XU Kailiang   TA De'an   WANG Weiqi

(Department of electronic Engineering, Fudan University   Shanghai  200433)

Received Jan. 7, 2009

Revised Mar. 12, 2009

Abstract Assessment of fractured long bone using ultrasonic guided wave (GW) has gained considerable attention. This paper focuses on using the hybrid boundary element method (HBEM) to analyze the propagation characteristics of ultrasonic GW in fractures long bones. The reflection coefficients (RC) and transmission coefficients (TC) for different depth-to-width ratio (d/w) cracks were numerically calculated and analyzed. It has been shown that the primary output modes, which include the transmission and reflection modes, are the same as the incidence modes. For some cracks, different TC curves always got the local maxima in adjacent frequencies. For different d/w cracks, most of the TC curves had local maxima which are not overlapped. These simulation results are helpful to optimize the modes and frequencies of the incidence GWs for quantitatively evaluating the bone quality and providing the numeral results of the cracks in long cortical bones.

PACS numbers: 43.35, 43.40, 43.80