Propagation of Axisymmetric Stoneley Waves in Elastic Solids
Chunlei Biana, Bin Huanga, b, c, Longtao Xiea, b, c, Lijun Yia, b, c, Lili Yuana, d, Ji Wanga, b, c
aPiezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, 818 Fenghua Road, Ningbo, 315211 Zhejiang, China
bTXC-NBU Joint Center of Research, School of Mechanical Engineering and Mechanics, Ningbo University, 818 Fenghua Road, Ningbo, 315211 Zhejiang, China
cKey Laboratory of Impact and Safety Engineering of Ministry of Education, Ningbo University, 818 Fenghua Road, Ningbo, 315211 Zhejiang, China
dSchool of Civil and Environmental Engineering, Ningbo University, 818 Fenghua Road, Ningbo, 315211 Zhejiang, China
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Stoneley waves - as one of just a few special wave modes propagating in infinite elastic solids and interfaces - are well-known for their existence and frequency with distinct features. Their analysis and properties are usually presented through the formulation in Cartesian coordinates, while the essential features including the phase velocity and wave patterns are also consistent with other coordinates based on an equivalent principle. The variation of the Stoneley wave properties with different coordinate framework should be examined for possible insights related to mathematical solutions and applications in addition to known knowledge. Through a systematic formulation with cylindrical coordinates and subsequent solutions in the Bessel functions, it is shown that the amplitudes of Stoneley waves in an axisymmetric configuration will decrease with radius which is in a strong contrast to the Cartesian coordinate case. The examination of such features in a systematic manner can be of importance in crafting and tuning of engineering applications.

DOI:10.12693/APhysPolA.139.124
topics: Stoneley wave, propagation, solid, velocity