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Volumn 59, Issue 1, 1997, Pages 95-121

The effect of pre-stress on the propagation and reflection of plane waves in incompressible elastic solids

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE REFLECTION; ACOUSTIC WAVE TRANSMISSION; ACOUSTIC WAVE VELOCITY; BOUNDARY CONDITIONS; DEFORMATION; GRAPH THEORY; SOLIDS; STRAIN; STRESS ANALYSIS; SURFACE WAVES;

EID: 0031197683     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/59.1.95     Document Type: Article
Times cited : (41)

References (36)
  • 3
    • 0000770767 scopus 로고
    • Finite-amplitude waves in deformed Mooney-Rivlin materials
    • BOULANGER, P. & HAYES, M. A. 1992 Finite-amplitude waves in deformed Mooney-Rivlin materials. Q. Jl Mech. Appl. Math. 45, 59-77.
    • (1992) Q. Jl Mech. Appl. Math. , vol.45 , pp. 59-77
    • Boulanger, P.1    Hayes, M.A.2
  • 4
    • 0028594938 scopus 로고
    • Finite-amplitude plane waves in deformed Hadamard elastic materials
    • BOULANGER, P., HAYES, M. A. & TRIMARCO, C. 1994 Finite-amplitude plane waves in deformed Hadamard elastic materials. Geophys. J. Int. 118, 447-458.
    • (1994) Geophys. J. Int. , vol.118 , pp. 447-458
    • Boulanger, P.1    Hayes, M.A.2    Trimarco, C.3
  • 5
    • 0001243603 scopus 로고
    • Some results on finite amplitude elastic waves
    • CARROLL, M. M. 1967 Some results on finite amplitude elastic waves. Acta Mech. 3, 167-181.
    • (1967) Acta Mech. , vol.3 , pp. 167-181
    • Carroll, M.M.1
  • 6
    • 0002133948 scopus 로고
    • Interfacial waves in pre-strained isotropic elastic media
    • CHADWICK, P. 1995 Interfacial waves in pre-strained isotropic elastic media. Z. angew. Math. Phys. 46, S51-S71.
    • (1995) Z. Angew. Math. Phys. , vol.46
    • Chadwick, P.1
  • 7
    • 0018492384 scopus 로고
    • Surface waves in a pre-stressed elastic body
    • CHADWICK, P. & JARVIS, D. A. 1979a Surface waves in a pre-stressed elastic body. Proc. R. Soc. A 366, 517-536.
    • (1979) Proc. R. Soc. A , vol.366 , pp. 517-536
    • Chadwick, P.1    Jarvis, D.A.2
  • 8
    • 0018545016 scopus 로고
    • Interfacial waves in a pre-strained neo-Hookean body I. Biaxial states of strain
    • CHADWICK, P. & JARVIS, D. A. 1979b Interfacial waves in a pre-strained neo-Hookean body I. Biaxial states of strain. Q. Jl Mech. Appl. Math. 32, 387-399.
    • (1979) Q. Jl Mech. Appl. Math. , vol.32 , pp. 387-399
    • Chadwick, P.1    Jarvis, D.A.2
  • 9
    • 0018544861 scopus 로고
    • Interfacial waves in a pre-strained neo-Hookean body II. Triaxial states of strain
    • CHADWICK, P. & JARVIS, D. A. 1979c Interfacial waves in a pre-strained neo-Hookean body II. Triaxial states of strain. Q. Jl. Mech. Appl. Math. 32, 401-418.
    • (1979) Q. Jl. Mech. Appl. Math. , vol.32 , pp. 401-418
    • Chadwick, P.1    Jarvis, D.A.2
  • 10
    • 0009424354 scopus 로고
    • The effect of shear on the propagation of elastic surface waves
    • CONNOR, P. & OGDEN, R. W. 1995 The effect of shear on the propagation of elastic surface waves. Int. J. Engng Sci. 33, 973-982.
    • (1995) Int. J. Engng Sci. , vol.33 , pp. 973-982
    • Connor, P.1    Ogden, R.W.2
  • 11
    • 0000765547 scopus 로고    scopus 로고
    • The influence of shear strain and hydrostatic stress on stability and elastic waves in a layer
    • CONNOR, P. & OGDEN, R. W. 1996 The influence of shear strain and hydrostatic stress on stability and elastic waves in a layer. Int. J. Engng Sci. 34, 375-397.
    • (1996) Int. J. Engng Sci. , vol.34 , pp. 375-397
    • Connor, P.1    Ogden, R.W.2
  • 12
    • 0000012627 scopus 로고
    • Longitudinal and transverse waves in finite elastic strain. Hadamard and Green materials
