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Guo ZIQIANG, TANG RONGYU h. 1983: MAGNETO-THERMO-VISCOELASTIC PLANE WAVES IN AN INITIALLY STRESSED MEDIUM. Acta Seismologica Sinica, 5(1): 47-54.
Citation: Guo ZIQIANG, TANG RONGYU h. 1983: MAGNETO-THERMO-VISCOELASTIC PLANE WAVES IN AN INITIALLY STRESSED MEDIUM. Acta Seismologica Sinica, 5(1): 47-54.
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MAGNETO-THERMO-VISCOELASTIC PLANE WAVES IN AN INITIALLY STRESSED MEDIUM

  • University of Science and Technology of China

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  • Published Date: August 31, 2011
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  • This paper is concerned with the plane waves in a magneto-thermo-viscoelastie initially stressed medium. Firstly, the basic equations of motion to be satisfied by the electromagnetic, displacement and temperature fields of a magneto-thermo-viseoe-lastic medium under initial stress have been deduced. They are then employed to investigate the propagation of plane waves in a magnetothermo-viscoelastic medium under two cases of initial stress: a) hydrostatic compression or tension; b) uniaxial compression or extension, and then the influence of weak coupling on the propagation of waves of the thermal and magnetic effect was studied. The results obtained are in complete agreement with the corresponding classical visco-elastic problems when the initial stress, thermal and magnetic couplings are absent.
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    • References (1)
  • [1] Iy. Knopoff, The interaction between elastic waves motions and a magnetic field in elastic conductros, J. Geophys. Res., 60. 441, 1955.

    [2] M. A. Biot, Mechanics of incremental deformations, New York, 1965.

    [3] C. P. Yu, S. Tang,, Magneto——elastic waves in initially stress conductors, Z. Angew. Math. U. Physik, 17, 766, 1966.

    [4] D. Acharya, P. R. Sengupta, Magneto——thermoelastic waves in an initially stressed conducting layer, Gerlam,da. Beitr. Geophya. Leip., 3, 229, 1978.

    [5] 郭自强,初始应力及磁场作用下导电粘弹体内的平面波,地球物理学报,待发表.

    [6] D. S. Chandraekhariah, The propagation of magnetothermo——viscoelsstic plane waves in a parallel union of the Kelvin and Maxwell bodies, Proc, Camb. Phil. Soc. 70, 343, 1971.

    [7] A. N. Sinha, S. B. Simha, Reflection of thermoelastic waves at a solid half——space with thermal relaxation, J. Phys. Earth., 22, 237, 1974.

    [1] Iy. Knopoff, The interaction between elastic waves motions and a magnetic field in elastic conductros, J. Geophys. Res., 60. 441, 1955.

    [2] M. A. Biot, Mechanics of incremental deformations, New York, 1965.

    [3] C. P. Yu, S. Tang,, Magneto——elastic waves in initially stress conductors, Z. Angew. Math. U. Physik, 17, 766, 1966.

    [4] D. Acharya, P. R. Sengupta, Magneto——thermoelastic waves in an initially stressed conducting layer, Gerlam,da. Beitr. Geophya. Leip., 3, 229, 1978.

    [5] 郭自强,初始应力及磁场作用下导电粘弹体内的平面波,地球物理学报,待发表.

    [6] D. S. Chandraekhariah, The propagation of magnetothermo——viscoelsstic plane waves in a parallel union of the Kelvin and Maxwell bodies, Proc, Camb. Phil. Soc. 70, 343, 1971.

    [7] A. N. Sinha, S. B. Simha, Reflection of thermoelastic waves at a solid half——space with thermal relaxation, J. Phys. Earth., 22, 237, 1974.
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