Dynamic stress responses of defects in periodic heterogeneous media under SH waves

References

• K. Z. Huang, and B. Y. Xu, Development Trend of Solid Mechanics. Beijing: Beijing Institute of Technology Press, 1995.
   Google Scholar
• Z. L. Li, and D. K. Liu, Wave in Solid. Beijing: Science Press, 1995.
   Google Scholar
• Y. H. Pao, and C. C. Mao, Diffraction of Elastic Waves and Dynamic Stress Concentration. Crane and Russak, New York, 1973.
   Google Scholar
• E. Yablonovitch, Inhibited spontaneous emission in solid-state physics and electronics, Phys. Rev. Lett., vol. 58, no. 20, pp. 2059–2062, 1987. DOI: 10.1103/PhysRevLett.58.2059.
   PubMed Web of Science ®Google Scholar
• S. John, Strong localization of photons in certain disordered dielectric superlattices, Phys. Rev. Lett., vol. 58, no. 23, pp. 2486–2489, 1987. DOI: 10.1103/PhysRevLett.58.2486.
   PubMed Web of Science ®Google Scholar
• M. S. Kushwaha, P. Halevi, L. Dobrzynski, et al., Acoustic band structure of periodic elastic composites, Phys. Rev. Lett., vol. 71, no. 13, pp. 2022–2025, 1993. DOI: 10.1103/PhysRevLett.71.2022.
   PubMed Web of Science ®Google Scholar
• M. Sigalas, and E. N. Economou, Band structure of elastic waves in two dimensional systems, Solid State Commun., vol. 86, no. 3, pp. 141–143, 1993. DOI: 10.1016/0038-1098(93)90888-T.
   Web of Science ®Google Scholar
• Y. Tanaka, Y. Tomoyasu, and S. Tamura, Band structure of acoustic waves in phononic lattices: Two-dimensional composites with large acoustic mismatch, Phys. Rev. B., vol. 62, no. 11, pp. 7387–7392, 2000. DOI: 10.1103/PhysRevB.62.7387.
   Web of Science ®Google Scholar
• H. Xiang, and Z. Shi, Vibration attenuation in periodic composite Timoshenko beams on Pasternak foundation, Struct Eng Mech., vol. 40, no. 3, pp. 373–392, 2011. DOI: 10.12989/sem.2011.40.3.373.
   Web of Science ®Google Scholar
• D. Yu, J. Wen, H. Shen, et al., Propagation of flexural wave in periodic beam on elastic foundations, Phys. Lett. A., vol. 376, no. 4, pp. 626–630, 2012. DOI: 10.1016/j.physleta.2011.11.056.
   Web of Science ®Google Scholar
• L. Li, X. Gang, Z. Sun, et al., Design of phononic crystals plate and application in vehicle sound insulation, Adv. Eng. Softw., vol. 125, pp. 19–26, 2018. DOI: 10.1016/j.advengsoft.2018.08.002.
   Web of Science ®Google Scholar
• Z. Xia, X. Xu, F. Ju, et al., Study on vibration characteristics of periodic truss structure of offshore platform, Adv. Mech. Eng., vol. 12, no. 11, pp. 168781402097288, 2020.
   Web of Science ®Google Scholar
• C. C. Claeys, K. Vergote, P. Sas, et al., On the potential of tuned resonators to obtain low-frequency vibrational stop bands in periodic panels, J Sound Vib., vol. 332, no. 6, pp. 1418–1436, 2013. DOI: 10.1016/j.jsv.2012.09.047.
   Web of Science ®Google Scholar
• N. Filho, L. V. Belle, C. Claeys, et al., Attenuation prediction in 1D waveguides using locally resonant metamaterials, International Conference on Noise and Vibration Engineering – ISMA 2016, Leuven 19–21 September, 2016.
   Google Scholar
• L. Trlifal, A variational method for homogenizing a heterogeneous medium, Soviet J Atom Energ., vol. 2, no. 3, pp. 277–290, 1957. DOI: 10.1007/BF01514609.
   Google Scholar
• V. I. Ivanov, The application of a conformal mapping to simple problems of the propagation of waves in non-homogeneous media, USSR Comput Math Phys., vol. 1, no. 2, pp. 277–288, 1962. DOI: 10.1016/0041-5553(62)90060-5.
   Google Scholar
• P. A. Martin, Scattering by a cavity in an exponentially graded half-space, J Appl Mech., vol. 76, no. 3, pp. 031009, 2009. DOI: 10.1115/1.3086585.
   Web of Science ®Google Scholar
• B. P. Hei, Z. L. Yang, Y. Wang, and D. K. Liu, Dynamic analysis of elastic waves by an arbitrary cavity in an inhomogeneous medium with density variation, Math Mech Solid., vol. 21, no. 8, pp. 931–940, 2016. DOI: 10.1177/1081286514545906.
   Web of Science ®Google Scholar
• B. P. Hei, Z. L. Yang, and Z. G. Chen, Scattering of shear waves by an elliptical cavity in a radially inhomogeneous isotropic medium, Earthq. Eng. Eng. Vib., vol. 15, no. 1, pp. 145–151, 2016. DOI: 10.1007/s11803-016-0311-7.
   Web of Science ®Google Scholar
• Zailin Yang, Jinlai Bian, Guan-xi-xi Jiang, Yong Yang, and Menghan Sun, Dynamic response of a cylindrical cavity to SH wave in inhomogeneous continuum with modulus varying two-dimensionally, Waves Random Complex Medium., pp. 1–18, 2020. DOI: 10.1080/17455030.2020.1818873.
   Web of Science ®Google Scholar