Fundamental and singular solutions of Lamé equations for media with arbitrary elastic anisotropy

Author:

Kuznetsov Sergey

Abstract

Fundamental and singular solutions of Lamé equations for media with arbitrary elastic anisotropy are constructed on the basis of multipolar expansions (expansions in spherical harmonics) of symbols and the corresponding operators. Theorems of convergence are formulated. A posteriori error estimates are presented.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Reference58 articles.

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3. Harmonic Analysis and the Theory of Probability

4. 4 H. Bross, Zur Richtungsabhangigkeit physikalischer Eigenschaften in Kristallen mit besonderer Berucksichtung der galvano-und-thermomagnetishen Effekte, Z. Naturforschnung 15a, 859–874 (1960).

5. 5 H. Bross, Theorie der galvanomagnetischen Erscheinungen bei beliebigen Energiefachen und anisotroper Streuung der Leitungselektronen, Phys. Kondens. Materie 3, 349–373 (1965).

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