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Crack identification by ‘arrival time’ using XFEM and a genetic algorithm. (English) Zbl 1155.74398
Summary: A computational framework is developed in which cracks in two-dimensional structures are identified, in conjunction with non-destructive testing of specimens. As opposed to a previous study by the authors, which was based on time-harmonic excitation with a single frequency, here the transient response of the structure to a short-duration signal is measured along part of the external boundary. Crack detection is performed using the solution of an inverse time-dependent problem. It is shown that the arrival time of the input signal to the points of measurement is a good criterion for crack identification in the time domain. The inverse problem of identification is solved using a genetic algorithm, while each forward problem is solved by the time-dependent extended finite element method (XFEM). The XFEM scheme is efficient in that it allows the use of a single regular mesh for a large number of forward time response problems with different crack geometries. Numerical examples involving a crack in a flat membrane are presented. Identification based on ‘arrival time’ is shown to perform better than that based on time-harmonic response.

MSC:
74R10Brittle fracture
74S05Finite element methods in solid mechanics
74S30Other numerical methods in solid mechanics
92D99Genetics and population dynamics
Software:
XFEM