粘弹性Bessel介质中瞬态波的传播
On the propagation of transient waves in a viscoelastic Bessel medium
摘要：
本文讨论瞬态波在半无限粘弹性贝塞尔介质中的单轴传播。首先，当我们接近波前时，我们提供了材料响应函数的解析表达式。为了做到这一点，我们利用了所谓的Buchen-Mainardi算法的重访版本。其次，给出了材料响应函数的长时间行为的解析表达式。这个结果是通过拉普拉斯变换的Tauberian定理得到的。最后，我们所得到的结果与一个特殊的模型充满流体的弹性管。
英文摘要：
In this paper we discuss the uniaxial propagation of transient waves within a semi-infinite viscoelastic Bessel medium. First, we provide the analytic expression for the response function of the material as we approach the wave-front. To do so, we take profit of a revisited version of the so called Buchen-Mainardi algorithm. Secondly, we provide an analytic expression for the long time behavior of the response function of the material. This result is obtained by means of the Tauberian theorems for the Laplace transform. Finally, we relate the obtained results to a peculiar model for fluid-filled elastic tubes.
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