Analytical study on the propagation of semi-infinite crack due to SH-wave in pre-stressed magnetoelastic orthotropic strip

References

• Abbas, I., A. M. Hobiny, and M. Marin. 2020. Photo-thermal interactions in a semi-conductor material with cylindrical cavities and variable thermal conductivity. Journal of Taibah University for Science 14 (1):1369–76. doi:10.1080/16583655.2020.1824465.
   Web of Science ®Google Scholar
• Abbas, I. A. 2007. Finite element analysis of the thermoelastic interactions in an unbounded body with a cavity. Forschung im Ingenieurwesen 71 (3–4):215–22. doi:10.1007/s10010-007-0060-x.
   Web of Science ®Google Scholar
• Abbas, I. A., and R. Kumar. 2016. 2D deformation in initially stressed thermoelastic half-space with voids. Steel and Composite Structures 20 (5):1103–17. doi:10.12989/scs.2016.20.5.1103.
   Web of Science ®Google Scholar
• Abo-Dahab, S. M., A. M. Abd-Alla, and M. I. Othman. 2022. Reflection of plane waves on generalized thermoelastic medium under effect of temperature dependent properties and initial stress with three-phase-lag model. Mechanics Based Design of Structures and Machines 50 (4):1184–97. doi:10.1080/15397734.2020.1749069.
   Web of Science ®Google Scholar
• Al-Basyouni, K. S., and S. R. Mahmoud. 2021. Effect of the magnetic field, initial stress, rotation, and nonhomogeneity on stresses in orthotropic material. Physical Mesomechanics 24 (3):303–10. doi:10.1134/S1029959921030085.
   Web of Science ®Google Scholar
• Alzahrani, F., A. Hobiny, I. Abbas, and M. Marin. 2020. An eigenvalues approach for a two-dimensional porous medium based upon weak, normal and strong thermal conductivities. Symmetry 12 (5):848. doi:10.3390/sym12050848.
   Google Scholar
• Ayatollahi, M., R. Bagheri, M. Nourazar, M. M. Monfared, and S. M. Mousavi. 2017. Analytic solutions of multiple moving cracks in an orthotropic layer bonded to an orthotropic FGM coating. Applied Mathematics and Computation 293:394–403. doi:10.1016/j.amc.2016.08.015.
   Web of Science ®Google Scholar
• Bagdoev, A. G., L. A. Movsisyan, and A. V. Shekoyan. 1999. Antiplane problem of magnetoelasticity for crack propagation in a medium. International Applied Mechanics 35 (1):69–75. doi:10.1007/BF02682065.
   Web of Science ®Google Scholar
• Baoxing, C., and Z. Xiangzhou. 1992. Dynamic mode II stress intensity factors of an infinite cracked medium subjected to transient concentrated forces. International Journal of Fracture 57 (2):183–98. doi:10.1007/BF00035718.
   Web of Science ®Google Scholar
• Bayones, F. S., A. E. M. Abd-Alla, G. A. Yahya, and A. M. Farhan. 2023. The effect of rotation on the free vibrations in a non-homogeneous orthotropic magneto-elastic hollow sphere. Mechanics Based Design of Structures and Machines 51 (6):3313–28. doi:10.1080/15397734.2021.1922289.
   Web of Science ®Google Scholar
• Biot, M. A. 1940. The influence of initial stress on elastic waves. Journal of Applied Physics 11 (8):522–30. doi:10.1063/1.1712807.
   Google Scholar
• Bohdanov, V. L. 2015. Influence of initial stresses on the fracture of composite material weakened by a subsurface mode III crack. Journal of Mathematical Sciences 205 (5):621–34. doi:10.1007/s10958-015-2270-3.
   Google Scholar
• Cagniard, L. 1952. On the propagation of waves in an electromagnetic elastic solid. Comptes Rendus 234:1706–21.
   Google Scholar
• Chattaraj, R., S. K. Samal, and N. C. Mahanti. 2013. Dispersion of love wave propagating in irregular anisotropic porous stratum under initial stress. International Journal of Geomechanics 13 (4):402–8. doi:10.1061/(ASCE)GM.19435622.0000230.
   Web of Science ®Google Scholar
• Chattopadhyay, A, and Maugin, G. A. 1986.Propagation of crack due to magnetoelastic shear waves in a perfect elastic conductor. Indian Journal of Pure and Applied Mathematics 17(6):843–55.
