Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Meccanica
Published in: Meccanica 3/2016

29-06-2015

Elastic waves in thermoelastic saturated porous medium

Authors: C. Zorammuana, S. S. Singh

Published in: Meccanica | Issue 3/2016

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The problem of reflection of elastic waves at a plane free boundary of thermoelastic saturated porous half space has been investigated. There exist four types of plane waves in thermoelastic saturated porous medium which are three attenuating coupled longitudinal waves and one non-attenuating transverse wave. The amplitude and energy ratios corresponding to the reflected waves due to incident longitudinal as well as transverse waves are derived and computed numerically. Critical angles are observed for the incident transverse wave.
previous article A micromechanical approach for the Cosserat modeling of composites
next article On the radially symmetric vibrations of circular sandwich plates with polar orthotropic facings and isotropic core of quadratically varying thickness by harmonic differential quadrature method

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
Appendix
Available only for authorised users
Literature
1.
Achenbach JD (1973) Wave propagation in elastic solids. North-Holland, AmsterdamMATH
2.
Bear J, Sorek S, Ben-Dor G, Mazor G (1992) Displacement waves in saturated thermoelastic porous media. I. Basic equations. Fluid Dyn Res 9:155–164CrossRefADS
3.
4.
Biot MA (1956) Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range. II. Higher frequency range. J Acoust Soc Am 28:168–191CrossRefADSMathSciNet
5.
6.
7.
8.
Chadwick P (1979) Basic properties of plane harmonic waves in a prestressed heat-conducting elastic material. J Therm Stress 2:193–214CrossRef
9.
Dai ZJ, Kuang ZB, Zhao SX (2006) Reflection and transmission of elastic waves from the interface of a fluid-saturated porous solid and a double porosity solid. Trans Porous Media 65:237–264CrossRefMathSciNet
10.
Dhaliwal RS, Sherief HH (1980) Generalized thermoelasticity for anisotropic media. Quart Appl Maths 38:1–8MathSciNetMATH
11.
12.
Gupta RR (2012) Reflection of plane waves in thermoelastic transversely isotropic half space. Int J Appl Math Mech 8:71–82
13.
Gurevich B, Kelder O, Smeulders DMJ (1999) Validation of the slow compressional wave in porous media: comparison of experiments and numerical simulations. Trans Porous Media 36:149–160CrossRef
14.
Haibing T, Ganbin L, Kanghe X, Rongyue Z, Yuebao D (2014) Characteristics of wave propagation in the saturated thermoelastic porous medium. Trans Porous media 103:47–68CrossRefMathSciNet
15.
Kumar R, Devi S (2011) Deformation in porous thermoelastic material with temperature dependent properties. Appl Math Inf Sci 5:132–147MathSciNetMATH
16.
Kumar R, Divya Kumar K (2011) Reflection and transmission in swelling porous media. Math Sci 5:211–234MathSciNetMATH
17.
Kumar R, Divya Kumar K (2013) Wave propagation in swelling porous thermoelastic half-space. Int J Appl Math Mech 9:1–30MATH
18.
Kumar R, Hundal BS (2007) Surface wave propagation in a fluid saturated incompressible porous half-space lying under two layers of different liquids. Earth Planets Space 59:929–936CrossRefADS
19.
Kumar R, Kumar S, Miglani A (2011) Reflection and transmission of plane waves between two different fluid-saturated porous half-spaces. J Appl Mech Tech Phys 52:773–782CrossRefADSMathSciNetMATH
20.
Levy A, Sorek S, Ben-Dor G, Bear J (1995) Evolution of the balance equations in saturated thermoelastic porous media following abrupt simultaneous changes in pressure and temperature. Trans Porous Media 21:241–268CrossRef
21.
Lord HW, Shulman Y (1967) A generalised dynamical theory of thermoelasticity. J Mech Phys Solids 15:299–309CrossRefADSMATH
22.
Markov MG (2005) Propagation of longitudinal elastic waves in a fluid-saturated porous medium with spherical inclusions. Acoust Phys 51:132–139CrossRefADS
23.
Markov MG (2009) Reflection of elastic waves at an interfaces between two porous half-spaces filled with different fluids. Phys Solid Earth 45:769–776CrossRef
24.
Norris A (1992) On the correspondence between poroelasticity and thermoelasticity. J Appl Phys 71:1138–1141CrossRefADS
25.
Pride SR, Berryman JG, Harris JM (2004) Seismic attenuation due to wave-induced flow. J Geophys Res 109:B01201ADS
26.
Sharma JN, Singh D, Kumar R (2000) Generalised thermoelastic waves in homogeneous isotropic plates. J Acoust Soc Am 108:948–951
27.
Sharma MD (2005) Anisotropic propagation of inhomogeneous waves in dissipative poroelastic solids. Geophys J Int 163:981–990CrossRefADS
28.
Sharma MD (2006) Wave propagation in anisotropic generalized thermoelastic media. J Therm Stress 29:629–642CrossRefADS
29.
Sharma MD (2007) Wave propagation in a general anisotropic poroelastic medium: Biot’s theories and homogenisation theory. J Earth Syst Sci 116:357–367CrossRefADS
30.
Sharma MD (2008) Wave propagation in thermoelastic saturated porous medium. J Earth Syst Sci 117:951–958CrossRefADS
31.
Silvin DB, Korneev VA, Goloshubin GM, Patzek TW (2006) Low-frequency asymptotic analysis of seismic reflection from a fluid-saturated medium. Trans Porous Media 62:283–305CrossRef
32.
Singh B (2003) Wave propagation in an anisotropic generalized thermoelastic solid. Indian J Pure Appl Math 34:1479–1485MATH
33.
34.
Singh SS (2011) Reflection and transmission of couple longitudinal waves at a plane interface between two dissimilar half-spaces of thermo-elastic materials with voids. Appl Math Comput 218:3359–3371CrossRefMathSciNetMATH
35.
Singh SS, Zorammuana C (2014) Incident longitudinal wave at a fibre-reinforced thermoelastic half-space. J Vib Control 20:1895–1906CrossRefMathSciNet
36.
Tajuddin M, Reddy GN (2005) Effect of boundaries on the dynamic interaction of a liquid-filled porous layer and a supporting continuum. Sadhana 30:527–535CrossRefMathSciNetMATH
37.
Tomar SK, Arora A (2006) Reflection and Transmission of elastic waves at an elastic/porous solid saturated by two immiscible fluids. Int J Solids Structs 43:1991–2013CrossRefMATH
Metadata
Title
Elastic waves in thermoelastic saturated porous medium
Authors
C. Zorammuana
S. S. Singh
Publication date
29-06-2015
Publisher
Springer Netherlands
Published in
Meccanica / Issue 3/2016
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-015-0225-x

Other articles of this Issue 3/2016

Meccanica 3/2016 Go to the issue

OriginalPaper

A two-step damage identification approach for beam structures based on wavelet transform and genetic algorithm

OriginalPaper

Reliability and sensitivity analysis of an axially moving beam

OriginalPaper

Three dimensional simulations for convection induced by the selective absorption of radiation for the Brinkman model

OriginalPaper

A three-dimensional mesh-free model for analyzing multi-phase flow in deforming porous media

OriginalPaper

On the behavior of rotating thick-walled cylinders made of hyperelastic materials

OriginalPaper

Geometrically nonlinear dynamic analysis of functionally graded thick hollow cylinders using total Lagrangian MLPG method

Premium Partners

    Image Credits