Abstract
We construct the orthogonal bases of the Cosserat eigenvectors ũ(−1) for the first boundary value problem of an elastic solid sphere and an infinite elastic space containing a spherical rigid inclusion. These orthogonal bases are expressed in terms of the Jacobi and Legendre polynomials. An example of a nonharmonic heat source shows the convergence of the sequence of the eigenvectors ũ(−1).
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