   Google Scholar
• Chattopadhyay, A., and A. K. Singh. 2012. Propagation of magnetoelastic shear waves in an irregular self-reinforced layer. Journal of Engineering Mathematics 75 (1):139–55. doi:10.1007/s10665-011-9519-8.
   Web of Science ®Google Scholar
• Chattopadhyay, A., S. Gupta, A. Chattopadhyay, and A. K. Singh. 2010. The dispersion of shear wave in multilayered magnetoelastic self-reinforced media. International Journal of Solids and Structures 47 (9):1317–24. doi:10.1016/j.ijsolstr.2010.01.019.
   Web of Science ®Google Scholar
• Chen, E. P. 1977. Impact response of a finite crack in a finite strip under anti-plane shear. Engineering Fracture Mechanics 9 (3):719–24. doi:10.1016/0013-7944(77)90084-4.
   Web of Science ®Google Scholar
• Choi, H. J. 2018. Transient response of an edge interfacial crack in bonded dissimilar strips with a functionally graded interlayer under an antiplane shear impact. Theoretical and Applied Fracture Mechanics 93:177–82. doi:10.1016/j.tafmec.2017.07.026.
   Web of Science ®Google Scholar
• Dimitri, R., M. Rinaldi, M. Trullo, and F. Tornabene. 2023. Theoretical and computational investigation of the fracturing behavior of anisotropic geomaterials. Continuum Mechanics and Thermodynamics 35 (4):1417–32. doi:10.1007/s00161-022-01141-4.
   Web of Science ®Google Scholar
• Dimitri, R., M. Rinaldi, M. Trullo, F. Tornabene, and C. Fidelibus. 2021. FEM/XFEM modeling of the 3D fracturing process in transversely isotropic geomaterials. Composite Structures 276:114502. doi:10.1016/j.compstruct.2021.114502.
   Web of Science ®Google Scholar
• Erdelyi, A., W. Magnus, F. Oberhettinger, and F. G. Tricomi. 1954. Tables of integral transforms. Vol. 2. New York: McGraw-Hill Book Company.
   Google Scholar
• Freund, L. B. 1972. Crack propagation in an elastic solid subjected to general loading—I. Constant rate of extension. Journal of the Mechanics and Physics of Solids 20 (3):129–40. doi:10.1016/0022-5096(72)90006-3.
   Web of Science ®Google Scholar
• Guha, S., and A. K. Singh. 2021. Plane wave reflection/transmission in imperfectly bonded initially stressed rotating piezothermoelastic fiber-reinforced composite half-spaces. European Journal of Mechanics-A/Solids 88:104242. doi:10.1016/j.euromechsol.2021.104242.
   Web of Science ®Google Scholar
• Guha, S., and A. K. Singh. 2020. Effects of initial stresses on reflection phenomenon of plane waves at the free surface of a rotating piezothermoelastic fiber-reinforced composite half-space. International Journal of Mechanical Sciences 181:105766. doi:10.1016/j.ijmecsci.2020.105766.
   Web of Science ®Google Scholar
• Hao, X., W. Du, Y. Zhao, Z. Sun, Q. Zhang, S. Wang, and H. Qiao. 2020. Dynamic tensile behaviour and crack propagation of coal under coupled static-dynamic loading. International Journal of Mining Science and Technology 30 (5):659–68. doi:10.1016/j.ijmst.2020.06.007.
   Web of Science ®Google Scholar
• Hobiny, A. D., and I. A. Abbas. 2016. Analytical solution of magnetothermoelastic interaction in a fiber-reinforced anisotropic material. The European Physical Journal Plus 131 (12):1–14. doi:10.1140/epjp/i2016-16424-8.
   Web of Science ®Google Scholar
• Hou, C., T. Zhang, Z. Sun, D. Dias, and M. Shang. 2019. Seismic analysis of nonhomogeneous slopes with cracks using a discretization kinematic approach. International Journal of Geomechanics 19 (9):04019104. doi:10.1061/(ASCE)GM.1943-5622.0001487.
   Web of Science ®Google Scholar
• Ing, Y. S., and C. C. Ma. 1999. Transient analysis of a propagating crack with finite length subjected to a horizontally polarized shear wave. International Journal of Solids and Structures 36 (30):4609–27. doi:10.1016/S0020-7683(98)00207-8.
