메뉴 건너뛰기




Volumn 466, Issue 2114, 2010, Pages 439-458

Strong ellipticity and progressive waves in elastic materials with voids

Author keywords

Elastic materials with voids; Progressive waves; Strong ellipticity; Thermoelastic materials with voids

Indexed keywords

CONSTRUCTION INDUSTRY; POROUS MATERIALS; THERMOELASTICITY;

EID: 76049114719     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2009.0360     Document Type: Article
Times cited : (39)

References (50)
  • 1
    • 34548649966 scopus 로고    scopus 로고
    • Series: Series in Materials Science and Engineering. Philadelphia, PA: CRC Press Taylor & Francis Group
    • Bunsell, A. R. & Renard, J. 2005 Fundamentals of fibre reinforced composite materials. Series: Series in Materials Science and Engineering, vol.13. Philadelphia, PA: CRC Press Taylor & Francis Group.
    • (2005) Fundamentals of Fibre Reinforced Composite Materials , vol.13
    • Bunsell, A.R.1    Renard, J.2
  • 2
    • 22944468148 scopus 로고    scopus 로고
    • Exponential decay in one-dimensional porous-thermo-elasticity
    • DOI 10.1016/j.mechrescom.2005.02.015, PII S0093641305000352
    • Casas, P. S. & Quintanilla, R. 2005 Exponential decay in one-dimensional porous thermoelasticity. Mech. Res. Commun. 32, 652-658. (doi:10.1016/j.mechrescom.2005.02.015) (Pubitemid 41042533)
    • (2005) Mechanics Research Communications , vol.32 , Issue.6 , pp. 652-658
    • Casas, P.S.1    Quintanilla, R.2
  • 3
    • 34547817373 scopus 로고    scopus 로고
    • On the strong ellipticity condition for transversely isotropic linearly elastic solids
    • Chiriţ'ǎ, S. 2006 On the strong ellipticity condition for transversely isotropic linearly elastic solids. An. St. Univ. Iasi, Matematica f.2 52, 113-118.
    • (2006) An. St. Univ. Iasi, Matematica f.2 , vol.52 , pp. 113-118
    • Chiriţ'ǎ, S.1
  • 4
    • 33750496036 scopus 로고    scopus 로고
    • Spatial estimates for the constrained anisotropic elastic cylinder
    • DOI 10.1007/s10659-006-9081-1
    • Chiri̧tǎ, S. & Ciarletta, M. 2006 Spatial estimates for the constrained anisotropic elastic cylinder. J. Elast. 85, 189-213. (doi:10.1007/s10659-006-9081-1) (Pubitemid 44662420)
    • (2006) Journal of Elasticity , vol.85 , Issue.3 , pp. 189-213
    • Chirita, S.1    Ciarletta, M.2
  • 5
    • 37049010529 scopus 로고    scopus 로고
    • On the structural stability of thermoelastic model of porous media
    • DOI 10.1002/mma.894
    • Chiri̧tǎ, S. & Ciarletta, M. 2008 On the structural stability of thermoelastic model of porous media. Math. Meth. Appl. Sci. 31, 19-34. (doi:10.1002/mma.894) (Pubitemid 350250577)
    • (2008) Mathematical Methods in the Applied Sciences , vol.31 , Issue.1 , pp. 19-34
    • Chirita, S.1    Ciarletta, M.2
  • 6
    • 46149127072 scopus 로고    scopus 로고
    • Strong ellipticity for tetragonal system in linearly elastic solids
    • doi:10.1016/j.ijsolstr.2008.04.022
    • Chiri̧tǎ, S. & Danescu, A. 2008 Strong ellipticity for tetragonal system in linearly elastic solids. Int. J. Solids Struct. 45, 4850-4859. (doi:10.1016/j.ijsolstr.2008.04.022)
    • (2008) Int. J. Solids Struct. , vol.45 , pp. 4850-4859
    • Chiri̧tǎ, S.1    Danescu, A.2
  • 7
    • 33847287361 scopus 로고    scopus 로고
    • On the strong ellipticity of the anisotropic linearly elastic materials
    • DOI 10.1007/s10659-006-9096-7
    • Chiri̧tǎ, S., Danescu, A. & Ciarletta, M. 2007 On the strong ellipticity of the anisotropic linearly elastic materials. J. Elast. 87, 1-27. (doi:10.1007/S10659-006-9096-7) (Pubitemid 46327382)
