In this work we treat an exterior boundary value problem in two ? dimensional linear elasticity. First, we consider the case of a single elastic inclusion and take the integral through the layer-theoretic approach. In the sequence we examine the case of two disjoint cavities and via the layer - theoretic approach we reformulate the problem in integral form. In order to face the non-uniqueness arising at the irregular frequencies we adopt the modified Green?s function technique. So, we introduce two terms in the modification of the free ? space Green?s function and we establish the conditions that the coefficients of the modifications must satisfy in order to overcome the failure of uniqueness. The case of the single inclusion can be recovered as degenerate case of the two inclusions.

Στοιχεία Άρθρου

Περιοδικό	Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Αρ. Τεύχους	Τεύχος 47
Περίοδος	2003
Συγγραφέας	E. Argyropoulos, K. Kiriaki
Αρ. Αρθρου	8
Σελίδες	137-151
Γλώσσα	-
Λέξεις Κλειδιά	Green?s function, integral equations, Linear elasticity

Modified Green's function technique for Disjoint bodies in two-Dimensional linear Elasticity