   Web of Science ®Google Scholar
• Itou, S. 1979. Three-dimensional problem of a running crack. International Journal of Engineering Science 17 (1):59–71. doi:10.1016/0020-7225(79)90007-7.
   Web of Science ®Google Scholar
• Itou, S. 1980. Dynamic stress concentration around a rectangular crack in an infinite elastic medium. ZAMM-Zeitschrift für Angewandte Mathematik und Mechanik 60 (8):317–22. doi:10.1002/zamm.19800600806.
   Web of Science ®Google Scholar
• Itou, S. 2016. Transient dynamic stress intensity factors around three stacked parallel cracks in an infinite medium during passage of an impact normal stress. International Journal of Solids and Structures 78-79:199–204. doi:10.1016/j.ijsolstr.2015.08.024.
   Web of Science ®Google Scholar
• Kakar, R., and S. Kakar. 2017. Love-type surface wave in an isotropic layer bounded between orthotropic and heterogeneous half-spaces under initial stresses. International Journal of Geomechanics 17 (3):04016083. doi:10.1061/(ASCE)GM.1943-5622.0000765.
   Web of Science ®Google Scholar
• Karan, S., P. Mandal, S. Basu, and S. C. Mandal. 2021. Interaction of shear waves with semi-infinite moving crack inside of a orthotropic media. Waves in Random and Complex Media 1–17. doi:10.1080/17455030.2021.1987583.
   Web of Science ®Google Scholar
• Karim, M. R., and T. Kundu. 1988. Transient surface response of layered isotropic and anisotropic half-spaces with interface cracks: SH case. International Journal of Fracture 37 (4):245–62. doi:10.1007/BF00032532.
   Web of Science ®Google Scholar
• Khiem, N. T., T. T. Hai, and L. Q. Huong. 2023. Modal analysis of cracked FGM beam with piezoelectric layer. Mechanics Based Design of Structures and Machines 51 (9):5120–40. doi:10.1080/15397734.2021.1992775.
   Web of Science ®Google Scholar
• Knopoff, L. 1955. The interaction between elastic wave motions and a magnetic field in electrical conductors. Journal of Geophysical Research 60 (4):441–56. doi:10.1029/JZ060i004p00441.
   Web of Science ®Google Scholar
• Liang, W., Y. P. Shen, and M. Zhao. 2000. Magnetoelastic formulation of soft ferromagnetic elastic problems with collinear cracks: Energy density fracture criterion. Theoretical and Applied Fracture Mechanics 34 (1):49–60. doi:10.1016/S0167-8442(00)00023-9.
   Web of Science ®Google Scholar
• Lotfy, K., A. A. El-Bary, M. Allan, and M. H. Ahmed. 2023. Generalized thermal microstretch elastic solid with harmonic wave for mode-I crack problem. Archives of Thermodynamics 41 (2):147–68. doi:10.24425/ather.2020.133626.
   Google Scholar
• Lotfy, K., and A. El-Bary. 2021. Mode-I crack for a rotational fibre-reinforced thermoelastic medium with thermal relaxation time. Waves in Random and Complex Media 1–22. doi:10.1080/17455030.2021.1905913.
   Web of Science ®Google Scholar
• Ciavarella, M., and A. Papangelo. 2021. Effects of finite thickness on crack propagation in viscoelastic materials. Engineering Fracture Mechanics 248:107703. doi:10.1016/j.engfracmech.2021.107703.
   Web of Science ®Google Scholar
• Ma, C. C., and Y. S. Ing. 1997. Dynamic crack propagation in a layered medium under antiplane shear. Journal of Applied Mechanics 64 (1):66–72. doi:10.1115/1.2787295.
   Web of Science ®Google Scholar
• Marin, M., A. Hobiny, and I. Abbas. 2021. The effects of fractional time derivatives in porothermoelastic materials using finite element method. Mathematics 9 (14):1606. doi:10.3390/math9141606.
   Web of Science ®Google Scholar
• Monfared, M. M., and R. Bagheri. 2023. In-plane stress analysis in a cracked functionally graded piezoelectric plane. Mechanics Based Design of Structures and Machines 51 (8):4508–34. doi:10.1080/15397734.2021.1967166.
   Web of Science ®Google Scholar
• Nazarenko, V. M., and V. L. Bogdanov. 2007. Fracture under initial stresses acting along cracks: Approach, concept and results. Theoretical and Applied Fracture Mechanics 48 (3):285–303. doi:10.1016/j.tafmec.2007.08.001.
