The main scope of this paper is to present in a simple and concise way a mathematical model of composite materials able to describe the propagation of shear horizontal waves in the case where composite is rotating and subjected to an initial stress. This work is aimed at the relevant possibility to apply the obtained results for the establishment of high-achievement applications of piezoelectric and semiconductor composites and surface acoustic waves devices. We conclude by analyzing numerical computations in which the influence of the rotation, initial stress and electromagnetic boundary conditions are graphically observed.
VashishthAKDahiyaA. Shear waves in a piezoceramic layered structure. Acta Mech2013; 224: 727-744.
4.
Abd-AllaANMauginGA. Linear and nonlinear surface waves on magnetostrictive substrates. Eur J Mech A Solids1990; 9: 313–340.
5.
WangLRokhlinSI. Recursive asymptotic stiffness matrix method for analysis of surface acoustic wave devices on layered piezoelectric media. Appl Phys Lett2002; 81: 4049–4051.
6.
QianZHJinFWangZKet al. Dispersion relations for SH-wave propagation in periodic piezoelectric composite layered structures. Int J Eng Sci2004; 42: 673–689.
7.
MonsivaisGOteroJACalásH. Surface and shear horizontal waves in piezoelectric composites. Phys Rev B2005; 71: 064101.
8.
GuoYQChenWQ. On free wave propagation in anisotropic layered media. Acta Mech Solida Sin2008; 21: 500–506.
9.
ShiPChenCQZouWN. Propagation of shear elastic and electromagnetic waves in one dimensional piezoelectric and piezomagnetic composites. Ultrasonics2015; 55: 42–47.
10.
YangJSZhouHG. Amplification of acoustic waves in piezoelectric semiconductor plates. Int J Solids Struct2005; 42: 3171–3183.
11.
GuCJinF. Shear-horizontal surface waves in a half-space of piezoelectric semiconductors. Philos Mag Lett2015; 95: 92–100.
12.
QianZJinFKishimotoKet al. Effect of initial stress on the propagation behavior of SH-waves in multilayered piezoelectric composite structures. Sensor Actuat A Phys2004; 112: 368–375.
13.
SinhaBKTanskiWJLukaszekTet al. Influence of biasing stresses on the propagation of surface waves. J Appl Phys1985; 57: 767–776.
14.
DowaikhMA. On SH waves in pre-stressed layered half space for an incompressible elastic material. Mech Res Commun1999; 26: 665–672.
15.
LiuHWangZKWangTJ. Effect of initial stress on the propagation behavior of Love waves in a layered piezoelectric structure. Int J Solids Struct2002; 38: 37–51.
16.
ZhaoXQianZHZhangSet al. Effect of initial stress on propagation behaviors of shear horizontal waves in piezoelectric/piezomagnetic layered cylinders. Ultrasonics2015; 63: 47-53.
17.
AbbasIAOthmanMIA. Generalized thermoelastic interaction in a fiber-reinforced anisotropic half-space under hydrostatic initial stress. J Vib Contr2012; 18: 175–182.
18.
Abd-allaANAl-shaikhF. Reflection and refraction of plane quasi-longitudinal waves at an interface of two piezoelectric media under initial stresses. Arch Appl Mech2009; 79: 843-857.
19.
AlshaikhFAAbd-AllaAN. Mathematical modeling for the influence of initial stress on the reflection of plane waves at thermo-piezoelectric medium. Int J Math Model Meth Appl Sci2014; 8: 84-90.
20.
OthmanMIAHasonaWMAbd-ElazizEM. The effect of rotation on the problem of fiber-reinforced under generalized magneto-thermoelasticity subject to thermal loading due to laser pulse comparison of different theories. Can J Phys2014; 92: 1002–1015.
21.
OthmanMIAAbbasIA. Effect of rotation on plane waves in generalized thermo-microstretch elastic solid comparison of different theories using finite element method. Can J Phys2014; 92: 1269–1277.
22.
OthmanMIAHasonaWMAbd-ElazizEM. Effect of rotation and initial stress on generalized micropolar thermoelastic medium with three-phase-lag. J Comput Theor Nanosci2015; 12: 2030–2040.
23.
Abd-allaANAskerN. Numerical simulations for the phase velocities and the electromechanical coupling factor of the Bleustein-Gulyaev waves in some piezoelectric smart materials. Math & Mech of Solids2016; 21: 539–551.
