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Volumn 44, Issue 5, 2009, Pages 530-537

Stroh formulation for a generally constrained and pre-stressed elastic material

Author keywords

Constrained materials; Fibre reinforced composites; Pre stress; Stroh formulation; Surface waves

Indexed keywords

ANISOTROPIC ELASTIC MATERIALS; CONSTRAINED MATERIALS; CONVENTIONAL METHODS; ELASTIC MATERIALS; ELASTICITY PROBLEMS; FIBRE-REINFORCED COMPOSITES; HAMILTONIAN FORMULATIONS; IMPEDANCE TENSOR; INTEGRAL REPRESENTATION; ISOTROPIC MATERIALS; MATRIX RICCATI EQUATION; PRE-STRESS; PRE-STRESSED; STROH FORMALISM; STROH FORMULATION;

EID: 67349263130     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2008.11.001     Document Type: Article
Times cited : (15)

References (44)
  • 1
    • 84924343758 scopus 로고
    • Dislocations and cracks in anisotropic elasticity
    • Stroh A.N. Dislocations and cracks in anisotropic elasticity. Philos. Mag. 3 (1958) 625-646
    • (1958) Philos. Mag. , vol.3 , pp. 625-646
    • Stroh, A.N.1
  • 2
    • 84959688535 scopus 로고
    • Steady state problems in anisotropic elasticity
    • Stroh A.N. Steady state problems in anisotropic elasticity. J. Math. Phys. 41 (1962) 77-103
    • (1962) J. Math. Phys. , vol.41 , pp. 77-103
    • Stroh, A.N.1
  • 3
    • 0002581302 scopus 로고
    • Synthesis of the sextic and the integral formalism for dislocations, Green's functions, and surface waves in anisotropic elastic solids
    • Barnett D.M., and Lothe J. Synthesis of the sextic and the integral formalism for dislocations, Green's functions, and surface waves in anisotropic elastic solids. Phys. Norv. 7 (1973) 13-19
    • (1973) Phys. Norv. , vol.7 , pp. 13-19
    • Barnett, D.M.1    Lothe, J.2
  • 4
    • 0000132061 scopus 로고
    • Consideration of the existence of surface wave (Rayleigh wave) solutions in anisotropic elastic crystals
    • Barnett D.M., and Lothe J. Consideration of the existence of surface wave (Rayleigh wave) solutions in anisotropic elastic crystals. J. Phys. F Metal Phys. 4 (1974) 671-686
    • (1974) J. Phys. F Metal Phys. , vol.4 , pp. 671-686
    • Barnett, D.M.1    Lothe, J.2
  • 5
    • 0001469971 scopus 로고
    • Free surface (Rayleigh) waves in anisotropic elastic half-spaces: the surface impedance method
    • Barnett D.M., and Lothe J. Free surface (Rayleigh) waves in anisotropic elastic half-spaces: the surface impedance method. Proc. R. Soc. London A 402 (1985) 135-152
    • (1985) Proc. R. Soc. London A , vol.402 , pp. 135-152
    • Barnett, D.M.1    Lothe, J.2
  • 6
    • 0347332094 scopus 로고
    • Foundations of the theory of surface waves in anisotropic elastic materials
    • Yih C.-S. (Ed), Academic Press, New York
    • Chadwick P., and Smith G.D. Foundations of the theory of surface waves in anisotropic elastic materials. In: Yih C.-S. (Ed). Advances in Applied Mechanics vol. 17 (1977), Academic Press, New York 303-376
    • (1977) Advances in Applied Mechanics , vol.17 , pp. 303-376
    • Chadwick, P.1    Smith, G.D.2
  • 8
    • 6344256723 scopus 로고    scopus 로고
    • An explicit expression for the surface-impedance matrix of a generally anisotropic incompressible elastic material in a state of plane strain
    • Fu Y.B. An explicit expression for the surface-impedance matrix of a generally anisotropic incompressible elastic material in a state of plane strain. Int. J. Non-linear Mech. 40 (2005) 229-239
    • (2005) Int. J. Non-linear Mech. , vol.40 , pp. 229-239
    • Fu, Y.B.1
  • 9
    • 1242263878 scopus 로고    scopus 로고
    • Uniqueness of the surface-wave speed: a proof that is independent of the Stroh formalism
    • Mielke A., and Fu Y.B. Uniqueness of the surface-wave speed: a proof that is independent of the Stroh formalism. Math. Mech. Solids 9 (2003) 5-15
    • (2003) Math. Mech. Solids , vol.9 , pp. 5-15
    • Mielke, A.1    Fu, Y.B.2
  • 10
    • 6344262649 scopus 로고
