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Volumn 455, Issue 1990, 1999, Pages 3845-3874

Nonlinear travelling waves in a rod composed of a modified Mooney-Rivlin material. I Bifurcation of critical points and the non-singular case

Author keywords

Finite elasticity; Hyperelastic rod; Travelling waves

Indexed keywords


EID: 0038551976     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1999.0480     Document Type: Article
Times cited : (16)

References (17)
  • 3
    • 0012122868 scopus 로고
    • Nonuniqucness of equilibrium states for bars in tension
    • Antman, S. S. 1973 Nonuniqucness of equilibrium states for bars in tension. J. Math. Appl. 44, 333-349.
    • (1973) J. Math. Appl. , vol.44 , pp. 333-349
    • Antman, S.S.1
  • 4
    • 0041566706 scopus 로고
    • Qualitative theory of the ordinary differential equations of nonlinear elasticity
    • Antman, S. S. 1974 Qualitative theory of the ordinary differential equations of nonlinear elasticity. In Mechanics today (cd. M. Nemat-Nasser), pp. 58-161. New York: Pergamon.
    • (1974) In Mechanics Today (Cd. M. Nemat-Nasser), Pp. , vol.58
    • Antman, S.S.1
  • 5
    • 0018318755 scopus 로고
    • Traveling waves in hyperelastic rods
    • Antman, S. S. & Liu, T.-P. 1979 Traveling waves in hyperelastic rods. Q. Appl. Math. 36, 377-399.
    • (1979) Q. Appl. Math. , vol.36 , pp. 377-399
    • Antman, S.S.1    Liu, T.-P.2
  • 7
    • 0020686961 scopus 로고
    • Necking and drawing in polymeric fibers under tension
    • Coleman, B. D. 1983 Necking and drawing in polymeric fibers under tension. Arch. Ration. Mech. Analysis 83, 115-137.
    • (1983) Arch. Ration. Mech. Analysis , vol.83 , pp. 115-137
    • Coleman, B.D.1
  • 9
    • 0031679566 scopus 로고    scopus 로고
    • Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
    • Dai, H.-H. 1998 Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod. Acta Mech. 127, 193-207.
    • (1998) Acta Mech. , vol.127 , pp. 193-207
    • Dai, H.-H.1
  • 13
    • 0037701849 scopus 로고
    • Differential equations and dynamical systems
    • Perko, L. 1993 Differential equations and dynamical systems. Springer.
    • (1993) Springer.
    • Perko, L.1
  • 14
    • 0040530067 scopus 로고
    • On existence of longitudinal strain solitons in an infinite nonlinear elastic rod
    • Samsonov, A. M. 1988 On existence of longitudinal strain solitons in an infinite nonlinear elastic rod. Sov. Phys. Dokl. 33, 298-300.
    • (1988) Sov. Phys. Dokl. , vol.33 , pp. 298-300
    • Samsonov, A.M.1
  • 17
    • 0022045748 scopus 로고
    • Nonlinear waves in rods: Results for incompressible elastic materials
    • Wright, T. 1985 Nonlinear waves in rods: results for incompressible elastic materials. Stud. Appl. Math. 72, 149-160.
    • (1985) Stud. Appl. Math. , vol.72 , pp. 149-160
    • Wright, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.