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Volumn 3, Issue 3, 2006, Pages 119-129

Nonlinear dynamical analysis in incompressible transversely isotropic nonlinearly elastic materials: Cavity formation and motion in solid spheres

Author keywords

Cavity formation and motion; Classical (or generalized) periodic solution, nonlinear periodic oscillation; Incompressible transversely isotropic non linearly elastic material; Nonlinear elastodynamics

Indexed keywords

FINITE ELEMENT METHOD; NONLINEAR SYSTEMS; NUMERICAL METHODS; OSCILLATIONS; PROBLEM SOLVING; TENSILE STRENGTH;

EID: 33748877203     PISSN: 15462218     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review
Times cited : (8)

References (16)
  • 1
    • 0019902788 scopus 로고
    • Discontinuous equilibrium solutions and cavitations in nonlinear elasticity
    • Ball, J. M. (1982): Discontinuous equilibrium solutions and cavitations in nonlinear elasticity. Philos. Trans. Roy. Soc. Lond. Ser. A, vol. 306, pp. 557-611.
    • (1982) Philos. Trans. Roy. Soc. Lond. Ser. A , vol.306 , pp. 557-611
    • Ball, J.M.1
  • 2
    • 0016974081 scopus 로고
    • Some observations on the micro-morphology of deformed ABS and HIPS rubber-modified materials
    • Beahan, P.; Thomas, A.; Bevis, M. (1976) Some observations on the micro-morphology of deformed ABS and HIPS rubber-modified materials. Journal of Materials Science, vol. 11, pp. 1207-1214
    • (1976) Journal of Materials Science , vol.11 , pp. 1207-1214
    • Beahan, P.1    Thomas, A.2    Bevis, M.3
  • 3
    • 0020749481 scopus 로고
    • The dynamical behavior of non-linear elastic spherical shells
    • Calderer, C. (1983): The dynamical behavior of non-linear elastic spherical shells. J. Elasticity, vol. 13, pp. 17-47.
    • (1983) J. Elasticity , vol.13 , pp. 17-47
    • Calderer, C.1
  • 4
    • 0024928081 scopus 로고
    • Cavitation in nonlinear elaslodynamics for Neo-Hookean materials
    • Chou-Wang, M. -S; Horgan, C. O. (1989): Cavitation in nonlinear elaslodynamics for Neo-Hookean materials, Int. J. Engin. Sci, vol. 27, pp. 967-973.
    • (1989) Int. J. Engin. Sci , vol.27 , pp. 967-973
    • Chou-Wang, M.S.1    Horgan, C.O.2
  • 5
    • 0000951184 scopus 로고
    • Internal rupture of bonded rubber cylinders in tension
    • Gent, A. N.; Lindley, P. B. (1958): Internal rupture of bonded rubber cylinders in tension, Proc. R. Soc. London Ser A, vol. 249, pp. 195-205.
    • (1958) Proc. R. Soc. London Ser A , vol.249 , pp. 195-205
    • Gent, A.N.1    Lindley, P.B.2
  • 6
    • 0000670936 scopus 로고
    • Forms for the store energy function for vulcanized rubber
    • Gent, A. N.; Thomas (1958): Forms for the store energy function for vulcanized rubber. J. Polym. Sci., vol. 28, pp. 625-628.
    • (1958) J. Polym. Sci. , vol.28 , pp. 625-628
    • Gent, A.N.1    Thomas2
  • 7
    • 84997133578 scopus 로고
    • Cavitation in nonlinear elastic solids: A review
    • Horgan, C. O.; Polignone, D. A. (1995): Cavitation in nonlinear elastic solids: A review, Appl. Mech. Rev., vol. 48, pp. 471-485.
    • (1995) Appl. Mech. Rev. , vol.48 , pp. 471-485
    • Horgan, C.O.1    Polignone, D.A.2
  • 8
    • 0002631493 scopus 로고
    • Large amplitude oscillations of a tube of incompressible elastic material
