热弹性介质和磁热弹性介质界面上的平面波

IF 1.6 3区 数学 Q1 MATHEMATICS Mathematical Modelling and Analysis Pub Date : 2024-06-12 DOI:10.3846/mma.2024.18477
Annu Rani, D. K. Madan, Naveen Kumar, Mukesh Punia
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引用次数: 0

摘要

本研究探讨了波在半无限各向同性磁热弹性固体和具有焊接接触的半无限热弹性固体中的传播。研究调查了磁场对半无限空间磁热弹性固体中热波、SV 波和 P 波入射振幅系数的影响。这些波的入射总共产生六种波,包括折射波和反射波。以铜和铝为数值常数,探讨了不同磁压值下振幅系数的波动。研究发现,在磁热弹性固体半无限空间中,热波、SV 波和 P 波入射时产生的地震波振幅系数取决于入射角、磁场和材料常数。值得注意的是,SV 波入射时的振幅系数仅受磁场的轻微影响。这项研究的意义延伸到海洋声学、地球物理学、声学设备、复合材料和无损检测等领域的应用。
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PLANE WAVES AT AN INTERFACE OF THERMOELASTIC AND MAGNETO-THERMOELASTIC MEDIA
This research examines the propagation of waves in a semi-infinite, isotropic magneto-thermoelastic solid, and a semi-infinite thermoelastic solid with welded contact. The study investigates the influence of a magnetic field on amplitude coefficients for the incidence of thermal, SV, and P waves in the magnetothermoelastic solid in a semi-infinite space. The incidence of these waves results in a total of six waves, including both refracted and reflected waves. The fluctuation of amplitude coefficients for various magnetic pressure values is explored for copper and aluminum as numerical constants. The study observes that the amplitude coefficients of seismic waves, occurring during the incidence of thermal, SV, and P waves in the magneto-thermoelastic solid semi-infinite space, are dependent on the incident angle, magnetic field, and material constants. Notably, the amplitude coefficients for the incidence of SV waves exhibit only a minor influence from the magnetic field. The implications of this research extend to applications in ocean acoustics, geophysics, acoustic devices, composite materials, and non-destructive testing.
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来源期刊
CiteScore
2.80
自引率
5.60%
发文量
28
审稿时长
4.5 months
期刊介绍: Mathematical Modelling and Analysis publishes original research on all areas of mathematical modelling and analysis.
期刊最新文献
PLANE WAVES AT AN INTERFACE OF THERMOELASTIC AND MAGNETO-THERMOELASTIC MEDIA A NOTE ON FRACTIONAL-TYPE MODELS OF POPULATION DYNAMICS SPECTRAL METHOD FOR ONE DIMENSIONAL BENJAMIN-BONA-MAHONY-BURGERS EQUATION USING THE TRANSFORMED GENERALIZED JACOBI POLYNOMIAL EXISTENCE RESULTS IN WEIGHTED SOBOLEV SPACE FOR QUASILINEAR DEGENERATE P(Z)−ELLIPTIC PROBLEMS WITH A HARDY POTENTIAL MATHEMATICAL MODELLING ELECTRICALLY DRIVEN FREE SHEAR FLOWS IN A DUCT UNDER UNIFORM MAGNETIC FIELD
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