    • CURRIE, P. & HAYES, M. A. 1969 Longitudinal and transverse waves in finite elastic strain. Hadamard and Green materials. J. Inst. Maths Applics 5, 140-161.
    • (1969) J. Inst. Maths Applics , vol.5 , pp. 140-161
    • Currie, P.1    Hayes, M.A.2
  • 13
    • 0025137255 scopus 로고
    • On surface waves and deformations in a pre-stressed incompressible elastic solid
    • DOWAIKH, M. A. & OGDEN, R. W. 1990 On surface waves and deformations in a pre-stressed incompressible elastic solid. IMA J. Appl. Math. 44, 261-284.
    • (1990) IMA J. Appl. Math. , vol.44 , pp. 261-284
    • Dowaikh, M.A.1    Ogden, R.W.2
  • 14
    • 0002013701 scopus 로고
    • On surface waves and deformations in a compressible elastic half-space
    • DOWAIKH, M. A. & OGDEN, R. W. 1991a On surface waves and deformations in a compressible elastic half-space. Stability Appl. Anal. Continuous Media 1, 27-45.
    • (1991) Stability Appl. Anal. Continuous Media , vol.1 , pp. 27-45
    • Dowaikh, M.A.1    Ogden, R.W.2
  • 15
    • 0000521414 scopus 로고
    • Interfacial waves and deformations in pre-stressed elastic media
    • DOWAIKH, M. A. & OGDEN, R. W. 1991b Interfacial waves and deformations in pre-stressed elastic media. Proc. R. Soc. A 433, 313-328.
    • (1991) Proc. R. Soc. A , vol.433 , pp. 313-328
    • Dowaikh, M.A.1    Ogden, R.W.2
  • 17
    • 34250966359 scopus 로고
    • Surface waves in deformed elastic materials
    • HAYES, M. A. & RIVLIN, R. S. 1961 Surface waves in deformed elastic materials. Arch. Rat. Mech. Anal. 8, 358-380.
    • (1961) Arch. Rat. Mech. Anal. , vol.8 , pp. 358-380
    • Hayes, M.A.1    Rivlin, R.S.2
  • 18
    • 0030797338 scopus 로고    scopus 로고
    • Elastic waves in orthotropic incompressible materials and reflection from an interface
    • to appear
    • NAIR, S. & SOTIROPOULOS, D. A. 1997 Elastic waves in orthotropic incompressible materials and reflection from an interface. J. Acoust. Soc. Am. to appear.
    • (1997) J. Acoust. Soc. Am.
    • Nair, S.1    Sotiropoulos, D.A.2
  • 19
    • 0020850119 scopus 로고
    • Propagation of plane waves in a pre-stressed elastic medium
    • NORRIS, A. N. 1983 Propagation of plane waves in a pre-stressed elastic medium. J. Acoust. Soc. Am. 74, 1642-1643.
    • (1983) J. Acoust. Soc. Am. , vol.74 , pp. 1642-1643
    • Norris, A.N.1
  • 20
    • 0014763142 scopus 로고
    • Waves in isotropic elastic materials of Hadamard, Green or harmonic type
    • OGDEN, R. W. 1970a Waves in isotropic elastic materials of Hadamard, Green or harmonic type. J. Mech. Phys. Solids 18, 149-164.
    • (1970) J. Mech. Phys. Solids , vol.18 , pp. 149-164
    • Ogden, R.W.1
  • 21
    • 5844351063 scopus 로고
    • Ph.D. Dissertation, University of Cambridge
    • OGDEN, R. W. 1970b Ph.D. Dissertation, University of Cambridge.
    • (1970)
    • Ogden, R.W.1
  • 24
    • 0027774399 scopus 로고
    • The effect of pre-stress on the vibration and stability of elastic plates
    • OGDEN, R. W. & ROXBURGH, D. G. 1993 The effect of pre-stress on the vibration and stability of elastic plates. Int. J. Engng Sci. 31, 1611-1639.
    • (1993) Int. J. Engng Sci. , vol.31 , pp. 1611-1639
    • Ogden, R.W.1    Roxburgh, D.G.2
  • 25
    • 0000019323 scopus 로고
    • On interfacial waves in pre-stressed layered incompressible elastic solids
    • OGDEN, R. W. & SOTIROPOULOS, D. A. 1995 On interfacial waves in pre-stressed layered incompressible elastic solids. Proc. R. Soc. A 450, 319-341.
    • (1995) Proc. R. Soc. A , vol.450 , pp. 319-341
    • Ogden, R.W.1    Sotiropoulos, D.A.2
  • 26
    • 0030171134 scopus 로고    scopus 로고
