Dynamic response of a functionally graded cylindrical tube with power-law varying properties due to SH-waves

References

• Praveen GN, Reddy JN. Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates. Int J Solids Struct. 1998;35(33):4457–4476. doi:10.1016/S0020-7683(97)00253-9.
   Web of Science ®Google Scholar
• Yang J, Shen HS. Dynamic response of initially stressed functionally graded rectangular thin plates. Compos Struct. 2001;54(4):497–508. doi:10.1016/S0263-8223(01)00122-2.
   Web of Science ®Google Scholar
• Han X, Liu GR. Effects of SH waves in a functionally graded plate. Mech Res Commun. 2002;29(5):327–338. doi:10.1016/S0093-6413(02)00316-6.
   Web of Science ®Google Scholar
• Huang XL, Shen HS. Nonlinear vibration and dynamic response of functionally graded plates in thermal environments. Int J Solids Struct. 2004;41(9-10):2403–2427. doi:10.1016/j.ijsolstr.2003.11.012.
   Web of Science ®Google Scholar
• Kuznetsov SV. Lamb waves in stratified and functionally graded plates: discrepancy, similarity, and convergence. Waves Random Complex Media. 2020. doi:10.1080/17455030.2019.1683257.
   Web of Science ®Google Scholar
• Aminipour H, Janghorban M, Li L. Wave dispersion in nonlocal anisotropic macro/nanoplates made of functionally graded materials. Waves Random Complex Media. 2020. doi:10.1080/17455030.2020.1713422.
   Web of Science ®Google Scholar
• Strozzi M, Pellicano F. Nonlinear vibrations of functionally graded cylindrical shells. Thin-Walled Struct. 2013;67:63–77. doi:10.1016/j.tws.2013.01.009.
   Web of Science ®Google Scholar
• Qiao S, Shang XC, Pan EN. Characteristics of elastic waves in FGM spherical shells, an analytical solution. Wave Motion. 2016;62:114–128. doi:10.1016/j.wavemoti.2016.01.001.
   Web of Science ®Google Scholar
• Li HC, Pang FZ, Chen HL, et al. Vibration analysis of functionally graded porous cylindrical shell with arbitrary boundary restraints by using a semi analytical method. Compos B Eng. 2019;164:249–264. doi:10.1016/j.compositesb.2018.11.046.
   Web of Science ®Google Scholar
• Al-Furjan MSH, Habibi M, Ebrahimi F, et al. Wave dispersion characteristics of high-speed-rotating laminated nanocomposite cylindrical shells based on four continuum mechanics theories. Waves Random Complex Media. 2020. doi:10.1080/17455030.2020.1831099.
   Web of Science ®Google Scholar
• Sankar BV. An elasticity solution for functionally graded beams. Compos Sci Technol. 2001;61(5):689–696. doi:10.1016/S0266-3538(01)00007-0.
   Web of Science ®Google Scholar
• Kapuria S, Bhattacharyya M, Kumar AN. Bending and free vibration response of layered functionally graded beams: a theoretical model and its experimental validation. Compos Struct. 2008;82(3):390–402. doi:10.1016/j.compstruct.2007.01.019.
   Web of Science ®Google Scholar
• Trinh LC, Vo TP, Thai HT, et al. An analytical method for the vibration and buckling of functionally graded beams under mechanical and thermal loads. Compos B Eng. 2016;100:152–163. doi:10.1016/j.compositesb.2016.06.067.
   Web of Science ®Google Scholar
• Ebrahimi F, Barati MR. Scale-dependent effects on wave propagation in magnetically affected single/double-layered compositionally graded nanosize beams. Waves Random Complex Media. 2018;28(2):326–342. doi:10.1080/17455030.2017.1346331.
   Web of Science ®Google Scholar
• Norouzzadeh A, Ansari R, Rouhi H. An analytical study on wave propagation in functionally graded nano-beams/tubes based on the integral formulation of nonlocal elasticity. Waves Random Complex Media. 2020;30(3):562–580. doi:10.1080/17455030.2018.1543979.
   Web of Science ®Google Scholar
• Reddy JN, Chin CD. Thermomechanical analysis of functionally graded cylinders and plates. J Therm Stresses. 1998;21(6):593–626. doi:10.1080/01495739808956165.
   Web of Science ®Google Scholar
• Han X, Liu GR, Xi ZC, et al. Characteristics of waves in a functionally graded cylinder. Int J Numer Methods Eng. 2002;53(3):653–676. doi:10.1002/nme.305.
   Web of Science ®Google Scholar
• Shakeri M, Akhlaghi M, Hoseini SM. Vibration and radial wave propagation velocity in functionally graded thick hollow cylinder. Compos Struct. 2006;76(1-2):174–181. doi:10.1016/j.compstruct.2006.06.022.