    • Knowles, J. K. (1960): Large amplitude oscillations of a tube of incompressible elastic material. Q Appl Math, vol. 18, pp. 71-77.
    • (1960) Q Appl Math , vol.18 , pp. 71-77
    • Knowles, J.K.1
  • 9
    • 0031251273 scopus 로고    scopus 로고
    • Nonmontonic cavity growth in finite, compressible elasticity
    • Murphy, J. G.; Biwa, S. (1997): Nonmontonic cavity growth in finite, compressible elasticity. Int. J. Solids Structures, vol. 34, pp. 3859-3872.
    • (1997) Int. J. Solids Structures , vol.34 , pp. 3859-3872
    • Murphy, J.G.1    Biwa, S.2
  • 10
    • 0027685588 scopus 로고
    • Cavitation for incompressible anisotropic nonlinearly elastic spheres
    • Polignone, D. A.; Horgan, C. O. (1993a): Cavitation for incompressible anisotropic nonlinearly elastic spheres, J. Elasticity, vol. 33, pp. 27-65.
    • (1993) J. Elasticity , vol.33 , pp. 27-65
    • Polignone, D.A.1    Horgan, C.O.2
  • 12
    • 0035400897 scopus 로고    scopus 로고
    • Exact Solution for cavitated bifurcation for compressible hyper-elastic materials
    • Shang, X. C.; Cheng, C. J. (2001): Exact Solution for cavitated bifurcation for compressible hyper-elastic materials. Int. J. Engin. Sci., vol. 39, pp. 1101-1117.
    • (2001) Int. J. Engin. Sci. , vol.39 , pp. 1101-1117
    • Shang, X.C.1    Cheng, C.J.2
  • 13
    • 0003856063 scopus 로고
    • Spherical flaw instability in hydrostatic tension
    • Willams, M. L.; Schapery, R. A. (1965): Spherical flaw instability in hydrostatic tension, Int. J. Fracture Mechanics, vol. 1, pp. 64-71.
    • (1965) Int. J. Fracture Mechanics , vol.1 , pp. 64-71
    • Willams, M.L.1    Schapery, R.A.2
  • 14
    • 27644591863 scopus 로고    scopus 로고
    • Study on cavitated bifurcation problems for spheres composed of Hyper-elastic materials
    • Yuan, X. G.; Zhu, Z. Y.; Cheng, C. J. (2005a): Study on Cavitated Bifurcation problems for Spheres Composed of Hyper-elastic Materials, Int. J. Engin. Math., vol. 51, pp. 15-34.
    • (2005) Int. J. Engin. Math. , vol.51 , pp. 15-34
    • Yuan, X.G.1    Zhu, Z.Y.2    Cheng, C.J.3
  • 15
    • 25144476593 scopus 로고    scopus 로고
    • Qualitative analysis of dynamical behavior for an imperfect incompressible neo-Hookean spherical shell
    • Yuan, X. G.; Zhu, Z. Y.; Cheng, C. J. (2005b): Qualitative analysis of dynamical behavior for an imperfect incompressible neo-Hookean spherical shell, Applied Mathematics and Mechanics (English Edition), vol. 26, pp. 973-981.
    • (2005) Applied Mathematics and Mechanics (English Edition) , vol.26 , pp. 973-981
    • Yuan, X.G.1    Zhu, Z.Y.2    Cheng, C.J.3
  • 16
    • 27644481223 scopus 로고    scopus 로고
    • Effect of constitutive parameters on cavity formation and growth in a class of incompressible transversely isotropic nonlinearly elastic solid spheres
    • Yuan, X. G.; Zhang, R. J. (2005): Effect of constitutive parameters on cavity formation and growth in a class of incompressible transversely isotropic nonlinearly elastic solid spheres, CMC: Computers, Materials & Continua, vol. 2, pp. 201-211.
    • (2005) CMC: Computers, Materials & Continua , vol.2 , pp. 201-211
    • Yuan, X.G.1    Zhang, R.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.