    • Impedance method in the theory of elastic surface waves
    • Biryukov S.V. Impedance method in the theory of elastic surface waves. Sov. Phys. Acoust. 31 (1985) 350-354
    • (1985) Sov. Phys. Acoust. , vol.31 , pp. 350-354
    • Biryukov, S.V.1
  • 11
    • 0032287479 scopus 로고    scopus 로고
    • Quasiconvexity at the boundary and a simple variational formulation of Agmon's condition
    • Mielke A., and Sprenger P. Quasiconvexity at the boundary and a simple variational formulation of Agmon's condition. J. Elast. 51 (1998) 23-41
    • (1998) J. Elast. , vol.51 , pp. 23-41
    • Mielke, A.1    Sprenger, P.2
  • 12
    • 57249116865 scopus 로고    scopus 로고
    • A new identity for the surface impedance matrix and its application to the determination of surface-wave speeds
    • Fu Y.B., and Mielke A. A new identity for the surface impedance matrix and its application to the determination of surface-wave speeds. Proc. R. Soc. London A 458 (2002) 2523-2543
    • (2002) Proc. R. Soc. London A , vol.458 , pp. 2523-2543
    • Fu, Y.B.1    Mielke, A.2
  • 13
    • 0347316863 scopus 로고    scopus 로고
    • Existence and uniqueness of edge waves in a generally anisotropic elastic plate
    • Fu Y.B. Existence and uniqueness of edge waves in a generally anisotropic elastic plate. Q. J. Mech. Appl. Math. 56 (2003) 605-616
    • (2003) Q. J. Mech. Appl. Math. , vol.56 , pp. 605-616
    • Fu, Y.B.1
  • 14
    • 27844474230 scopus 로고    scopus 로고
    • Edge waves in asymmetrically laminated plates
    • Fu Y.B., and Brookes D.W. Edge waves in asymmetrically laminated plates. J. Mech. Phys. Solids 54 (2006) 1-21
    • (2006) J. Mech. Phys. Solids , vol.54 , pp. 1-21
    • Fu, Y.B.1    Brookes, D.W.2
  • 15
    • 36348936249 scopus 로고    scopus 로고
    • Hamiltonian interpretation of the Stroh formalism in anisotropic elasticity
    • Fu Y.B. Hamiltonian interpretation of the Stroh formalism in anisotropic elasticity. Proc. R. Soc. A 463 (2007) 3073-3087
    • (2007) Proc. R. Soc. A , vol.463 , pp. 3073-3087
    • Fu, Y.B.1
  • 16
    • 4344650723 scopus 로고    scopus 로고
    • Surface waves in a deformed isotropic hyperelastic material subject to an isotropic internal constraint
    • Destrade M., and Scott N.H. Surface waves in a deformed isotropic hyperelastic material subject to an isotropic internal constraint. Wave Motion 40 (2004) 347-357
    • (2004) Wave Motion , vol.40 , pp. 347-357
    • Destrade, M.1    Scott, N.H.2
  • 17
    • 0016458821 scopus 로고
    • Acceleration waves in constrained elastic materials
    • Scott N.H. Acceleration waves in constrained elastic materials. Arch. Ration. Mech. Anal. 58 (1975) 57-75
    • (1975) Arch. Ration. Mech. Anal. , vol.58 , pp. 57-75
    • Scott, N.H.1
  • 18
    • 0016986743 scopus 로고
    • Acceleration waves in incompressible elastic solids
    • Scott N.H. Acceleration waves in incompressible elastic solids. Q. J. Mech. Appl. Math. 29 (1976) 295-310
    • (1976) Q. J. Mech. Appl. Math. , vol.29 , pp. 295-310
    • Scott, N.H.1
  • 19
    • 0021938456 scopus 로고
    • Basic theory of small-amplitude waves in a constrained elastic body
    • Chadwick P., Whitworth A.M., and Borejko P. Basic theory of small-amplitude waves in a constrained elastic body. Arch. Ration. Mech. Anal. 87 (1985) 339-354
    • (1985) Arch. Ration. Mech. Anal. , vol.87 , pp. 339-354
    • Chadwick, P.1    Whitworth, A.M.2    Borejko, P.3
  • 20
    • 0022162789 scopus 로고
    • A note on wave propagation in internally constrained hyperelastic materials
    • Scott N.H., and Hayes M. A note on wave propagation in internally constrained hyperelastic materials. Wave Motion 7 (1985) 601-605
    • (1985) Wave Motion , vol.7 , pp. 601-605
    • Scott, N.H.1    Hayes, M.2
  • 21
    • 0024699824 scopus 로고
    • The evolutionary behavior of plane transverse weak nonlinear shock waves in unstrained incompressible isotropic elastic non-conductors
