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J Biomech. 2018 Aug 22;77:83-90. doi: 10.1016/j.jbiomech.2018.06.015. Epub 2018 Jun 27.

Fatigue evaluation of long cortical bone using ultrasonic guided waves.

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Department of Electronic Engineering, Fudan University, Shanghai 200433, China.
Institut Langevin, ESPCI Paris, CNRS UMR 7587, INSERM U979, 17 Rue Moreau, 75012 Paris, France. Electronic address:
Department of Electronic Engineering, Fudan University, Shanghai 200433, China; State Key Laboratory of ASIC and System, Fudan University, Shanghai 200433, China; Key Laboratory of Medical Imaging Computing and Computer Assisted Intervention (MICCAI) of Shanghai, Shanghai 200032, China. Electronic address:
Department of Radiology and Diagnostic Imaging, University of Alberta, Edmonton, Alberta, Canada.


Bone fatigue fracture is a progressive disease due to stress concentration. This study aims to evaluate the long bone fatigue damage using the ultrasonic guided waves. Two-dimensional finite-difference time-domain method was employed to simulate the ultrasonic guided wave propagation in the long bone under different elastic modulus. The experiment was conducted on a 3.8 mm-thick bovine bone plate. The phase velocities of two fundamental guided modes, A1 and S1, were measured by using the axial transmission technique. Simulation shows that the phase velocities of guided modes A1 and S1 decrease with the increasing of the fatigue damage. After 20,000 cycles of fatigue loading on the bone plate, the average phase velocities of A1 and S1 modes were 6.6% and 5.3% respectively, lower than those of the intact bone. The study suggests that ultrasonic guided waves can be potentially used to evaluate the fatigue damage in long bones.


Fatigue damage; Long cortical bone; Phase velocity; Ultrasonic guided waves

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