    • (2007) Journal of Elasticity , vol.87 , Issue.1 , pp. 1-27
    • Chirita, S.1    Danescu, A.2    Ciarletta, M.3
  • 8
    • 18144400068 scopus 로고    scopus 로고
    • Heat conduction paradox involving second sound propagation in moving media
    • doi:10.1103/PhysRevLett.94.154301
    • Christov, C. I. & Jordan, P. M. 2005 Heat conduction paradox involving second sound propagation in moving media. Phys. Rev. Lett. 94, 154301-1-154301-154304 (doi:10.1103/PhysRevLett.94.154301)
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 1543011-1543014
    • Christov, C.I.1    Jordan, P.M.2
  • 9
    • 33645918594 scopus 로고    scopus 로고
    • Nonlinear acoustic propagation in homentropic perfect gases: A numerical study
    • doi:10.1016/j.physleta.2005.12.101
    • Christov, I., Jordan, P. M. & Christov, C. I. 2006 Nonlinear acoustic propagation in homentropic perfect gases: A numerical study. Phys. Lett. A 353, 273-280. (doi:10.1016/j.physleta.2005.12.101)
    • (2006) Phys. Lett. A , vol.353 , pp. 273-280
    • Christov, I.1    Jordan, P.M.2    Christov, C.I.3
  • 10
    • 0003499267 scopus 로고
    • New York, NY, Harlow, Essex, UK: Longman Scientific and Technical, John Wiley & Sons, Inc
    • Ciarletta, M. & Ieşan, D. 1993 Non-classical elastic solids. New York, NY, Harlow, Essex, UK: Longman Scientific and Technical, John Wiley & Sons, Inc.
    • (1993) Non-classical Elastic Solids
    • Ciarletta, M.1    Ieşan, D.2
  • 12
    • 34547891069 scopus 로고    scopus 로고
    • Poroacoustic acceleration waves with second sound
    • DOI 10.1016/j.jsv.2007.06.015, PII S0022460X0700449X
    • Ciarletta, M. & Straughan, B. 2007a Poroacoustic acceleration waves with second sound. J. Sound Vibr. 306, 725-731. (doi:10.1016/j.jsv.2007.06.015) (Pubitemid 47259116)
    • (2007) Journal of Sound and Vibration , vol.306 , Issue.3-5 , pp. 725-731
    • Ciarletta, M.1    Straughan, B.2
  • 13
    • 34248200381 scopus 로고    scopus 로고
    • Thermo-poroacoustic acceleration waves in elastic materials with voids
    • doi:10.1016/j.jmaa.2006.09.014
    • Ciarletta, M. & Straughan, B. 2007b Thermo-poroacoustic acceleration waves in elastic materials with voids. J. Math. Anal. Appl. 333, 142-150. (doi:10.1016/j.jmaa.2006.09.014)
    • (2007) J. Math. Anal. Appl. , vol.333 , pp. 142-150
    • Ciarletta, M.1    Straughan, B.2
  • 14
    • 34547685637 scopus 로고    scopus 로고
    • Thermo-poroacoustic acceleration waves in elastic materials with voids without energy dissipation
    • DOI 10.1016/j.ijengsci.2007.05.001, PII S0020722507000468
    • Ciarletta, M., Straughan, B. & Zampoli, V. 2007 Thermo-poroacoustic acceleration waves in elastic materials with voids without energy dissipation. Int. J. Eng. Sci. 45, 736-743. (doi:10.1016/j.ijengsci.2007.05.001) (Pubitemid 47210985)
    • (2007) International Journal of Engineering Science , vol.45 , Issue.9 , pp. 736-743
    • Ciarletta, M.1    Straughan, B.2    Zampoli, V.3
  • 15
    • 0020764078 scopus 로고
    • Linear elastic materials with voids
    • doi:10.1007/BF00041230
    • Cowin, S. C. & Nunziato, J. W. 1983 Linear elastic materials with voids. J. Elast. 13, 125-147. (doi:10.1007/BF00041230)
    • (1983) J. Elast. , vol.13 , pp. 125-147
    • Cowin, S.C.1    Nunziato, J.W.2
  • 16
    • 4944267168 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for strong ellipticity of isotropic functions in any dimension
    • Dacorogna, B. 2001 Necessary and sufficient conditions for strong ellipticity of isotropic functions in any dimension. Dyn. Syst. Ser. B 1, 257-263.