24.
BleusteinJL. A new surface wave in piezoelectric materials. Appl Phys Lett1968; 13: 412–413.
Della CorteABattistaAdell’IsolaF. Referential description of the evolution of a 2D swarm of robots interacting with the closer neighbors: perspectives of continuum modeling via higher gradient continua. Int J Non-Linear Mech2016; 80: 209–220.
27.
PlacidiL. A variational approach for a nonlinear 1-dimensional second gradient continuum damage model. Continuum Mech Thermodyn2015; 27: 623-638.
28.
CarcaterraAdell’IsolaFEspositoRet al. Macroscopic description of macroscopally strongly inhomogeneus systems: a mathematical basis for the synthesis of higher gradient metamaterials. Arch Rational Mech Anal2015; 218: 1239–1262.
29.
dell’IsolaFSeppecherPDella CorteA. The postulations à la D’Alembert and à la Cauchy for higher gradient continuum theories are equivalent: a review of existing results. Proc R Soc A Math Phys Eng Sci2015; 471. 20150415pp.
30.
AltenbachHEremeyevVALebedevLPet al. Acceleration waves and ellipticity in thermoelastic micropolar media. Arch Appl Mech2010; 80: 217–227.
31.
EremeyevVAIvanovaEAMorozovNF. On free oscillations of an elastic solids with ordered arrays of nano-sized objects. Continuum Mech Thermodyn2015; 27: 583-607.
32.
RosiGGiorgioIEremeyevVA. Propagation of linear compression waves through plane interfacial layers and mass adsorption in second gradient fluids. ZAMM2013; 93: 914-927.
33.
BerezovskiAGiorgioIDella CorteA. Interfaces in micromorphic materials: wave transmission and reflection with numerical simulations. Math Mech Solids2016; 21: 37-51.
34.
BilottaAFormicaGTurcoE. Performance of a high-continuity finite element in three-dimensional elasticity. Int J Numer Meth Biomed Eng2010; 26: 1155–1175.
35.
PlacidiLGiorgioIDella CorteAet al. Euromech 563 Cisterna di Latina 17–21 March 2014 Generalized continua and their applications to the design of composites and metamaterials: a review of presentations and discussions. Math Mech Solids2017; 22: 144–157.
36.
AminpourHRizziN. On the modelling of carbon nano tubes as generalized continua. Generalized continua as models for classical and advanced materials. Cham: Springer International Publishing, 2016, 15–35.
TurcoEDell’IsolaFRizziNLet al. Fiber rupture in sheared planar pantographic sheets: numerical and experimental evidence. Mech Res Commun2016; 76: 86-90.
39.
TurcoEDell’IsolaFRizziNLet al. Fiber rupture in sheared planar pantographic sheets: numerical and experimental evidence. Mech Res Commun2016; 76: 86-90.
40.
TurcoERizziNL. Pantographic structures presenting statistically distributed defects: numerical investigations of the effects on deformation fields. Mech Res Commun2016; 77: 65–69.
41.
GiorgioI. Numerical identification procedure between a micro-Cauchy model and a macro-second gradient model for planar pantographic structures. Zeitschrift für angewandte Mathematik und Physik2016; 67: 95.
42.
TurcoEBarczKPawlikowskiMet al. Non-standard coupled extensional and bending bias tests for planar pantographic lattices. Part I: numerical simulations. Zeitschrift für angewandte Mathematik und Physik2016; 67: 122.
43.
AndreausUdell’IsolaFGiorgioIet al. Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity. Int J Eng Sci2016; 108: 34-50.
44.
dell’IsolaFAndreausUPlacidiL. At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: an underestimated and still topical contribution of Gabrio Piola. Math Mech Solids2015; 20: 887-928.
45.
SpagnuoloMBarczKPfaffAet al. Qualitative pivot damage analysis in aluminum printed pantographic sheets: numerics and experiments. Mech Res Commun2017; 83: 47-52.
46.
CuomoMdell’IsolaFGrecoLet al. First versus second gradient energies for planar sheets with two families of inextensible fibres: Investigation on deformation boundary layers, discontinuities and geometrical instabilities. Composites Part B2017; 115: 423–448.
47.
BoutinCGiorgioIPlacidiL. Linear pantographic sheets: Asymptotic micro-macro models identification. Math Mech Complex Syst2017; 5: 127–162.
