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Volumn 53, Issue 6, 2002, Pages 1110-1138

Wave motions in unbounded poroelastic solids infused with compressible fluids

Author keywords

Elastic waves; Principle of virtual power; Solid fluid mixtures

Indexed keywords


EID: 0036864325     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00012616     Document Type: Article
Times cited : (25)

References (38)
  • 2
    • 0016953740 scopus 로고
    • Continuum theories of mixtures: Basic theory and historical development
    • R.J. Atkin and R.E. Craine, Continuum Theories of Mixtures: Basic Theory and Historical Development. Quart. J. Mech. Appl. Math. 29 (1976), 209-244.
    • (1976) Quart. J. Mech. Appl. Math. , vol.29 , pp. 209-244
    • Atkin, R.J.1    Craine, R.E.2
  • 3
    • 36849137954 scopus 로고
    • Mechanics of deformation and acoustic propagation in porous media
    • M.A. Biot, Mechanics of deformation and acoustic propagation in porous media. J. Appl. Phys. 33 (1962), 1482-1498.
    • (1962) J. Appl. Phys. , vol.33 , Issue.2 , pp. 1482-1498
    • Biot, M.A.1
  • 4
    • 0029264393 scopus 로고
    • The thermodynamic structure of the two-component model porous incompressible materials with true mass densities
    • J. Bluhm, R. deBoer, and K. Wilmanski, The thermodynamic structure of the two-component model porous incompressible materials with true mass densities. Mech. Res. Comm. 22 (1995), 171-180.
    • (1995) Mech. Res. Comm. , vol.22 , pp. 171-180
    • Bluhm, J.1    DeBoer, R.2    Wilmanski, K.3
  • 5
    • 0002004386 scopus 로고
    • Theory of mixtures
    • A.C. Eringen, editor. Academic Press, New York
    • R.M. Bowen, Theory of Mixtures. In A.C. Eringen, editor, Continuum Physics, volume III, pages 1-127. Academic Press, New York 1976.
    • (1976) Continuum Physics , vol.3 , pp. 1-127
    • Bowen, R.M.1
  • 6
    • 0019148092 scopus 로고
    • Incompressible porous media models by use of the theory of mixtures
    • R.M. Bowen, Incompressible porous media models by use of the theory of mixtures. Int. J. Engng. Sci. 18 (1980), 1129-1148.
    • (1980) Int. J. Engng. Sci. , vol.18 , pp. 1129-1148
    • Bowen, R.M.1
  • 7
    • 0020006949 scopus 로고
    • Compressible porous media models by use of the theory of mixtures
    • R.M. Bowen, Compressible porous media models by use of the theory of mixtures. Int. J. Engng. Sci. 20 (1982), 697-735.
    • (1982) Int. J. Engng. Sci. , vol.20 , pp. 697-735
    • Bowen, R.M.1
  • 8
    • 0032983135 scopus 로고    scopus 로고
    • Bone poroelasticity
    • S.C. Cowin, Bone poroelasticity. J. Biomech. 32 (1999), 217-238.
    • (1999) J. Biomech. , vol.32 , pp. 217-238
    • Cowin, S.C.1
  • 9
    • 0001120205 scopus 로고    scopus 로고
    • Contemporary progress in porous media theory
    • R. deBoer, Contemporary progress in porous media theory. ASME Appl. Mech. Rev. 51 (2000), 323-370.
    • (2000) ASME Appl. Mech. Rev. , vol.51 , pp. 323-370
    • DeBoer, R.1
  • 11
    • 0001589523 scopus 로고    scopus 로고
    • A variational approach for the deformation of a saturated porous solid. A second gradient theory extending Terzaghi's effective stress principle
    • F. dell'Isola, M. Guarascio, and K. Hurter, A variational approach for the deformation of a saturated porous solid. A second gradient theory extending Terzaghi's effective stress principle. Arch. Appl. Mech. 70 (2000), 323-337.