    • (2001) Dyn. Syst. Ser. B , vol.1 , pp. 257-263
    • Dacorogna, B.1
  • 18
    • 2942724172 scopus 로고    scopus 로고
    • The dependence of transversely isotropic elasticity of human femoral cortical bone on porosity
    • DOI 10.1016/j.jbiomech.2003.12.011, PII S0021929003004743
    • Dong, X. N. & Guo, X. E. 2004 The dependence of transversely isotropic elasticity of human femoral cortical bone on porosity. J. Biomech. 37, 1281-1287. (doi:10.1016/j.jbiomech.2003.12.011) (Pubitemid 38798383)
    • (2004) Journal of Biomechanics , vol.37 , Issue.8 , pp. 1281-1287
    • Dong, X.N.1    Guo, X.E.2
  • 20
    • 50549084092 scopus 로고    scopus 로고
    • Semi-inverse solution for Saint-Venant's problem in the theory of porous elastic materials
    • doi:10.1016/j.euromechsol.2007.12.008
    • Ghiba, I. D. 2008a Semi-inverse solution for Saint-Venant's problem in the theory of porous elastic materials. Eur. J. Mech. A/Solids 27, 1060-1074. (doi:10.1016/j.euromechsol.2007.12.008)
    • (2008) Eur. J. Mech. A/Solids , vol.27 , pp. 1060-1074
    • Ghiba, I.D.1
  • 21
    • 47349090632 scopus 로고    scopus 로고
    • Spatial estimates concerning the harmonic vibrations in rectangular plates with voids
    • Ghiba, I. D. 2008b Spatial estimates concerning the harmonic vibrations in rectangular plates with voids. Arch. Mech. 60, 263-279.
    • (2008) Arch. Mech. , vol.60 , pp. 263-279
    • Ghiba, I.D.1
  • 22
    • 72349093585 scopus 로고    scopus 로고
    • Experimental determination of elastic coefficients of dry bovine bone
    • Goldmann, T., Seiner, H. & Landa, M. 2005 Experimental determination of elastic coefficients of dry bovine bone. Bull. Appl. Mech. 1, 262-275.
    • (2005) Bull. Appl. Mech. , vol.1 , pp. 262-275
    • Goldmann, T.1    Seiner, H.2    Landa, M.3
  • 23
    • 0000777660 scopus 로고
    • A continuum theory for granular materials
    • doi:10.1007/BF00284326
    • Goodman, M. A. & Cowin, S. C. 1972 A continuum theory for granular materials. Arch. Ration. Mech. Anal. 44, 249-266. (doi:10.1007/BF00284326)
    • (1972) Arch. Ration. Mech. Anal. , vol.44 , pp. 249-266
    • Goodman, M.A.1    Cowin, S.C.2
  • 24
    • 0001476309 scopus 로고
    • The linear theory of elasticity
    • (ed C. Truesdell). New York, NY: Springer
    • Gurtin, M. E. 1972 The linear theory of elasticity. In Handbuch der physik (ed C. Truesdell) vol.VIa/2, pp. 1-292. New York, NY: Springer.
    • (1972) Handbuch der Physic , vol.6 , Issue.2 , pp. 1-292
    • Gurtin, M.E.1
  • 25
    • 65649110856 scopus 로고    scopus 로고
    • Conditions for strong ellipticity of anisotropic elastic materials
    • doi:10.1007/s10659-009-9205-5
    • Han, D., Dai, H. H. & Qi, L. 2009 Conditions for strong ellipticity of anisotropic elastic materials. J. Elast. 97, 1-13. (doi:10.1007/s10659-009- 9205-5)
    • (2009) J. Elast. , vol.97 , pp. 1-13
    • Han, D.1    Dai, H.H.2    Qi, L.3
  • 27
    • 0022733710 scopus 로고
    • A theory of thermoelastic materials with voids
    • doi:10.1007/BF01302942
    • Ieşan, D. 1986 A theory of thermoelastic materials with voids. Acta Mech. 60, 67-89. (doi:10.1007/BF01302942)
    • (1986) Acta Mech. , vol.60 , pp. 67-89
    • Ieşan, D.1
  • 30
    • 13444278585 scopus 로고    scopus 로고
    • A simple finite difference scheme for modeling the finite-time blow-up of acoustic acceleration waves
    • DOI 10.1016/j.jsv.2004.03.067, PII S0022460X04003621
    • Jordan, P. M. & Christov, C. I. 2005 A simple finite difference scheme for modelling the finitetime blow-up of acoustic acceleration waves. J. Sound Vibr. 281, 1207-1216. (doi:10.1016/j.jsv.2004.03.067) (Pubitemid 40206587)