    • The effect of pre-stress on guided ultrasonic waves between a surface layer and a half-space
    • OGDEN, R. W. & SOTIROPOULOS, D. A. 1996 The effect of pre-stress on guided ultrasonic waves between a surface layer and a half-space. Ultrasonics 34, 491-494.
    • (1996) Ultrasonics , vol.34 , pp. 491-494
    • Ogden, R.W.1    Sotiropoulos, D.A.2
  • 27
    • 0028401129 scopus 로고
    • Stability and vibration of pre-stressed compressible elastic plates
    • ROXBURGH, D. G. & OGDEN, R. W. 1994 Stability and vibration of pre-stressed compressible elastic plates. Int. J. Engng Sci. 32, 427-454.
    • (1994) Int. J. Engng Sci. , vol.32 , pp. 427-454
    • Roxburgh, D.G.1    Ogden, R.W.2
  • 28
    • 0022889471 scopus 로고
    • The slowness surfaces of incompressible and nearly incompressible elastic materials
    • SCOTT, N. H. 1986 The slowness surfaces of incompressible and nearly incompressible elastic materials. J. Elasticity 16, 239-250.
    • (1986) J. Elasticity , vol.16 , pp. 239-250
    • Scott, N.H.1
  • 29
    • 0021639240 scopus 로고
    • Reflection of P and SV waves at the free surface of a pre-stressed elastic half-space
    • SIDHU, R. S. & SINGH, S. J. 1984 Reflection of P and SV waves at the free surface of a pre-stressed elastic half-space. J. Acoust. Soc. Am. 76, 594-598.
    • (1984) J. Acoust. Soc. Am. , vol.76 , pp. 594-598
    • Sidhu, R.S.1    Singh, S.J.2
  • 30
    • 0029267657 scopus 로고
    • Interfacial waves in pre-stressed incompressible elastic interlayers
    • SOTIROPOULOS, D. A. & SIFNIOTOPOULOS, C. G. 1995 Interfacial waves in pre-stressed incompressible elastic interlayers. J. Mech. Phys. Solids 43, 365-387.
    • (1995) J. Mech. Phys. Solids , vol.43 , pp. 365-387
    • Sotiropoulos, D.A.1    Sifniotopoulos, C.G.2
  • 31
    • 0002886186 scopus 로고
    • Effective elastic coefficients for wave propagation in crystals under stress
    • THURSTON, R. N. 1965 Effective elastic coefficients for wave propagation in crystals under stress. J. Acoust. Soc. Am. 37, 348-356.
    • (1965) J. Acoust. Soc. Am. , vol.37 , pp. 348-356
    • Thurston, R.N.1
  • 32
    • 0014515760 scopus 로고
    • Elastic wave propagations and acoustical birefringence in stressed crystals
    • TOKUOKA, T. & SAITO, M. 1969 Elastic wave propagations and acoustical birefringence in stressed crystals. J. Acoust. Soc. Am. 45, 1241-1246.
    • (1969) J. Acoust. Soc. Am. , vol.45 , pp. 1241-1246
    • Tokuoka, T.1    Saito, M.2
  • 33
    • 0020400445 scopus 로고
    • On elastic waves in pre-stressed solids
    • TOLSTOY, I. 1982 On elastic waves in pre-stressed solids. J. Geophys. Res. 87, 6823-6827.
    • (1982) J. Geophys. Res. , vol.87 , pp. 6823-6827
    • Tolstoy, I.1
  • 34
    • 84953654254 scopus 로고
    • Sound waves in deformed perfectly elastic materials. Acoustoelastic effect
    • TOUPIN, R. A. & BERNSTEIN, B. 1961 Sound waves in deformed perfectly elastic materials. Acoustoelastic effect. J. Acoust. Soc. Am. 33, 216-225.
    • (1961) J. Acoust. Soc. Am. , vol.33 , pp. 216-225
    • Toupin, R.A.1    Bernstein, B.2
  • 35
    • 0042985530 scopus 로고
    • Existence of longitudinal waves
    • TRUESDELL, C. A. 1966 Existence of longitudinal waves. J. Acoust. Soc. Am. 40, 729-730.
    • (1966) J. Acoust. Soc. Am. , vol.40 , pp. 729-730
    • Truesdell, C.A.1
  • 36
    • 0002565890 scopus 로고
    • The Nonlinear Field Theories of Mechanics
    • Berlin: Springer
    • TRUESDELL, C. A. & NOLL, W. 1965 The Nonlinear Field Theories of Mechanics, Handbuch der Physik Vol. III/3. Berlin: Springer.
    • (1965) Handbuch der Physik , vol.3 , Issue.3
    • Truesdell, C.A.1    Noll, W.2


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