    • (2000) Arch. Appl. Mech. , vol.70 , pp. 323-337
    • Dell'Isola, F.1    Guarascio, M.2    Hurter, K.3
  • 12
    • 0001853564 scopus 로고    scopus 로고
    • A non-standard format for continuum mechanics
    • R.C. Batra and M.F. Beatty, editors, CIMNE, Barcelona
    • A. DiCarlo, A Non-Standard Format for Continuum Mechanics. In R.C. Batra and M.F. Beatty, editors, Contemporary Research in the Mechanics and Mathematics of Materials, CIMNE, Barcelona, 1996, pp. 92-104.
    • (1996) Contemporary Research in the Mechanics and Mathematics of Materials , pp. 92-104
    • DiCarlo, A.1
  • 14
    • 23044532075 scopus 로고    scopus 로고
    • Asymptotic analysis of surface waves at vacuum/porous medium and liquid/porous medium interfaces
    • I. Edelman and K. Wilmanski, Asymptotic analysis of surface waves at vacuum/porous medium and liquid/porous medium interfaces. Continuum Mech. Therm. 14 (2002), 25-44.
    • (2002) Continuum Mech. Therm. , vol.14 , pp. 25-44
    • Edelman, I.1    Wilmanski, K.2
  • 15
    • 0034790874 scopus 로고    scopus 로고
    • A linear viscoelastic biphasic model for soft tissues based on the theory of porous media
    • W. Ehlers and B. Markert, A linear viscoelastic biphasic model for soft tissues based on the theory of porous media. ASME J. Biomech. Eng. 123 (2001), 418-424.
    • (2001) ASME J. Biomech. Eng. , vol.123 , pp. 418-424
    • Ehlers, W.1    Markert, B.2
  • 16
    • 0000122393 scopus 로고
    • La méthode des puissances virtuelles en mécanique des milieux continus. Première partie: Théorie du second gradient
    • P. Germain, La méthode des puissances virtuelles en mécanique des milieux continus. Première partie: Théorie du second gradient. Journal de Mécanique 12 (1972), 235-264.
    • (1972) Journal de Mécanique , vol.12 , pp. 235-264
    • Germain, P.1
  • 17
    • 0000141747 scopus 로고
    • The method of virtual power in Continuum Mechanics. Part II: Microstructure
    • P. Germain, The method of virtual power in Continuum Mechanics. Part II: Microstructure. SIAM J. Appl. Math 25 (1973), 556-575.
    • (1973) SIAM J. Appl. Math , vol.25 , pp. 556-575
    • Germain, P.1
  • 19
    • 0036013702 scopus 로고    scopus 로고
    • A constrained mixture model for growth and remodelling of soft tissues
    • J.D. Humphrey and K.R. Rajagopal, A constrained mixture model for growth and remodelling of soft tissues. Math. Models Meth. Appl. Sci. 12 (2002), 407-430.
    • (2002) Math. Models Meth. Appl. Sci. , vol.12 , pp. 407-430
    • Humphrey, J.D.1    Rajagopal, K.R.2
  • 20
    • 0033319140 scopus 로고    scopus 로고
    • Internally constrained mixtures of elastic continua
    • S.M. Klisch, Internally constrained mixtures of elastic continua. Math. Mech. Solids 4 (1999), 481-498.
    • (1999) Math. Mech. Solids , vol.4 , pp. 481-498
    • Klisch, S.M.1
  • 21
    • 0031162164 scopus 로고    scopus 로고
    • A thermomechanical theory of solid-fluid mixtures
    • S. Krishnaswamy and R.C. Batra, A thermomechanical theory of solid-fluid mixtures. Math. Mech. Solids 2 (1997), 143-151.
    • (1997) Math. Mech. Solids , vol.2 , pp. 143-151
    • Krishnaswamy, S.1    Batra, R.C.2
  • 22
    • 0018918541 scopus 로고
    • The method of virtual power in continuum mechanics: Application to coupled fields
    • G.A. Maugin, The Method of Virtual Power in Continuum Mechanics: Application to Coupled Fields. Acta Mech. 35 (1980), 1-70.
    • (1980) Acta Mech. , vol.35 , pp. 1-70