   Web of Science ®Google Scholar
• Ni, T., M. Zaccariotto, and U. Galvanetto. 2023. A peridynamic approach to simulating fatigue crack propagation in composite materials. Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences 381 (2240):20210217. doi:10.1098/rsta.2021.0217.
   PubMed Web of Science ®Google Scholar
• Noble, B. 1958. Methods based on the Wiener-Hopf technique for the solution of partial differential equations, 332. New York: Chelsea Pub. Co.
   Google Scholar
• Othman, M. I., and S. Y. Atwa. 2013. 2-D problem of a Mode-I crack for a generalized thermoelasticity under Green-Naghdi theory. Meccanica 48 (6):1543–51. doi:10.1007/s11012-012-9683-6.
   Web of Science ®Google Scholar
• Othman, M. I., and S. Y. Atwa. 2014. Propagation of plane waves of a mode-I crack for a generalized thermoelasticity under influence of gravity for different theories. Mechanics of Advanced Materials and Structures 21 (9):697–709. doi:10.1080/15376494.2012.707298.
   Web of Science ®Google Scholar
• Othman, M. I., and E. E. Eraki. 2017. Generalized magneto-thermoelastic half-space with diffusion under initial stress using three-phase-lag model. Mechanics Based Design of Structures and Machine 45 (2):145–59. doi:10.1080/15397734.2016.1152193.
   Web of Science ®Google Scholar
• Othmani, C., and T. Khelfa. 2023. Effect of graded pre-stress on the propagation of guided waves in functionally graded piezoelectric–piezomagnetic materials. Mechanics Research Communications 127:104037. doi:10.1016/j.mechrescom.2022.104037.
   Web of Science ®Google Scholar
• Palaniswamy, K., and W. G. Knauss. 1972. Propagation of a crack under generalin-plane tension. International Journal of Fracture Mechanics 8 (1):114–7. doi:10.1007/BF00185207.8.
   Web of Science ®Google Scholar
• Prosser, W. H, and R. E. Green. 1990. Characterization of the nonlinear elastic properties of graphite/epoxy composites using ultrasound. Journal of Reinforced Plastics and Composites 9 (2):162–73. doi:10.1177/073168449000900206.
   Web of Science ®Google Scholar
• Rao, Q., C. Zhao, and W. Yi. 2023. A new mixed-mode phase-field model for crack propagation of brittle rock. Journal of Rock Mechanics and Geotechnical Engineering 15 (5):1186–99. doi:10.1016/j.jrmge.2022.10.019.
   Web of Science ®Google Scholar
• Rinaldi, M., M. Trullo, F. Tornabene, and R. Dimitri. 2023. Fracturing process in an anisotropic layered geomaterial: Theoretical and computational predictions. In Theoretical and Applied Mechanics AIMETA 2022, Vol. 26, 29–34. Materials Research Forum LLC. doi:10.21741/9781644902431-5.
   Google Scholar
• Shi, D., Y. Lin, and T. C. Ovaert. 2003. Indentation of an orthotropic half-space by a rigid ellipsoidal indenter. Journal of Tribology 125 (2):223–31. doi:10.1115/1.1537743.
   Web of Science ®Google Scholar
• Shindo, Y., T. Komatsu, F. Narita, and K. Horiguchi. 2006. Magnetoelastic analysis and tensile testing of a soft ferromagnetic strip with a single-edge crack. Journal of Applied Physics 100 (3):034513. doi:10.1063/1.2222068.
   Web of Science ®Google Scholar
• Sih, G. C., and J. F. Loeber. 1969. Wave propagation in an elastic solid with a line of discontinuity or finite crack. Quarterly of Applied Mathematics 27 (2):193–213. doi:10.1090/qam/99830.
   Web of Science ®Google Scholar
• Singh, A. K., and A. K. Singh. 2022a. Dynamic stress concentration of a smooth moving punch influenced by a shear wave in an initially stressed dry sandy layer. Acta Mechanica 233 (5):1757–68. doi:10.1007/s00707-022-03197-4.
   Web of Science ®Google Scholar
• Singh, A. K., and A. K. Singh. 2022b. Analysis on the propagation of crack in a functionally graded orthotropic strip under pre-stress. Waves in Random and Complex Media 1–19. doi:10.1080/17455030.2022.2048128.
