Experimental measurements, presuppose the manufacture of the new material. Boundary methods, which assume the use of relatively simple relationships, lead to errors that can sometimes be significant. The research presents a fast method to estimate the shear modulus values for a new material with a reduced volume of calculations, via Finite Element Method(FEM). The torsion of a composite bar is studied for which the natural frequencies are determined using the FEM and the values thus determined are compared with the values obtained using the classical theory of the bar. The elastic constants of the material phases together with the arrangement in the composite are known. Based on these values, a good estimate of the shear modulus can be made. To verify the theory, an example is provided.
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