Rayleigh surface waves problem in linear thermoviscoelasticity with voids

详细信息    查看全文

• 作者：Andreea Bucur
• 刊名：Acta Mechanica
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：227
• 期：4
• 页码：1199-1212
• 全文大小：1,739 KB
• 参考文献：1.Ieşan D.: On a theory of thermoviscoelastic materials with voids. J. Elast. 104, 369–384 (2011)MathSciNet CrossRef MATH
  2.Cowin S.C., Nunziato J.W.: Linear theory of elastic materials with voids. J. Elast. 13, 125–147 (1983)CrossRef MATH
  3.Ieşan D.: A theory of thermoelastic materials with voids. Acta Mech. 60, 67–89 (1986)CrossRef
  4.Chiriţă S.: On the spatial behavior of the steady-state vibrations in the thermoviscoelastic porous materials. J. Therm. Stress. 38(1), 96–109 (2015)CrossRef
  5.Chiriţă S., Danescu A.: Surface waves problem in a thermoviscoelastic porous half-space. Wave Motion 54, 100–114 (2015)MathSciNet CrossRef
  6.Quintanilla R., Rivera J.E.M., Pamplona P.X.: On uniqueness and analyticity in thermoviscoelastic solids with voids. J. Appl. Anal. Comput. 1, 251–266 (2011)MathSciNet MATH
  7.Bucur A.: Spatial behavior in linear theory of thermoviscoelasticity with voids. J. Therm. Stress. 38(2), 229–249 (2015)CrossRef
  8.Bucur A.: On spatial behavior of the solution of a non-standard problem in linear thermoviscoelasticity with voids. Arch. Mech. 67(4), 1–20 (2015)MathSciNet MATH
  9.Svanadze M.M.: Potential method in the linear theory of viscoelastic materials with voids. J. Elast. 114, 101–126 (2014)MathSciNet CrossRef MATH
  10.Tomar S.K., Bhagwan J., Steeb H.: Time harmonic waves in a thermoviscoelastic material with voids. J. Vibr. Control 20, 1119–1136 (2014)MathSciNet CrossRef
  11.Sharma K., Kumar P.: Propagation of plane waves and fundamental solution in thermoviscoelastic medium with voids. J. Therm. Stress. 36(2), 94–111 (2013)MathSciNet CrossRef
  12.Rayleigh L.: On waves propagating along the plane surface of an elastic solid. Int. J. Eng. Sci. 25(2), 205–211 (1987)CrossRef
  13.Destrade M.: Seismic Rayleigh waves on an exponentially graded, orthotropic half-space. Proc. R. Soc. A 463, 495–502 (2007)MathSciNet CrossRef MATH
  14.Bucur A.V., Passarella F., Tibullo V.: Rayleigh surface waves in the theory of thermoelastic materials with voids. Meccanica 49(9), 2069–2078 (2014)MathSciNet CrossRef MATH
  15.Chiriţă S., Ciarletta M., Tibullo V.: Rayleigh surface waves on a Kelvin-Voigt viscoelastic half-space. J. Elast. 115, 61–76 (2014)MathSciNet CrossRef MATH
  16.Chiriţă S.: On the Rayleigh surface waves on an anisotropic homogeneous thermoelastic half-space. Acta Mech. 224, 657–674 (2013)MathSciNet CrossRef MATH
  17.Chiriţă S.: Rayleigh waves on an exponentially graded poroelastic half space. J. Elast. 110, 185–199 (2013)MathSciNet CrossRef MATH
  18.Chiriţă S., Ghiba I.D.: Inhomogeneous plane waves in elastic materials with voids. Wave Motion 47, 333–342 (2010)MathSciNet CrossRef MATH
  19.Ciarletta M., Svanadze M., Buonanno L.: Plane waves and vibrations in the theory of micropolar thermoelasticity for materials with voids. Eur. J. Mech. A Solids 28, 897–903 (2009)MathSciNet CrossRef MATH
  20.Ting T.C.T.: Surface waves in an exponentially graded, general anisotropic elastic material under the influence of gravity. Wave Motion 48, 335–344 (2011)MathSciNet CrossRef MATH
  21.Ting T.C.T.: Secular equations for Rayleigh and Stoneley waves in exponentially graded elastic materials of general anisotropy under the influence of gravity. J. Elast. 105, 331–347 (2011)MathSciNet CrossRef MATH
  
• 作者单位：Andreea Bucur (1)
  
  1. Faculty of Mathematics, Al. I. Cuza University of Iaşi, Blvd. Carol I. No. 11, 700506, Iasi, Romania
  
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Mechanics, Fluids and Thermodynamics
  Continuum Mechanics and Mechanics of Materials
  Structural Mechanics
  Vibration, Dynamical Systems and Control
  Engineering Thermodynamics and Transport Phenomena
  
• 出版者：Springer Wien
• ISSN：1619-6937

文摘

In this paper, we study the propagation of the Rayleigh surface waves in a half-space filled by an exponentially functionally graded thermoviscoelastic material with voids. We take into consideration the dissipative character of the porous thermoviscoelastic models upon the propagation waves and study the damped in time wave solutions. The propagation condition is established in the form of an algebraic equation of tenth degree whose coefficients are complex numbers. The eigensolutions of the dynamical system are explicitly obtained in terms of the characteristic solutions. The concerned solution of the Rayleigh surface wave problem is expressed as a linear combination of the five analytical solutions, while the secular equation is established in an implicit form. The explicit secular equation is obtained for an isotropic and homogeneous thermoviscoelastic porous half-space, and some numerical simulations are given for a specific material.