Abstract
This paper focuses on the analysis of possibilities to find approximate closed form solution for an isolated ellipsoidal inhomogeneity embedded in an orthotropic matrix and to calculate overall elastic properties of heterogeneous materials with orthotropic matrix. The approach is based on approximation of an orthotropic material by one with the special type of symmetry, when fourth rank tensor of elastic stiffness can be expressed in terms of a second rank tensor. Such a symmetry is called in literature “elliptic orthotropy” or “ellipsoidal orthotropy”. If the accuracy of the approximation is sufficient, appropriate affine transformation of coordinates yields the required solution.
Published Version
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