   Web of Science ®Google Scholar
• Baron C. Propagation of elastic waves in an anisotropic functionally graded hollow cylinder in vacuum. Ultrasonics. 2011;51(2):123–130. doi:10.1016/j.ultras.2010.07.001.
   PubMed Web of Science ®Google Scholar
• Cao ZG, Xu YF, Yuan ZH, et al. Nonstationary vibration responses of a three-dimensional tunnel-soil system excited by moving stochastic load. Comput Geotech. 2020;125; doi:10.1016/j.compgeo.2020.103658.
   Web of Science ®Google Scholar
• Miao Y, Yao EL, Ruan B, et al. Seismic response of shield tunnel subjected to spatially varying earthquake ground motions. Tunn Undergr Space Technol. 2018;77:216–226. doi:10.1016/j.tust.2018.04.006.
   Web of Science ®Google Scholar
• Miao Y, Yao EL, Ruan B, et al. Improved hilbert spectral representation method and its application to seismic analysis of shield tunnel subjected to spatially correlated ground motions. Soil Dyn Earthq Eng. 2018;111:119–130. doi:10.1016/j.soildyn.2018.04.050.
   Web of Science ®Google Scholar
• He R, Kaynia AM, Zhang JS, et al. Influence of vertical shear stresses due to pile-soil interaction on lateral dynamic responses for offshore monopoles. Mar Struct. 2019;64:341–359. doi:10.1016/j.marstruc.2018.11.012.
   Web of Science ®Google Scholar
• Zhao M, Gao ZD, Du XL, et al. Response spectrum method for seismic soil-structure interaction analysis of underground structure. Bull Earthq Eng. 2019;17(9):5339–5363. doi:10.1007/s10518-019-00673-6.
   Web of Science ®Google Scholar
• Martin PA. Scattering by a cavity in an exponentially graded half-space. J Appl Mech-Trans ASME. 2009;76(3):031009. doi:10.1115/1.3086585.
   Web of Science ®Google Scholar
• Liu QJ, Zhao MJ, Zhang C. Antiplane scattering of SH waves by a circular cavity in an exponentially graded half space. Int J Eng Sci. 2014;78:61–72. doi:10.1016/j.ijengsci.2014.02.006.
   Web of Science ®Google Scholar
• Yang ZL, Zhang CQ, Yang Y, et al. Scattering of out-plane wave by a circular cavity near the right-angle interface in the exponentially inhomogeneous media. Wave Motion. 2017;72:354–362. doi:10.1016/j.wavemoti.2017.04.010.
   Web of Science ®Google Scholar
• Jiang GXX, Yang ZL, Sun C, et al. Analytical study of SH wave scattering by a cylindrical cavity in the two-dimensional and approximately linear inhomogeneous medium. Waves Random Complex Media. 2020. doi:10.1080/17455030.2019.1704308.
   Web of Science ®Google Scholar
• Liu QJ, Zhao MJ, Liu ZX. Wave function expansion method for the scattering of SH waves by two symmetrical circular cavities in two bonded exponentially graded half spaces. Eng Anal Bound Elem. 2019;106:389–396. doi:10.1016/j.enganabound.2019.05.015.
   Web of Science ®Google Scholar
• Cui CY, Meng K, Liang ZM, et al. Effect of radial homogeneity on low-strain integrity detection of a pipe pile in a viscoelastic soil layer. Int J Distrib Sens Netw. 2018;14(10). doi:10.1177/1550147718806459.
   Web of Science ®Google Scholar
• Cui CY, Meng K, Wu YJ, et al. Dynamic response of pipe pile embedded in layered visco-elastic media with radial inhomogeneity under vertical excitation. Geomech Eng. 2018;16(6):609–618. doi:10.12989/gae.2018.16.6.609.
   Web of Science ®Google Scholar
• Dai DH, El Naggar MH, Zhang N, et al. Vertical vibration of a pile embedded in radially disturbed viscoelastic soil considering the three-dimensional nature of soil. Comput Geotech. 2019;111:172–180. doi:10.1016/j.compgeo.2019.03.013.
   Web of Science ®Google Scholar
• Xiang HJ, Shi ZF, Zhang TT. Elastic analyses of heterogeneous hollow cylinders. Mech Res Commun. 2006;33(5):681–691. doi:10.1016/j.mechrescom.2006.01.005.
   Web of Science ®Google Scholar
• Shi ZF, Zhang TT, Xiang HJ. Exact solutions of heterogeneous elastic hollow cylinders. Compos Struct. 2007;79(1):140–147. doi:10.1016/j.compstruct.2005.11.058.
   Web of Science ®Google Scholar
• Horgan CO, Chan AM. The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. J Elast. 1999;55(1):43–59. doi:10.1023/A:1007625401963.
