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Volumn 32, Issue 2, 1997, Pages 353-360

Linearity of waves in some systems of non-linear elastodynamics

Author keywords

Exact solutions; Non linear elastodynamics

Indexed keywords

DYNAMICS; EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; LINEARIZATION; MATHEMATICAL MODELS; NONLINEAR EQUATIONS;

EID: 0031104529     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-7462(96)00064-9     Document Type: Article
Times cited : (8)

References (24)
  • 1
    • 0030195410 scopus 로고    scopus 로고
    • Lie group and invariant solutions of the plane-strain equations of motion of a neo-Hookean solid
    • H. C. Lei and J. A. Blume, Lie group and invariant solutions of the plane-strain equations of motion of a neo-Hookean solid. Int. J. Non-Linear Mech. 31, 465-482 (1996).
    • (1996) Int. J. Non-linear Mech. , vol.31 , pp. 465-482
    • Lei, H.C.1    Blume, J.A.2
  • 4
    • 0039438521 scopus 로고
    • A family of semi-inverse problems of nonlinear elasticity
    • (edited by G. M. de la Penha and L. A. Medeiros). North-Holland, Amsterdam
    • S. S. Antman, A family of semi-inverse problems of nonlinear elasticity. In Contemporary Developments in Continuum Mechanics and Partial Differential Equations (edited by G. M. de la Penha and L. A. Medeiros). North-Holland, Amsterdam (1978).
    • (1978) Contemporary Developments in Continuum Mechanics and Partial Differential Equations
    • Antman, S.S.1
  • 5
    • 0002565890 scopus 로고
    • The non-linear field theories of mechanics
    • (edited by S. Flugge). Springer-Verlag, Berlin
    • C. Truesdell and W. Noll, The Non-Linear Field Theories of Mechanics. Handbuch der Physik III/3 (edited by S. Flugge). Springer-Verlag, Berlin (1965).
    • (1965) Handbuch der Physik , vol.3 , Issue.3
    • Truesdell, C.1    Noll, W.2
  • 6
    • 0021903680 scopus 로고
    • Analysis of the Von-Karman equations by group methods
    • K. A. Ames and W. F. Ames, Analysis of the Von-Karman equations by group methods. Int. J. Non-Linear Mech. 20, 201 (1985).
    • (1985) Int. J. Non-linear Mech. , vol.20 , pp. 201
    • Ames, K.A.1    Ames, W.F.2
  • 7
    • 0020195086 scopus 로고
    • On static similarity deformations for isotropic materials
    • J. M. Hill, On static similarity deformations for isotropic materials. Quart. Appl. Math. 40, 287 (1982).
    • (1982) Quart. Appl. Math. , vol.40 , pp. 287
    • Hill, J.M.1
  • 13
    • 0027663883 scopus 로고
    • Dynamic elastic solutions in neo-Hookean and Mooney-Rivlin materials
    • C. E. Maneschy, M. Massoudi and V. R. Velloso, Dynamic elastic solutions in neo-Hookean and Mooney-Rivlin materials. Int. J. Non-Linear Mech. 28, 531 (1993).
    • (1993) Int. J. Non-linear Mech. , vol.28 , pp. 531
    • Maneschy, C.E.1    Massoudi, M.2    Velloso, V.R.3
  • 14
  • 15
    • 0011695501 scopus 로고
    • Finite amplitude standing waves in compressible elastic solids
    • M. M. Carrol, Finite amplitude standing waves in compressible elastic solids. J. Elasticity 8, 323 (1974).
    • (1974) J. Elasticity , vol.8 , pp. 323
    • Carrol, M.M.1
  • 16
    • 0002631493 scopus 로고
    • Large amplitude oscillations of a tube of incompressible elastic material
    • J. K. Knowles, Large amplitude oscillations of a tube of incompressible elastic material. Q. Appl. Math. 18, 71 (1960).
    • (1960) Q. Appl. Math. , vol.18 , pp. 71
    • Knowles, J.K.1
  • 19
    • 0030108876 scopus 로고    scopus 로고
    • A list of hodograph transformations and exactly linearizable systems
    • H. C. Lei and H. W. Chang, A list of hodograph transformations and exactly linearizable systems. Int. J. Non-Linear Mech. 31, 117-127 (1996).
    • (1996) Int. J. Non-linear Mech. , vol.31 , pp. 117-127
    • Lei, H.C.1    Chang, H.W.2
  • 20
    • 0042473502 scopus 로고    scopus 로고
    • Hodograph-type transformation and its application to nonlinear partial differential equations
    • submitted
    • H. C. Lei and H. W. Chang, Hodograph-type transformation and its application to nonlinear partial differential equations. I M A J. Appl. Math. (submitted).
    • I M A J. Appl. Math.
    • Lei, H.C.1    Chang, H.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.