    • Maugin, G.A.1
  • 23
    • 0029297165 scopus 로고
    • Material forces: Concepts and applications
    • G.A. Maugin, Material Forces: Concepts and applications. ASME Appl. Mech. Rev. 48 (1995), 213-245.
    • (1995) ASME Appl. Mech. Rev. , vol.48 , pp. 213-245
    • Maugin, G.A.1
  • 26
    • 0002474550 scopus 로고    scopus 로고
    • Fit regions and functions of bounded variation
    • W. Noll and E. Virga, Fit regions and functions of bounded variation. Arch. Rational Mech. Anal. 102 (1998), 1-21.
    • (1998) Arch. Rational Mech. Anal. , vol.102 , pp. 1-21
    • Noll, W.1    Virga, E.2
  • 27
    • 85036829033 scopus 로고    scopus 로고
    • An Eshelbian approach to the nonlinear mechanics of constrained solid-fluid mixtures
    • in press
    • S. Quiligotti, G.A. Maugin, and F. dell'Isola, An Eshelbian approach to the nonlinear mechanics of constrained solid-fluid mixtures. Acta Mech. (in press).
    • Acta Mech.
    • Quiligotti, S.1    Maugin, G.A.2    Dell'Isola, F.3
  • 29
    • 0032098779 scopus 로고    scopus 로고
    • Steady diffusion within a finitely extended mixture slab
    • R.A. Reynolds and J.D. Humphrey, Steady diffusion within a finitely extended mixture slab. Math. Mech. Solids 3 (1998), 147-167.
    • (1998) Math. Mech. Solids , vol.3 , pp. 147-167
    • Reynolds, R.A.1    Humphrey, J.D.2
  • 30
    • 0000583966 scopus 로고    scopus 로고
    • Mechanics and thermodynamics of saturated/unsaturated porous materials and quantitative solutions
    • B.A. Schrefler, Mechanics and thermodynamics of saturated/unsaturated porous materials and quantitative solutions. ASME Appl. Mech. Rev 55 (2002), 351-388.
    • (2002) ASME Appl. Mech. Rev , vol.55 , pp. 351-388
    • Schrefler, B.A.1
  • 31
    • 0001135523 scopus 로고
    • On the thermodynamics of a mixture of isotropic materials with contraints
    • B. Svendsen and K. Hurter, On the thermodynamics of a mixture of isotropic materials with contraints. Int. J. Engng. Sci. 33 (1995), 2021-2054.
    • (1995) Int. J. Engng. Sci. , vol.33 , pp. 2021-2054
    • Svendsen, B.1    Hurter, K.2
  • 32
    • 85015553125 scopus 로고
    • Biomechanics of growth, remodeling, and morphogenesis
    • L.A. Taber, Biomechanics of growth, remodeling, and morphogenesis. Appl. Mech. Rev. 48 (1995), 487-545.
    • (1995) Appl. Mech. Rev. , vol.48 , pp. 487-545
    • Taber, L.A.1
  • 33
    • 0035452722 scopus 로고    scopus 로고
    • A mixture theory for heat-induced alterations in hydration and mechanical properties in soft tissues
    • L. Tao, J.D. Humphrey, and K.R. Rajagopal, A mixture theory for heat-induced alterations in hydration and mechanical properties in soft tissues. Int. J. Engng. Sci. 39 (2001), 1535-1556.
    • (2001) Int. J. Engng. Sci. , vol.39 , pp. 1535-1556
    • Tao, L.1    Humphrey, J.D.2    Rajagopal, K.R.3
  • 37
    • 0000643288 scopus 로고    scopus 로고
    • Dynamics of porous materials under large deformations and changing porosity
    • R.C. Batra and M.F. Beatty, editors, CIMNE, Barcelona
    • K. Wilmanski, Dynamics of porous materials under large deformations and changing porosity. In R.C. Batra and M.F. Beatty, editors, Contemporary Research in the Mechanics and Mathematics of Materials, CIMNE, Barcelona 1996, pp. 343-356.
    • (1996) Contemporary Research in the Mechanics and Mathematics of Materials , pp. 343-356
    • Wilmanski, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.