   Web of Science ®Google Scholar
• Jabbari M, Sohrabpour S, Eslami MR. General solution for mechanical and thermal stresses in a functionally graded hollow cylinder due to nonaxisymmetric steady-state loads. J Appl Mech - Trans ASME. 2003;70(1):111–118. doi:10.1115/1.1509484.
   Web of Science ®Google Scholar
• Eslami MR, Babaei MH, Poultangari R. Thermal and mechanical stresses in a functionally graded thick sphere. Int J Pressure Vessels Pip. 2005;82(7):522–527. doi:10.1016/j.ijpvp.2005.01.002.
   Web of Science ®Google Scholar
• Tutuncu N. Stresses in thick-walled FGM cylinders with exponentially-varying properties. Eng Struct. 2007;29(9):2032–2035. doi:10.1016/j.engstruct.2006.12.003.
   Web of Science ®Google Scholar
• Theotokoglou EE, Stampouloglou IH. The radially nonhomogeneous elastic axisymmetric problem. Int J Solids Struct. 2008;45(25-26):6535–6552. doi:10.1016/j.ijsolstr.2008.08.011.
   Web of Science ®Google Scholar
• Batra RC. Optimal design of functionally graded incompressible linear elastic cylinders and spheres. AIAA J. 2008;46(8):2050–2057. doi:10.2514/1.34937.
   Google Scholar
• Batra RC, Bahrami A. Inflation and eversion of functionally graded non-linear elastic incompressible circular cylinders. Int J Non-Linear Mech. 2009;44(3):311–323. doi:10.1016/j.ijnonlinmec.2008.12.005.
   Web of Science ®Google Scholar
• Tutuncu N, Temel B. A novel approach to stress analysis of pressurized FGM cylinders, disks and spheres. Compos Struct. 2009;91(3):385–390. doi:10.1016/j.compstruct.2009.06.009.
   Web of Science ®Google Scholar
• Nie GJ, Batra RC. Static deformations of functionally graded polar-orthotropic cylinders with elliptical inner and circular outer surfaces. Compos Sci Technol. 2010;70(3):450–457. doi:10.1016/j.compscitech.2009.11.018.
   Web of Science ®Google Scholar
• Kara HF, Aydogdu M. Dynamic response of a functionally graded tube embedded in an elastic medium due to SH-waves. Compos Struct. 2018;206:22–32. doi:10.1016/j.compstruct.2018.08.032.
   Web of Science ®Google Scholar
• Pao YH, Mow CC. Diffraction of elastic waves and dynamic stress concentrations. New York: Crane Russak; 1973.
   Google Scholar
• Lee VW, Trifunac MD. Response of tunnels to incident SH waves. J Eng Mech Divis. 1979;105(4):643–659.
   Web of Science ®Google Scholar
• Balendra T, Thambiratnam DP, Koh CG, et al. Dynamic response of twin circular tunnels due to incident SH-waves. Earthq Eng Struct Dyn. 1984;12(2):181–201.
   Web of Science ®Google Scholar
• Kara HF. A note on response of tunnels to incident SH-waves near hillsides. Soil Dyn Earthq Eng. 2016;90:138–146. doi:10.1016/j.soildyn.2016.08.021.
   Web of Science ®Google Scholar
• Gao YF, Chen X, Zhang N, et al. Scattering of plane SH waves induced by a semicylindrical canyon with a subsurface circular lined tunnel. Int J Geomech. 2018;18(6):06018012. doi:10.1061/(ASCE)GM.1943-5622.0001137.
   Web of Science ®Google Scholar
• Chen X, Zhang N, Gao YF, et al. Effects of a V-shaped canyon with a circular underground structure on surface ground motions under SH wave propagation. Soil Dyn Earthq Eng. 2019;127; doi:10.1016/j.soildyn.2019.105830.
   Web of Science ®Google Scholar
• Zhang N, Chen X, Gao YF, et al. Analytical solution to scattering of SH waves by a circular lined tunnel embedded in a semi-circular alluvial valley in an elastic half-space. Tunn Undergr Sp Tech. 2020;106; doi: 10.1016/j.tust.2020.103615.
   Web of Science ®Google Scholar
• Zhang N, Gao YF, Pak RYS. Soil and topographic effects on ground motion of a surficially inhomogeneous semi-cylindrical canyon under oblique incident SH waves. Soil Dyn Earthq Eng. 2017;95:17–28. doi:10.1016/j.soildyn.2017.01.037.
   Web of Science ®Google Scholar
• Zhang N, Zhang Y, Gao YF, et al. An exact solution for SH-wave scattering by a radially multilayered inhomogeneous semicylindrical canyon. Geophys J Int. 2019;217(2):1232–1260. doi:10.1093/gji/ggz083.
   Web of Science ®Google Scholar