Integral Equation Methods in Obstacle Elastic Scattering
Από το τεύχος 45 του περιοδικού Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
This article considers the far-field equations for a rigid body, the cavity and the transmission case in two-dimensional linear elasticity. The scattering problem is presented in its differential and integral forms. The authors derive a pair of integral equations of the first kind for the far-field region, which hold regardless of the boundary conditions. The assumptions for these equations are that the incident field is produced by a superposition of plane waves in all directions and polarizations. Finally the authors present some conditions for solvability using properties of the Hergoltz functions.
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