Boundary integral formulae for the reconstruction of imperfections of small diameter in an elastic medium (Q2783702)

The paper proposes a procedure for the reconstruction (identification) of a finite number of imperfections of small diameter with Lamé coefficients, known or unknown, different from the ones of the background (matrix) material. The method is based on the integration of the solution against special test functions, and on asymptotic arguments for small imperfections. It is a further, nontrivial extension from an analogous method for scalar differential equations (conduction problems) to matrix differential equations (elasticity). A schematic identification algorithm is proposed without numerical results.