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Volumn 26, Issue 8, 2005, Pages 973-981

Qualitative analysis of dynamical behavior for an imperfect incompressible neo-Hookean spherical shell

Author keywords

Critical value; Dynamical behavior; Imperfect incompressible neo Hookean material; Nonlinear periodic oscillation

Indexed keywords

DYNAMICS; MOTION CONTROL; NONLINEAR SYSTEMS; NUMERICAL ANALYSIS; OSCILLATIONS; SHELLS (STRUCTURES); SPHERES;

EID: 25144476593     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02466409     Document Type: Article
Times cited : (4)

References (13)
  • 1
    • 0019902788 scopus 로고
    • Discontinuous equilibrium solutions and cavitations in nonlinear elasticity
    • Ball J M. Discontinuous equilibrium solutions and cavitations in nonlinear elasticity[J]. Philos Trans Roy Soc London, Ser A, 1982, 306(3): 557-610.
    • (1982) Philos Trans Roy Soc London, Ser A , vol.306 , Issue.3 , pp. 557-610
    • Ball, J.M.1
  • 2
    • 0027685588 scopus 로고
    • Cavitation for incompressible anisotropic nonlinearly elastic spheres
    • Polignone D A, Horgan C O. Cavitation for incompressible anisotropic nonlinearly elastic spheres[J]. Journal of Elasticity, 1993, 33(1): 27-65.
    • (1993) Journal of Elasticity , vol.33 , Issue.1 , pp. 27-65
    • Polignone, D.A.1    Horgan, C.O.2
  • 3
    • 84997133578 scopus 로고
    • Cavitation in nonlinearly elastic solids: A review
    • Horgan C O, Polignone D A. Cavitation in nonlinearly elastic solids: a review[J]. Applied Mechanics Review, 1995, 48(8): 471-485.
    • (1995) Applied Mechanics Review , vol.48 , Issue.8 , pp. 471-485
    • Horgan, C.O.1    Polignone, D.A.2
  • 4
    • 0036700850 scopus 로고    scopus 로고
    • Cavity bifurcation for incompressible hyperelastic material
    • Ren Jiusheng, Cheng Changjun. Cavity bifurcation for incompressible hyperelastic material[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(8): 881-888.
    • (2002) Applied Mathematics and Mechanics (English Edition) , vol.23 , Issue.8 , pp. 881-888
    • Ren, J.1    Cheng, C.2
  • 5
    • 0036869296 scopus 로고    scopus 로고
    • Bifurcation of cavitation solutions for incompressible transversely isotropic hyper-elastic materials
    • Ren Jiusheng, Cheng Changjun. Bifurcation of cavitation solutions for incompressible transversely isotropic hyper-elastic materials[J]. Journal Engineering Mathematics, 2002, 44(5): 245-257.
    • (2002) Journal Engineering Mathematics , vol.44 , Issue.5 , pp. 245-257
    • Ren, J.1    Cheng, C.2
  • 6
    • 0035400897 scopus 로고    scopus 로고
    • Exact solution for cavitated bifurcation for compressible hyper-elastic materials
    • Shang Xinchun, Cheng Changjun. Exact solution for cavitated bifurcation for compressible hyper-elastic materials[J]. Internal J Engrg Sci, 2001, 39(12): 1101-1117.
    • (2001) Internal J Engrg Sci , vol.39 , Issue.12 , pp. 1101-1117
    • Shang, X.1    Cheng, C.2
  • 7
    • 4544386356 scopus 로고    scopus 로고
    • Qualitative analyses of spherical cavity nucleation and growth for incompressible generalized Valanis-Landel hyperelastic material
    • Yuan Xuegang, Zhu Zhengyou. Qualitative analyses of spherical cavity nucleation and growth for incompressible generalized Valanis-Landel hyperelastic material[J]. Acta Mechanica Solida Sinica, 2004, 17(2): 158-165.
    • (2004) Acta Mechanica Solida Sinica , vol.17 , Issue.2 , pp. 158-165
    • Yuan, X.1    Zhu, Z.2
  • 8
    • 84867933402 scopus 로고    scopus 로고
    • Void Formation and growth for a class of compressible hyper-elastic sphere
    • Yuan Xuegang, Zhu Zhengyou, Cheng Changjun. Void Formation and growth for a class of compressible hyper-elastic sphere[J]. Journal of Shanghai University, 2004, 8(1): 13-19.
    • (2004) Journal of Shanghai University , vol.8 , Issue.1 , pp. 13-19
    • Yuan, X.1    Zhu, Z.2    Cheng, C.3
  • 9
    • 13444306228 scopus 로고    scopus 로고
    • Cavitated formation and its vibration for a class of generalized incompressible hyper-elastic materials
    • Yuan Xuegang, Zhu Zhengyou, Cheng Changjun. Cavitated formation and its vibration for a class of generalized incompressible hyper-elastic materials[J]. Acta Mechanica Solida Sinica, 2004, 17(4): 361-369.
    • (2004) Acta Mechanica Solida Sinica , vol.17 , Issue.4 , pp. 361-369
    • Yuan, X.1    Zhu, Z.2    Cheng, C.3
  • 10
    • 0002631493 scopus 로고
    • Large amplitude oscillations of a tube of incompressible elastic material
    • Knowles J K. Large amplitude oscillations of a tube of incompressible elastic material[J]. Quart Appl Math, 1960, 18(1): 71-77.
    • (1960) Quart Appl Math , vol.18 , Issue.1 , pp. 71-77
    • Knowles, J.K.1
  • 11
    • 85024546517 scopus 로고
    • On a class of oscillations in the finite deformation theory of elasticity
    • Knowles J K. On a class of oscillations in the finite deformation theory of elasticity[J]. J Appl Mech, 1962, 29(3): 283-286.
    • (1962) J Appl Mech , vol.29 , Issue.3 , pp. 283-286
    • Knowles, J.K.1
  • 12
    • 0009219450 scopus 로고
    • Free and forced finite amplitude oscillations of an elastic thick-walled hollow sphere made of incompressible material
    • Guo Z H, Solecki R. Free and forced finite amplitude oscillations of an elastic thick-walled hollow sphere made of incompressible material[J]. Arch Mech Stos, 1963, 15(8): 427-433.
    • (1963) Arch Mech Stos , vol.15 , Issue.8 , pp. 427-433
    • Guo, Z.H.1    Solecki, R.2
  • 13
    • 0020749481 scopus 로고
    • The dynamical behavior of nonlinear elastic spherical shells
    • Calderer C. The dynamical behavior of nonlinear elastic spherical shells[J]. J Elasticity, 1983, 13(1): 17-47.
    • (1983) J Elasticity , vol.13 , Issue.1 , pp. 17-47
    • Calderer, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.