Abstract
The spectral decomposition of the compliance and the stiffness tensors for a transversely isotropic body (fiber-reinforced composite), and their eigenvalues derived from, define in a simple and efficient way the respective elastic eigenstates of loading of the material. It has been shown that, for the general orthotropic or transversely isotropic body, these eigenstates consist of two double components σ1 and σ2, which are shears, with σ2 a simple shear, and σ1 a suprposition of simple and pure shears, and they are associated with distortional components of energy. The remaining two eigenstates, with stress components σ3 and σ4 are the orthogonal supplement to the shear subspace of σ1 and σ2, and consist of an equilateral stressing in the plane of isotropy, superimposed with a prescribed tension or compression along the symmetry axis of the material.
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