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Pressure distribution analysis of focused shock wave by using finite element method

机译:采用有限元方法聚焦冲击波压力分布分析

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The aim of this study is to analyze the generated pressure by the focusing of a shock wave and to verify that the focal point has the smallest width of the wavefront and the maximum pressure value. The study was achieved by simulation using the finite element method because it allows us to obtain a numerical solution at any point in the considered domain. It was necessary to consider a specific geometry to achieve the focusing of a shock wave; in this case a semi-ellipse was used. When a shock wave is generated in a semi-ellipse, a part of the wave is transmitted and the remaining wave is reflected. The part of the wave that is reflected on the surface of the semi-ellipse focuses later at a focal point while the width of its waveform is reduced and its pressure increases. The non-reflected wave, looses pressure and scatters as it travels away from the semi-ellipse. Furthermore, the pressure obtained during the trajectory of the non-reflected wave is not zero and may damage surrounding materials, like organs in a lithotripsy treatment, by the focal point.
机译:本研究的目的是通过对冲击波的聚焦来分析产生的压力,并验证焦点具有波前的最小宽度和最大压力值。通过使用有限元方法模拟实现该研究,因为它允许我们在所考虑的域中的任何点获得数值溶液。有必要考虑特定的几何形状以实现冲击波的聚焦;在这种情况下,使用了半椭圆。当在半椭圆中产生冲击波时,发送波的一部分并且反射剩余波。在半椭圆的表面上反射的波的一部分稍后聚焦在焦点,而其波形的宽度减小并且其压力增加。非反射波,在远离半椭圆之外,不反映波,损失压力和散发。此外,在非反射波的轨迹期间获得的压力不是零的,并且可以通过焦点损坏周围材料,如碎石折叠处理中的器官。

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