Centre National De La Recherche Scientifique

The University of Arizona

Université Paris—sud

Nicolas Liebeaux

Dominique Placko

Tribikram Kundu

Aurélie Cruau

Aurelie Cruau

A method for modeling the interactions between objects. The surface the objects define an interface between media. A set of elementary characteristic functions are chosen that correspond to the field of application. The physical properties the media are defined. Each object is modelled as a mesh and elementary point sources are associated with either side of each mesh element. The type of boundary conditions are determined for each interface. The global matrix for the interactions between the various objects is constructed, depending on the type of boundary conditions, the properties of the media and the configuration of the system. The global matrix is inverted. The inverted matrix is multiplied by a column matrix of the excitation boundary conditions. A column matrix is obtained containing the elementary point sources. At every point, the physical quantities representative of the interactions are calculated and an analytical model of the interactions is obtained.

Universal method for modeling the interactions between at least one wave and at least one object, the surface of each object defining an interface between at least two media

The invention relates to the modelling of the interactions between an incident wave and an obstacle, in particular in the area of nondestructive testing. According to the invention, the surface of the obstacle is meshed and at least one source (S) is allocated to each surface element (dS). Boundary conditions are then calculated at each mesh cell of the obstacle and source values are deduced therefrom. On the basis of an interaction matrix and of these source values, a physical quantity representative of the interaction between the wave and the obstacle is estimated at any point of space.

Method of evaluating a physical quantity representative of an interaction between a wave and an obstacle

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Cachan, France

Nicolas Liebeaux