SHAPE RECONSTRUCTION FOR A DEFECT USING 3-D ELASTODYNAMIC TIME-REVERSAL ANALYSIS WITH TOPOLOGICAL SENSITIVITY

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  • トポロジー感度を欠陥検出指標に用いた 3 次元動弾性時間反転解析による欠陥形状再構成

Abstract

<p>This paper presents a 3-D elastodynamic time-reversal method using the topological sensitivity for the defect detection indicator in order to determine the number and position of defects in an elastic solid. The time-reversal method has been developed as one of the inverse scattering techniques in the field of the ultrasonic non-destructive evaluation and earthquake seismology. However, in general, it is difficult to quantitatively evaluate the convergence positions of the time-reversal waves in time-domain. The authors et al. have been studying the reconstruction of defect shape by utilizing the topology sensitivity for the calculation of the time-reversal method for scalar wave problems and 2-D elastodynamic problems. In this research, we extend the previous researches for such problems to 3-D elastodynamic problems., The convolution quadrature time-domain boundary element method (CQBEM) for 3-D elastodynamics is utilized to calculation 3-D elastodynamic wave fields. As numerical examples, some defect detection results are demonstrated to investigate the performance of the present method.</p>

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