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Volumn 40, Issue 2-3, 2005, Pages 255-270

Puncturing a thin elastic sheet

Author keywords

Cavitation; Elastic membranes; Puncturing

Indexed keywords

CAVITATION; FRICTION; FUNCTIONS; INDENTATION; MEMBRANES; PIERCING; SET THEORY; STRESS ANALYSIS;

EID: 6344231619     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2004.05.009     Document Type: Article
Times cited : (27)

References (29)
  • 1
    • 0019902788 scopus 로고
    • Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
    • Ball J.M. Discontinuous equilibrium solutions and cavitation in nonlinear elasticity. Philos. Trans. R. Soc. London A. 306:1982;557.
    • (1982) Philos. Trans. R. Soc. London A , vol.306 , pp. 557
    • Ball, J.M.1
  • 2
    • 84997133578 scopus 로고
    • Cavitation in nonlinearly elastic solids: A review
    • Horgan C.O., Polignone D.A. Cavitation in nonlinearly elastic solids. a review Appl. Mech. Rev. 48:1995;471.
    • (1995) Appl. Mech. Rev. , vol.48 , pp. 471
    • Horgan, C.O.1    Polignone, D.A.2
  • 3
    • 0037247639 scopus 로고    scopus 로고
    • On cavitation, configurational forces and implications for fracture in a nonlinearly elastic material
    • Sivaloganathan J., Spector S.J. On cavitation, configurational forces and implications for fracture in a nonlinearly elastic material. J. Elasticity. 67:2002;25.
    • (2002) J. Elasticity , vol.67 , pp. 25
    • Sivaloganathan, J.1    Spector, S.J.2
  • 4
    • 0026913327 scopus 로고
    • Cavitation in elastic membranes - An example
    • Steigmann D.J. Cavitation in elastic membranes - an example. J. Elasticity. 28:1992;277.
    • (1992) J. Elasticity , vol.28 , pp. 277
    • Steigmann, D.J.1
  • 6
    • 0040034124 scopus 로고
    • On small deformations of surfaces and of thin elastic shells
    • Weatherburn C.E. On small deformations of surfaces and of thin elastic shells. Quart. J. Math. 50:1925;272.
    • (1925) Quart. J. Math. , vol.50 , pp. 272
    • Weatherburn, C.E.1
  • 7
    • 0010467529 scopus 로고
    • notes compiled by R.W. Dickey. New York: Courant Institute of Mathematical Science
    • Stoker J.J. Topics in Nonlinear Elasticity (notes compiled by R.W. Dickey). 1964;Courant Institute of Mathematical Science, New York.
    • (1964) Topics in Nonlinear Elasticity
    • Stoker, J.J.1
  • 8
    • 0000838996 scopus 로고
    • Theory of shells and plates
    • S. Flügge, (Ed.), Springer, Berlin
    • P.M. Naghdi, Theory of shells and plates, in: S. Flügge, (Ed.), Handbuch der Physik, Vol. VIa/2, Springer, Berlin, 1972, pp. 425-640.
    • (1972) Handbuch der Physik , vol.8 A , Issue.2 , pp. 425-640
    • Naghdi, P.M.1
  • 10
    • 77955278685 scopus 로고
    • The relaxed energy density for isotropic elastic membranes
    • Pipkin A.C. The relaxed energy density for isotropic elastic membranes. IMA J. Appl. Math. 36:1986;85.
    • (1986) IMA J. Appl. Math. , vol.36 , pp. 85
    • Pipkin, A.C.1
  • 12
    • 0010516983 scopus 로고    scopus 로고
    • Exact integrals and solutions for finite deformations of the incompressible Varga elastic materials
    • Y.B. Fu, & R.W. Ogden. Nonlinear Elasticity: Theory and Applications, Cambridge: Cambridge University Press
    • Hill J.M. Exact integrals and solutions for finite deformations of the incompressible Varga elastic materials. Fu Y.B., Ogden R.W. Nonlinear Elasticity: Theory and Applications. London Mathematical Society, Lecture Note Series. Vol. 283:2001;160-200 Cambridge University Press, Cambridge.
    • (2001) London Mathematical Society, Lecture Note Series , vol.283 , pp. 160-200
    • Hill, J.M.1
  • 13
    • 0021942612 scopus 로고
    • Unilateral problems in nonlinear, three-dimensional elasticity
    • Ciarlet P.G., Nećas J. Unilateral problems in nonlinear, three-dimensional elasticity. Arch. Ration. Mech. Anal. 87:1985;319.
