In the present paper we develop a mathematical basis to theoretically predict results of application to elastic materials containing huge arrays of linear cracks; we develop also reconstruction of an arbitrary curvilinear non-planar crack. The work is based on rigorous diffraction theories and allied inverse problems. The problem is first reduced to a system of basic boundary integral equations. Then the inverse reconstruction problem is formulated as a minimization problem for a certain strongly nonlinear functional. The proposed numerical algorithm is tested on some examples of complex-shaped cracks.
A New Algorithm for Reconstruction an Arbitrary Curvilinear non Planar Crack by the Inverse Diffraction Technique and US Method / Brigante, Michele. - ELETTRONICO. - 1:(2011), pp. 31-41. (Intervento presentato al convegno XX CONGRESSO AIMETA - ASSOCIAZIONE ITALIANA DI MECCANICA TEORICA E APPLICATA tenutosi a BOLOGNA nel 12-15 settembre 2011).
A New Algorithm for Reconstruction an Arbitrary Curvilinear non Planar Crack by the Inverse Diffraction Technique and US Method
BRIGANTE, MICHELE
2011
Abstract
In the present paper we develop a mathematical basis to theoretically predict results of application to elastic materials containing huge arrays of linear cracks; we develop also reconstruction of an arbitrary curvilinear non-planar crack. The work is based on rigorous diffraction theories and allied inverse problems. The problem is first reduced to a system of basic boundary integral equations. Then the inverse reconstruction problem is formulated as a minimization problem for a certain strongly nonlinear functional. The proposed numerical algorithm is tested on some examples of complex-shaped cracks.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