    • (2005) Journal of Sound and Vibration , vol.281 , Issue.3-5 , pp. 1207-1216
    • Jordan, P.M.1    Christov, C.I.2
  • 31
    • 20444409691 scopus 로고    scopus 로고
    • Growth/decay of transverse acceleration waves in nonlinear elastic media
    • DOI 10.1016/j.physleta.2005.05.010, PII S0375960105006663
    • Jordan, P. M. & Puri, A. 2005 Growth/decay of transverse acceleration waves in nonlinear elastic media. Phys. Lett. A 341, 427-434. (doi:10.1016/j.physleta.2005.05.010) (Pubitemid 40799024)
    • (2005) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.341 , Issue.5-6 , pp. 427-434
    • Jordan, P.M.1    Puri, A.2
  • 32
    • 33646469406 scopus 로고    scopus 로고
    • On the time decay of solutions in one-dimensional theories of porous materials
    • doi:10.1016/j.ijsolstr.2005.06.077
    • Magaña, A. & Quintanilla, R. 2006a On the time decay of solutions in one-dimensional theories of porous materials. Int. J. Solids Struct. 43, 3414-3427. (doi:10.1016/j.ijsolstr.2005.06.077)
    • (2006) Int. J. Solids Struct. , vol.43 , pp. 3414-3427
    • Magaña, A.1    Quintanilla, R.2
  • 33
    • 33745943820 scopus 로고    scopus 로고
    • On the spatial behavior of solutions for porous elastic solids with quasi-static microvoids
    • DOI 10.1016/j.mcm.2006.02.007, PII S0895717706000392
    • Magaña, A. & Quintanilla, R. 2006b On the spatial behaviour of solutions for porous elastic solids with quasi-static microvoids. Math. Comput. Model. 44, 710-716. (doi:10.1016/j.mcm.2006.02.007) (Pubitemid 44056200)
    • (2006) Mathematical and Computer Modelling , vol.44 , Issue.7-8 , pp. 710-716
    • Magana, A.1    Quintanilla, R.2
  • 34
    • 33947221544 scopus 로고    scopus 로고
    • On the time decay of solutions in porous elasticity with quasistatic microvoids
    • Magaña, A. & Quintanilla, R. 2007 On the time decay of solutions in porous elasticity with quasistatic microvoids. J. Math. Anal. Appl. 331, 613-630.
    • (2007) J. Math. Anal. Appl. , vol.331 , pp. 613-630
    • Magaña, A.1    Quintanilla, R.2
  • 35
    • 0041312550 scopus 로고    scopus 로고
    • Instabilities and loss of ellipticity in fiber-reinforced compressible non-linearly elastic solids under plane deformation
    • DOI 10.1016/S0020-7683(03)00309-3
    • Merodio, J. & Ogden, R. W. 2003a Instabilities and loss of ellipticity in fiber-reinforced compressible nonlinearly elastic solids under plane deformation. Int. J. Solids Struct. 40, 4707-4727. (doi:10.1016/S0020- 7683(03)00309-3) (Pubitemid 36901464)
    • (2003) International Journal of Solids and Structures , vol.40 , Issue.18 , pp. 4707-4727
    • Merodio, J.1    Ogden, R.W.2
  • 36
    • 0347316868 scopus 로고    scopus 로고
    • A note on strong ellipticity for transversely isotropic linearly elastic solids
    • doi:10.1093/qjmam/56.4.589
    • Merodio, J. & Ogden, R. W. 2003b A note on strong ellipticity for transversely isotropic linearly elastic solids. Q. J. Mech. Appl. Math. 56 589-591. (doi:10.1093/qjmam/56.4.589)
    • (2003) Q. J. Mech. Appl. Math. , vol.56 , pp. 589-591
    • Merodio, J.1    Ogden, R.W.2
  • 37
    • 0018727139 scopus 로고
    • A nonlinear theory of elastic materials with voids
    • doi:10.1007/BF00249363
    • Nunziato, J. W. & Cowin, S. C. 1979 A nonlinear theory of elastic materials with voids. Arch. Ration. Mech. Anal. 72, 175-201. (doi:10.1007/BF00249363)
    • (1979) Arch. Ration. Mech. Anal. , vol.72 , pp. 175-201
    • Nunziato, J.W.1    Cowin, S.C.2
  • 38
    • 0018108221 scopus 로고
    • BEHAVIOR OF ONE-DIMENSIONAL ACCELERATION WAVES IN AN INHOMOGENEOUS GRANULAR SOLID.
