Acta Mechanica

, Volume 229, Issue 10, pp 4229–4238 | Cite as

Analysis of propagation characteristics of a shear wave in a frictionally bonded fibre-reinforced stratum

  • Amares Chattopadhyay
  • Akanksha SrivastavaEmail author
  • Pulkit Kumar
  • Abhishek Kumar Singh
Original Paper


The present article aims to unravel the propagation characteristics of a shear wave in the context of reinforcement and frictional bonding in a composite structure. The geometrical configuration of the composite structure is comprised with a fibre-reinforced layer and an isotropic homogeneous semi-infinite medium which are frictionally bonded to each other. An analytical technique is employed to find the complex form of the frequency equation which is separated into real and imaginary parts representing the dispersion and damping relation, respectively. As a particular case of the problem, the deduced results are matched with the classical Love equation. The numerical simulation is performed to graphically portray the analytical findings and to trace out the effect of reinforcement by a comparative study which is a major highlight of the study. The significant influence of reinforcement, frictional bonding, and spectral decay parameter on the phase, group, and damped velocities are revealed. The outcome of the present study may be helpful to gain deeper insight into the propagation characteristics of a shear wave in a frictionally bonded composite structure which may provide useful information in engineering applications.


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The author Ms. Akanksha Srivastava conveys her sincere thanks to Indian Institute of Technology (Indian School of Mines) Dhanbad, India for providing Junior Research Fellowship and facilitating us with its best research facility. Authors express their sincere thanks to Science and Engineering Research Board, Department of Science and Technology, New Delhi for providing financial support through Project no. EMR/ 2017/000263. They are also thankful to the reviewers for their useful suggestions and valuable comments in the improvement of the manuscript.


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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Applied MathematicsIndian Institute of Technology (Indian School of Mines)DhanbadIndia

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