Reflection and transmission of elastic waves at an interface between two micropolar piezoelectric half-spaces

被引:20
作者
Singh, Baljeet [1 ]
Sangwan, Asha [2 ]
Singh, Jagdish [3 ]
机构
[1] Post Grad Govt Coll, Dept Math, Sect 11, Chandigarh 160011, India
[2] Govt Coll, Dept Math, Rohtak 124001, Haryana, India
[3] Maharshi Dayanand Univ, Dept Math, Rohtak 124001, Haryana, India
关键词
Plane waves; Micropolar piezoelectricity; Reflection and transmission; Amplitude ratios; Energy ratios; PIEZO-THERMOELASTIC MEDIUM; ROTATING MEDIUM; MAGNETIC-FIELD; ACOUSTIC-WAVES; LINEAR-THEORY; PLANE-WAVES; PROPAGATION; REFRACTION; UNIQUENESS; RESONANCE;
D O I
10.1016/j.joes.2019.04.006
中图分类号
U6 [水路运输]; P75 [海洋工程];
学科分类号
0814 ; 081505 ; 0824 ; 082401 ;
摘要
In the present paper, we consider a problem of reflection and transmission of plane waves at an interface between two different transversely isotropic micropolar piezoelectric half-spaces. The plane wave solution of governing equations for micropolar piezoelectric medium indicates the propagation of three coupled plane waves. An incident plane wave at an interface between two dissimilar half-spaces generates three reflected and three transmitted waves. The relations between amplitude ratios of reflected and transmitted waves are derived which, in general, depend on material parameters and angle of incidence. The explicit expressions for energy ratios of reflected and transmitted waves are also obtained. For relevant material parameters, the results are illustrated graphically to show the micropolar piezoelectric effects on variations of amplitude ratios and the square root of energy ratios against the angle of incidence. (C) 2019 Shanghai Jiaotong University. Published by Elsevier B.V.
引用
收藏
页码:227 / 237
页数:11
相关论文
共 48 条
[1]   The reflection phenomena of quasi-vertical transverse waves in piezoelectric medium under initial stresses [J].
Abd-alla, Abo-el-nour N. ;
Al-sheikh, Fatimah A. ;
Al-Hossain, Abdullah Y. .
MECCANICA, 2012, 47 (03) :731-744
[2]   Reflection and refraction of plane quasi-longitudinal waves at an interface of two piezoelectric media under initial stresses [J].
Abd-alla, Abo-el-nour N. ;
Alsheikh, Fatimah A. .
ARCHIVE OF APPLIED MECHANICS, 2009, 79 (09) :843-857
[3]  
Achenbach JD, 1973, Wave Propagation in Elastic Solids
[4]   THE PHASE-SHIFT FOR REFLECTION OF ELASTIC-WAVES IN HEXAGONAL PIEZOELECTRIC-CRYSTALS [J].
ALSHITS, VI ;
LOTHE, J ;
LYUBIMOV, VN .
WAVE MOTION, 1984, 6 (03) :259-264
[5]   RESONANCE REFLECTION AND TRANSMISSION OF SHEAR ELASTIC-WAVES IN MULTILAYERED PIEZOELECTRIC STRUCTURES [J].
ALSHITS, VI ;
SHUVALOV, AL .
JOURNAL OF APPLIED PHYSICS, 1995, 77 (06) :2659-2665
[6]  
[Anonymous], 1968, Fracture
[7]  
[Anonymous], 1988, ARTECH HOUSE ACOUSTI
[8]   Aspects of uniqueness in micropolar piezoelectric bodies [J].
Aouadi, Moncef .
MATHEMATICS AND MECHANICS OF SOLIDS, 2008, 13 (06) :499-512
[9]  
Auld B. A., 1990, Acoustic Fields and Waves in Solids
[10]   WAVE-PROPAGATION AND RESONANCE IN PIEZOELECTRIC MATERIALS [J].
AULD, BA .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1981, 70 (06) :1577-1585