Rayleigh Wave Propagation at Viscous Liquid/Micropolar Micro-stretch Elastic Solid

被引:2
|
作者
Somaiah, K. [1 ]
Kumar, A. Ravi [2 ]
机构
[1] Kakatiya Univ, Dept Math, Warangal, India
[2] Satavahana Univ, Dept Math, Karimnagar, India
来源
关键词
Micropolar micro-stretch elasticity; Viscous liquid layer; Rayleigh waves; Frequency equation;
D O I
10.26713/cma.v14i1.1935
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, the governing equations of a homogeneous, isotropic micropolar micro -stretch elastic solid for xz-plane are considered and solved for surface wave propagation. Two types of frequency equations for Rayleigh waves are derived, in which one is along the free surface of micropolar micro-stretch elastic solid half space and another is at viscous liquid/micropolar micro -stretch solid interface. These are dispersive in nature. In the study of some particular cases, we observed that four types of Rayleigh waves are propagate, out of these, two waves are at free surface of generalized micropolar solid and micro-stretch solid and another two types of waves are at interface of viscous liquid/non-microstretch solid. In these four waves, three Rayleigh waves are dependent on solid density and one of them is non-dispersive in nature. Numerical example is considered for a particular solid and viscous liquid layer and the frequency curves are drawn and discussed with the help of MAT LAB programme.
引用
收藏
页码:89 / 103
页数:15
相关论文
共 50 条
  • [21] WAVE-PROPAGATION IN A MICROPOLAR ELASTIC CYLINDER
    VASUDEVA, RY
    BHASKARA, RK
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1978, 16 (05) : 299 - 302
  • [22] WAVE-PROPAGATION IN A MICRO-ISOTROPIC, MICRO-ELASTIC SOLID
    PARAMESHWARAN, S
    KOH, SL
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1973, 11 (01) : 95 - 107
  • [23] ROTATIONAL EFFECTS ON PROPAGATION OF RAYLEIGH WAVE IN A MICROPOLAR PIEZOELECTRIC MEDIUM
    Singh, Baljeet
    Sindhu, Ritu
    JOURNAL OF THEORETICAL AND APPLIED MECHANICS-BULGARIA, 2018, 48 (02): : 93 - 105
  • [24] Characterizing Reflection and Refraction Phenomenon at the Interface Between Nonlocal Micropolar Elastic Solid and Viscous Liquid
    Ravinder Kumar
    Pawan Priyadarshan
    Dinesh Kumar Kumar
    Neetu Madan
    undefined Malik
    Mechanics of Solids, 2024, 59 (6) : 3571 - 3583
  • [25] Wave propagation in nonlocal orthotropic micropolar elastic solids
    Tung, D. X.
    ARCHIVES OF MECHANICS, 2021, 73 (03): : 237 - 251
  • [26] DYNAMIC PROPAGATION OF A FINITE CRACK IN A MICROPOLAR ELASTIC SOLID
    HAN, SY
    NARASIMHAN, MNL
    KENNEDY, TC
    ACTA MECHANICA, 1990, 85 (3-4) : 179 - 191
  • [27] Inverse problem of the Love wave propagation in elastic waveguides loaded with a viscous liquid
    Kielczynski, P.
    Szalewski, M.
    Balcerzak, A.
    2012 IEEE INTERNATIONAL ULTRASONICS SYMPOSIUM (IUS), 2012, : 1501 - 1504
  • [28] Propagation characteristics of longitudinal displacement wave in micropolar fluid with micropolar elastic plate
    Sun Qingyong
    Xu Hongyu
    Liang Bin
    FRONTIER OF NANOSCIENCE AND TECHNOLOGY, 2011, 694 : 923 - 927
  • [29] Wave Propagation in Couple Stress Micropolar Thermoelastic Solid under an Inviscid Liquid Layer
    Sahrawat, Ravinder Kumar
    Rani, Sonam
    MECHANICS OF SOLIDS, 2023, 58 (09) : 3199 - 3225
  • [30] Wave Propagation in Couple Stress Micropolar Thermoelastic Solid under an Inviscid Liquid Layer
    Ravinder Kumar Sahrawat
    Sonam Rani
    Mechanics of Solids, 2023, 58 : 3199 - 3225