   Web of Science ®Google Scholar
• Singh, A. K., and A. K. Singh. 2022c. Mathematical study on the propagation of Griffith crack in a dry sandy strip subjected to punch pressure. Waves in Random and Complex Media 1–18. doi:10.1080/17455030.2022.2118397.
   Web of Science ®Google Scholar
• Singh, A. K., A. K. Singh, S. Guha, and D. Kumar. 2023. Mathematical analysis on the propagation of Griffith crack in an initially stressed strip subjected to punch pressure. Mechanics Based Design of Structures and Machines :1–19.
   Web of Science ®Google Scholar
• Singh, A. K., A. K. Singh, and S. Kaushik. 2023. On analytical study of Griffith crack propagation in a transversely isotropic dry sandy punch pressured strip. Physica Scripta 98 (9):095246. doi:10.1088/1402-4896/acef6d.
   Web of Science ®Google Scholar
• Singh, A. K., A. K. Singh, and R. P. Yadav. 2020. Stress intensity factor of dynamic crack in double-layered dry sandy elastic medium due to shear wave under different loading conditions. International Journal of Geomechanics 20 (11):04020215. doi:10.1061/(ASCE)GM.1943-5622.0001827.
   Web of Science ®Google Scholar
• Singh, A. K., R. P. Yadav, K. C. Mistri, and A. Chattopadhyay. 2016. Influence of anisotropy, porosity and initial stresses on crack propagation due to Love‐type wave in a poroelastic medium. Fatigue & Fracture of Engineering Materials & Structures 39 (5):624–36. doi:10.1111/ffe.12393.
   Web of Science ®Google Scholar
• Singh, B. M., and T. B. Moodie. 1981. Closed-form solutions for finite length crack moving in a strip under anti-plane shear stress. Acta Mechanica 38 (1–2):99–109. doi:10.1007/BF01351465.
   Web of Science ®Google Scholar
• Titchmark, E. C. 1939. Theory of Fourier integrals. London: Oxford University Press.
   Google Scholar
• Tornabene, F., M. Viscoti, R. Dimitri, and M. A. Aiello. 2021. Higher-order modeling of anisogrid composite lattice structures with complex geometries. Engineering Structures 244:112686. doi:10.1016/j.engstruct.2021.112686.
   Web of Science ®Google Scholar
• Wu, K. C., Y. L. Hou, and S. M. Huang. 2015. Transient analysis of multiple parallel cracks under anti-plane dynamic loading. Mechanics of Materials 81:56–61. doi:10.1016/j.mechmat.2014.10.006.
   Web of Science ®Google Scholar
• Yadav, R. P., A. K. Singh, and A. Chattopadhyay. 2018. Analytical study on the propagation of rectilinear semi-infinite crack due to love-type wave propagation in a structure with two dissimilar transversely isotropic layer. Engineering Fracture Mechanics 199:201–19. doi:10.1016/j.engfracmech.2018.05.025.
   Web of Science ®Google Scholar
• Yu, J, and C. Zhang. 2014. Effects of initial stress on guided waves in orthotropic functionally graded plates. Applied Mathematical Modelling 38 (2):464–78. doi:10.1016/j.apm.2013.06.029.
   Web of Science ®Google Scholar
• Yu, J., Q. Zhang, S. Zhang, Z. Gu, and C. Jia. 2022. Investigation on fracture mode and initiation mechanisms of cracks in sandstone disk containing a pre-existing flaw. International Journal of Geomechanics 22 (1):04021252. doi:10.1061/(ASCE)GM.1943-5622.0002231.
   Web of Science ®Google Scholar
• Zenkour, A. M., and I. A. Abbas. 2014. Nonlinear transient thermal stress analysis of temperature-dependent hollow cylinders using a finite element model. International Journal of Structural Stability and Dynamics 14 (7):1450025. doi:10.1142/S0219455414500254.
   Web of Science ®Google Scholar
• Zhang, C. 2000. Transient elastodynamic antiplane crack analysis of anisotropic solids. International Journal of Solids and Structures 37 (42):6107–30. doi:10.1016/S0020-7683(99)00260-7.
   Web of Science ®Google Scholar
• Zhang, R., Y. Pang, and W. Feng. 2014. Propagation of Rayleigh waves in a magneto-electro-elastic half-space with initial stress. Mechanics of Advanced Materials and Structures 21 (7):538–543. doi:10.1080/15376494.2012.699595.
   Web of Science ®Google Scholar