    • DOI 10.1016/0020-7225(78)90041-1
    • Nunziato, J. W., Kennedy, J. E. & Walsh, E. K. 1978 The behavior of one-dimensional acceleration waves in an inhomogeneous granular solid. Int. J. Eng. Sci. 16, 637-648. (doi:10.1016/0020-7225(78)90041-1) (Pubitemid 9404976)
    • (1978) International Journal of Engineering Science , vol.16 , Issue.9 , pp. 637-648
    • Nunziato Jace, W.1    Kennedy James, E.2    Walsh Edward, K.3
  • 39
    • 0017415704 scopus 로고
    • On the influence of void compaction and material nonuniformity on the propagation of one-dimensional acceleration waves in granular materials
    • doi:10.1007/BF00282342
    • Nunziato, J. W. & Walsh, E. K. 1977 On the influence of void compaction and material nonuniformity on the propagation of one-dimensional acceleration waves in granular materials. Arch. Ration. Mech. Anal. 64, 299-316. (doi:10.1007/BF00282342)
    • (1977) Arch. Ration. Mech. Anal. , vol.64 , pp. 299-316
    • Nunziato, J.W.1    Walsh, E.K.2
  • 40
    • 34248191677 scopus 로고
    • Addendum 'On the influence of void compaction and material non-uniformity on the propagation of one-dimensional acceleration waves in granular materials'
    • doi:10.1007/BF00247666
    • Nunziato, J. W. &Walsh, E. K. 1978 Addendum 'On the influence of void compaction and material non-uniformity on the propagation of one-dimensional acceleration waves in granular materials'. Arch. Ration. Mech. Anal. 67, 395-398. (doi:10.1007/BF00247666)
    • (1978) Arch. Ration. Mech. Anal. , vol.67 , pp. 395-398
    • Nunziato, J.W.1    Walsh, E.K.2
  • 41
    • 0001405186 scopus 로고    scopus 로고
    • On the growth and decay of acceleration waves in random media
    • doi:10.1098/rspa.1999.0418
    • Ostoja-Starzewski, M. & Trebicki, J. 1999 On the growth and decay of acceleration waves in random media. Proc. R. Soc. Lond. A 455, 2577-2614. (doi:10.1098/rspa.1999.0418)
    • (1999) Proc. R. Soc. Lond. A , vol.455 , pp. 2577-2614
    • Ostoja-Starzewski, M.1    Trebicki, J.2
  • 42
    • 0036902948 scopus 로고    scopus 로고
    • Strong ellipticity of transversely isotropic elasticity tensors
    • doi:10.1023/A:1020946506754
    • Padovani, C. 2002 Strong ellipticity of transversely isotropic elasticity tensors. Meccanica 37, 515-525. (doi:10.1023/A:1020946506754)
    • (2002) Meccanica , vol.37 , pp. 515-525
    • Padovani, C.1
  • 45
    • 0035366446 scopus 로고    scopus 로고
    • On uniqueness and continuous dependence in the nonlinear theory of mixtures of elastic solids with voids
    • doi:10.1177/108128650100600305
    • Quintanilla, R. 2001 On uniqueness and continuous dependence in the nonlinear theory of mixtures of elastic solids with voids. Math. Mech. Solids 6, 281-298. (doi:10.1177/108128650100600305)
    • (2001) Math. Mech. Solids , vol.6 , pp. 281-298
    • Quintanilla, R.1
  • 47
    • 0020905805 scopus 로고
    • On copositive matrices and strong ellipticity for isotropic elastic materials
    • doi:10.1007/BF00251549
    • Simpson, H. C. & Spector, S. J. 1983 On copositive matrices and strong ellipticity for isotropic elastic materials. Arch. Ration. Mech. Anal. 84, 55-68. (doi:10.1007/BF00251549)
    • (1983) Arch. Ration. Mech. Anal. , vol.84 , pp. 55-68
    • Simpson, H.C.1    Spector, S.J.2
  • 50
    • 0004259597 scopus 로고    scopus 로고
    • 2nd edn. Philadelphia, PA: Taylor & Francis, Inc
    • Wyllie, D. C. 1999 Foundations on rock 2nd edn. Philadelphia, PA: Taylor & Francis, Inc.
    • (1999) Foundations on Rock
    • Wyllie, D.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.