    • Fu Y.B., and Scott N.H. The evolutionary behavior of plane transverse weak nonlinear shock waves in unstrained incompressible isotropic elastic non-conductors. Wave Motion 11 (1989) 351-365
    • (1989) Wave Motion , vol.11 , pp. 351-365
    • Fu, Y.B.1    Scott, N.H.2
  • 22
    • 0025798729 scopus 로고
    • Wave propagation in exceptional directions in multi-constrained elastic solids
    • Rogerson G.A., and Scott N.H. Wave propagation in exceptional directions in multi-constrained elastic solids. Int. J. Eng. Sci. 29 (1991) 1337-1348
    • (1991) Int. J. Eng. Sci. , vol.29 , pp. 1337-1348
    • Rogerson, G.A.1    Scott, N.H.2
  • 23
    • 0026821313 scopus 로고
    • Wave propagation in singly-constrained and nearly-constrained elastic materials
    • Rogerson G.A., and Scott N.H. Wave propagation in singly-constrained and nearly-constrained elastic materials. Q. J. Mech. Appl. Math. 45 (1992) 77-99
    • (1992) Q. J. Mech. Appl. Math. , vol.45 , pp. 77-99
    • Rogerson, G.A.1    Scott, N.H.2
  • 24
    • 43949164112 scopus 로고
    • Singly constrained elastic wave propagation and the limit of 2 constraints
    • Rogerson G.A., and Scott N.H. Singly constrained elastic wave propagation and the limit of 2 constraints. Wave Motion 18 (1993) 291-302
    • (1993) Wave Motion , vol.18 , pp. 291-302
    • Rogerson, G.A.1    Scott, N.H.2
  • 25
    • 0028518654 scopus 로고
    • Doubly constrained elastic wave propagation
    • Rogerson G.A., and Scott N.H. Doubly constrained elastic wave propagation. Int. J. Solids Struct. 31 (1994) 2769-2792
    • (1994) Int. J. Solids Struct. , vol.31 , pp. 2769-2792
    • Rogerson, G.A.1    Scott, N.H.2
  • 26
    • 0001269576 scopus 로고
    • Surface waves in pre-stressed Mooney material
    • Flavin J.N. Surface waves in pre-stressed Mooney material. Q. J. Mech. Appl. Math. 16 (1963) 441-449
    • (1963) Q. J. Mech. Appl. Math. , vol.16 , pp. 441-449
    • Flavin, J.N.1
  • 27
    • 0042034354 scopus 로고
    • Surface waves in uniaxially-stressed Mooney material
    • Willson A.J. Surface waves in uniaxially-stressed Mooney material. Pure Appl. Geophys. 112 (1974) 352-364
    • (1974) Pure Appl. Geophys. , vol.112 , pp. 352-364
    • Willson, A.J.1
  • 28
    • 0025137255 scopus 로고
    • On surface waves and deformations in a pre-stressed incompressible elastic solid
    • Dowaikh M.A., and Ogden R.W. On surface waves and deformations in a pre-stressed incompressible elastic solid. IMA J. Appl. Math. 44 (1990) 261-284
    • (1990) IMA J. Appl. Math. , vol.44 , pp. 261-284
    • Dowaikh, M.A.1    Ogden, R.W.2
  • 29
    • 0009424354 scopus 로고
    • The effect of shear on the propagation of elastic surface waves
    • Connor P., and Ogden R.W. The effect of shear on the propagation of elastic surface waves. Int. J. Eng. Sci. 33 (1995) 973-982
    • (1995) Int. J. Eng. Sci. , vol.33 , pp. 973-982
    • Connor, P.1    Ogden, R.W.2
  • 30
    • 0000765547 scopus 로고    scopus 로고
    • The influence of shear strain and hydrostatic stress on stability and elastic waves in a layer
    • Connor P., and Ogden R.W. The influence of shear strain and hydrostatic stress on stability and elastic waves in a layer. Int. J. Eng. Sci. 34 (1996) 375-397
    • (1996) Int. J. Eng. Sci. , vol.34 , pp. 375-397
    • Connor, P.1    Ogden, R.W.2
  • 31
    • 0031337577 scopus 로고    scopus 로고
    • The application of the Stroh formalism to prestressed elastic media
    • Chadwick P. The application of the Stroh formalism to prestressed elastic media. Math. Mech. Solids 2 (1997) 379-403
    • (1997) Math. Mech. Solids , vol.2 , pp. 379-403
    • Chadwick, P.1
  • 32
    • 6344282629 scopus 로고    scopus 로고
    • Surface waves in a stretched and sheared incompressible elastic material
    • Destrade M., and Ogden R.W. Surface waves in a stretched and sheared incompressible elastic material. Int. J. Non-linear Mech. 40 (2005) 241-253
    • (2005) Int. J. Non-linear Mech. , vol.40 , pp. 241-253
