1. An experimentally-calibrated damage mechanics model for stone fracture in shock wave lithotripsy
- Author
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Ying Zhang, Pei Zhong, Sorin Mitran, Daniel Fovargue, and Georgy Sankin
- Subjects
Finite volume method ,Materials science ,Computation ,Computational Mechanics ,Image processing ,Mechanics ,01 natural sciences ,Article ,010101 applied mathematics ,Mechanics of Materials ,Modeling and Simulation ,Damage mechanics ,0103 physical sciences ,Fracture (geology) ,Calibration ,Tomography ,0101 mathematics ,Material properties ,010301 acoustics - Abstract
A damage model suggested by the Tuler–Butcher concept of dynamic accumulation of microscopic defects is obtained from experimental data on microcrack formation in synthetic kidney stones. Experimental data on appearance of microcracks is extracted from micro-computed tomography images of BegoStone simulants obtained after subjecting the stone to successive pulses produced by an electromagnetic shock-wave lithotripter source. Image processing of the data is used to infer statistical distributions of crack length and width in representative transversal cross-sections of a cylindrical stone. A high-resolution finite volume computational model, capable of accurately modeling internal reflections due to local changes in material properties produced by material damage, is used to simulate the accumulation of damage due to successive shocks. Comparison of statistical distributions of microcrack formation in computation and experiment allows calibration of the damage model. The model is subsequently used to compute fracture of a different aspect-ratio cylindrical stone predicting concurrent formation of two main fracture areas as observed experimentally.
- Published
- 2018
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