Reflection of Plane Waves in a Transversely Isotropic Rotating Microstretch Elastic Half-Space

被引:3
作者
Gupta, Princy [1 ]
Sikka, Jitander Singh [1 ]
机构
[1] Maharshi Dayanand Univ, Dept Math, Rohtak, India
来源
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2023年 / 14卷 / 02期
关键词
Plane waves; Rotation; Microstretch elastic half-space; Amplitude ratios; SURFACE-WAVES; MICROPOLAR;
D O I
10.26713/cma.v14i2.2145
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, the impact of rotation on the propagation of plane waves for various rotation parameter values has been studied. For this purpose, a model has been developed which is assumed to rotate with uniform angular velocity. A transversely isotropic solid medium with microstretch elastic properties has linear governing equations that are focused in the x-z plane. For the incident Coupled Longitudinal Displacement (CLD) wave, four reflected coupled plane waves exists in the same medium. A half-space surface with no stresses of a material is thought to exist where the CLD wave reflects. On the stress-free surface of the half-space, the appropriate potentials for the incident and reflected waves satisfy the necessary boundary conditions, and relationships in the amplitude ratios of reflected waves are obtained. Graphs of plane wave speeds and amplitude ratios versus propagation angle are shown for various values of the rotation parameter.
引用
收藏
页码:791 / 803
页数:13
相关论文
共 12 条
[1]   On the bending of microstretch elastic plates [J].
Ciarletta, M .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1999, 37 (10) :1309-1318
[2]   THEORY OF THERMO-MICROSTRETCH ELASTIC SOLIDS [J].
ERINGEN, AC .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1990, 28 (12) :1291-1301
[3]  
ERINGEN AC, 1966, J MATH MECH, V16, P1
[4]   ON THE EQUILIBRIUM-THEORY OF MICROSTRETCH ELASTIC SOLIDS [J].
IESAN, D ;
POMPEI, A .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1995, 33 (03) :399-410
[5]   On the identification of microstretch elastic moduli of materials by using vibration data of plates [J].
Kiris, A. ;
Inan, E. .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2008, 46 (06) :585-597
[6]   Plane strain problem in microstretch elastic solid [J].
Kumar, R ;
Singh, R ;
Chadha, TK .
SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 2003, 28 (6) :975-990
[7]   A domain of influence theorem for microstretch elastic materials [J].
Marin, Marin .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (05) :3446-3452
[8]   ON THE SURFACE-WAVES IN AN ELASTIC MICROPOLAR AND MICROSTRETCH MEDIUM WITH NONLOCAL COHESION [J].
NOWINSKI, JL .
ACTA MECHANICA, 1993, 96 (1-4) :97-108
[9]   Propagation of Rayleigh surface waves in microstretch thermoelastic continua under inviscid fluid loadings [J].
Sharma, J. N. ;
Kumar, Satish ;
Sharma, Y. D. .
JOURNAL OF THERMAL STRESSES, 2008, 31 (01) :18-39
[10]   Plane waves and fundamental solution in an electro-microstretch elastic solids [J].
Sharma S. ;
Sharma K. ;
Bhargava R.R. .
Afrika Matematika, 2014, 25 (2) :483-497