论文标题

通过对超声应用的电阻抗光谱法测定聚合物的复合物值弹性模量

Determination of the complex-valued elastic moduli of polymers by electrical impedance spectroscopy for ultrasound applications

论文作者

Bodé, William N., Lickert, Fabian, Augustsson, Per, Bruus, Henrik

论文摘要

提出了一种用于测定超声应用的聚合物的复合值压缩和剪切弹性模量的方法。在文献中几乎没有报道的结果值通常是不确定性的,通常约为1%(实际零件)和6%(假想部分)。该方法涉及由CM-Radius,MM厚的聚合物环组成的设置,该设置将胶合胶固定到磁盘形的压电传感器上。换能器的超声电阻抗光谱是数值计算的,并将其拟合到测量值作为较大频率范围内的逆问题,通常从500 Hz到5 MHz,无论是在内外的共鸣。该方法通过1​​.9 MHz约1.9 MHz的超声透射进行实验验证。在实验上,该方法可以说是简单而低成本的,并且不限于特定的几何和晶体对称性。此外,通过涉及异位频率,它允许确定弹性模量的假想部分,等效于衰减系数。最后,该方法在100 MHz以上的严重衰减集之前没有明显的频率限制。

A method is presented for the determination of complex-valued compression and shear elastic moduli of polymers for ultrasound applications. The resulting values, which are scarcely reported in the literature, are found with uncertainties typically around 1 % (real part) and 6 % (imaginary part). The method involves a setup consisting of a cm-radius, mm-thick polymer ring glued concentrically to a disk-shaped piezoelectric transducer. The ultrasound electrical impedance spectrum of the transducer is computed numerically and fitted to measured values as an inverse problem in a wide frequency range, typically from 500 Hz to 5 MHz, both on and off resonance. The method was validated experimentally by ultrasonic through-transmission around 1.9 MHz. Experimentally, the method is arguably simple and low cost, and it is not limited to specific geometries and crystal symmetries. Moreover, by involving off-resonance frequencies, it allows for determining the imaginary parts of the elastic moduli, equivalent to attenuation coefficients. Finally, the method has no obvious frequency limitations before severe attenuation sets in above 100 MHz.

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