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Elastic scattering and energy theorems for a doubly periodic planar array of elastic obstacles.

Mixed vector-dyadic equations derived earlier [V. Twersky, J. Math. Phys. 16, 633 (1973)] for multiple scattering of elastic waves are applied to a doubly periodic planar array of elastic obstacles. Different approximations for the multiple-scattering wave and amplitudes are given. Three groups of four energy theorems are discussed. Results for identical rigid elastic scatterers are derived