    • Destrade, M.1    Ogden, R.W.2
  • 33
    • 24644455894 scopus 로고    scopus 로고
    • Non-principal surface waves in deformed incompressible materials
    • Destrade M., Ottenio M., Pichugin A.V., and Rogerson G.A. Non-principal surface waves in deformed incompressible materials. Int. J. Eng. Sci. 43 (2005) 1092-1106
    • (2005) Int. J. Eng. Sci. , vol.43 , pp. 1092-1106
    • Destrade, M.1    Ottenio, M.2    Pichugin, A.V.3    Rogerson, G.A.4
  • 34
    • 0021446638 scopus 로고
    • The effect of inextensibility on elastic surface waves
    • Whitworth A.M., and Chadwick P. The effect of inextensibility on elastic surface waves. Wave Motion 6 (1984) 289-302
    • (1984) Wave Motion , vol.6 , pp. 289-302
    • Whitworth, A.M.1    Chadwick, P.2
  • 35
    • 0040709249 scopus 로고
    • Surface waves in an inextensible, transversely isotropic elastic body
    • Captain V.S., and Chadwick P. Surface waves in an inextensible, transversely isotropic elastic body. Q. J. Mech. Appl. Math. 39 (1986) 327-342
    • (1986) Q. J. Mech. Appl. Math. , vol.39 , pp. 327-342
    • Captain, V.S.1    Chadwick, P.2
  • 36
    • 0036642788 scopus 로고    scopus 로고
    • The incompressible limit in linear anisotropic elasticity, with applications to surface waves and elastostatics
    • Destrade M., Martin P.A., and Ting T.C.T. The incompressible limit in linear anisotropic elasticity, with applications to surface waves and elastostatics. J. Mech. Phys. Solids 50 (2002) 1453-1468
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 1453-1468
    • Destrade, M.1    Martin, P.A.2    Ting, T.C.T.3
  • 37
    • 0021415503 scopus 로고
    • Surface waves in an elastic body with restricted shear
    • Whitworth A.M., and Chadwick P. Surface waves in an elastic body with restricted shear. Arabian J. Sci. Eng. 9 (1984) 67-76
    • (1984) Arabian J. Sci. Eng. , vol.9 , pp. 67-76
    • Whitworth, A.M.1    Chadwick, P.2
  • 39
    • 0033413353 scopus 로고    scopus 로고
    • Nonlinear stability analysis of pre-stressed elastic bodies
    • Fu Y.B., and Ogden R.W. Nonlinear stability analysis of pre-stressed elastic bodies. Continuum Mech. Thermodyn. 11 (1999) 141-172
    • (1999) Continuum Mech. Thermodyn. , vol.11 , pp. 141-172
    • Fu, Y.B.1    Ogden, R.W.2
  • 40
    • 36049057939 scopus 로고
    • Elastic surface waves in crystals
    • Ingebrigtsen K.A., and Tonning A. Elastic surface waves in crystals. Phys. Rev. 184 (1969) 942-951
    • (1969) Phys. Rev. , vol.184 , pp. 942-951
    • Ingebrigtsen, K.A.1    Tonning, A.2
  • 41
    • 33748063620 scopus 로고    scopus 로고
    • An explicit expression for the surface-impedance tensor of a compressible monoclinic material in a state of plane strain
    • Fu Y.B., and Brookes D.W. An explicit expression for the surface-impedance tensor of a compressible monoclinic material in a state of plane strain. IMA J. Appl. Math. 71 (2006) 434-445
    • (2006) IMA J. Appl. Math. , vol.71 , pp. 434-445
    • Fu, Y.B.1    Brookes, D.W.2
  • 42
    • 31744441330 scopus 로고    scopus 로고
    • The speed of interfacial waves polarized in a symmetry plane
    • Destrade M., and Fu Y.B. The speed of interfacial waves polarized in a symmetry plane. Int. J. Eng. Sci. 44 (2006) 26-36
    • (2006) Int. J. Eng. Sci. , vol.44 , pp. 26-36
    • Destrade, M.1    Fu, Y.B.2
  • 43
    • 0034156395 scopus 로고    scopus 로고
    • on the development of volumetric strain energy functions
    • Doll S., and Schweizerhof K. on the development of volumetric strain energy functions. J. Appl. Mech. 67 (2000) 17-21
    • (2000) J. Appl. Mech. , vol.67 , pp. 17-21
    • Doll, S.1    Schweizerhof, K.2
  • 44
    • 0016942359 scopus 로고
    • Constraints in linear elastic materials
    • Pipkin A.C. Constraints in linear elastic materials. J. Elast. 6 (1976) 179-193
    • (1976) J. Elast. , vol.6 , pp. 179-193
    • Pipkin, A.C.1


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