    • (1985) Arch. Ration. Mech. Anal. , vol.87 , pp. 319
    • Ciarlet, P.G.1    Nećas, J.2
  • 14
    • 0017417265 scopus 로고
    • Convexity conditions and existence theorems in nonlinear elasticity
    • Ball J.M. Convexity conditions and existence theorems in nonlinear elasticity. Arch. Ration. Mech. Anal. 63:1977;337.
    • (1977) Arch. Ration. Mech. Anal. , vol.63 , pp. 337
    • Ball, J.M.1
  • 15
    • 84972453494 scopus 로고
    • The Weierstrass condition for multiple integral variation problems
    • Graves L.M. The Weierstrass condition for multiple integral variation problems. Duke Math. J. 5:1939;656.
    • (1939) Duke Math. J. , vol.5 , pp. 656
    • Graves, L.M.1
  • 16
    • 0010479109 scopus 로고    scopus 로고
    • Elastic membranes
    • Y.B. Fu, & R.W. Ogden. Nonlinear Elasticity: Theory and Applications, Cambridge: Cambridge University Press
    • Haughton D.M. Elastic membranes. Fu Y.B., Ogden R.W. Nonlinear Elasticity: Theory and Applications. London Mathematical Society, Lecture Note Series. Vol. 283:2001;233-267 Cambridge University Press, Cambridge.
    • (2001) London Mathematical Society, Lecture Note Series , vol.283 , pp. 233-267
    • Haughton, D.M.1
  • 18
    • 0037774411 scopus 로고
    • On the complementary energy theorem in non-linear elasticity theory
    • G. Fichera (Ed.), Pitman, London
    • W.T. Koiter, On the complementary energy theorem in non-linear elasticity theory, in: G. Fichera (Ed.), Trends in Applications of Pure Mathematics to Mechanics, Vol. 2, Pitman, London, 1976, pp. 207-232.
    • (1976) Trends in Applications of Pure Mathematics to Mechanics , vol.2 , pp. 207-232
    • Koiter, W.T.1
  • 19
    • 0034144444 scopus 로고    scopus 로고
    • Application of variational principles to the axial extension of a circular cylindrical nonlinearly elastic membrane
    • Haddow J.B., Favre L., Ogden R.W. Application of variational principles to the axial extension of a circular cylindrical nonlinearly elastic membrane. J. Eng. Math. 37:2000;65.
    • (2000) J. Eng. Math. , vol.37 , pp. 65
    • Haddow, J.B.1    Favre, L.2    Ogden, R.W.3
  • 20
    • 0028166590 scopus 로고
    • Relaxed energy densities for large deformations of membranes
    • Pipkin A.C. Relaxed energy densities for large deformations of membranes. IMA J. Appl. Math. 52:1994;297.
    • (1994) IMA J. Appl. Math. , vol.52 , pp. 297
    • Pipkin, A.C.1
  • 21
    • 0032083912 scopus 로고    scopus 로고
    • Coupled deformations of elastic curves and surfaces
    • Atai A.A., Steigmann D.J. Coupled deformations of elastic curves and surfaces. Int. J. Solids Struct. 35:1998;1915.
    • (1998) Int. J. Solids Struct. , vol.35 , pp. 1915
    • Atai, A.A.1    Steigmann, D.J.2
  • 24
    • 0000298336 scopus 로고
    • Large elastic deformations of isotropic materials. I. Fundamental concepts
    • Rivlin R.S. Large elastic deformations of isotropic materials. I. Fundamental concepts. Philos. Trans. R. Soc. London. 44:1948;595.
    • (1948) Philos. Trans. R. Soc. London , vol.44 , pp. 595
    • Rivlin, R.S.1
  • 25
    • 84972349023 scopus 로고
    • Inequalities associated with the inversion of elastic stress-deformation relations and their implications
    • Ogden R.W. Inequalities associated with the inversion of elastic stress-deformation relations and their implications. Math. Proc. Cambridge Philos. Soc. 81:1977;313.
    • (1977) Math. Proc. Cambridge Philos. Soc. , vol.81 , pp. 313
    • Ogden, R.W.1
  • 26
    • 0032097878 scopus 로고    scopus 로고
    • On the existence of stretch for a prescribed stress in isotropic, incompressible elastic materials
    • Nordenholz T.R., O'Reilly O.M. On the existence of stretch for a prescribed stress in isotropic, incompressible elastic materials. Math. Mech. Solids. 3:1998;169.
    • (1998) Math. Mech. Solids , vol.3 , pp. 169
    • Nordenholz, T.R.1    O'reilly, O.M.2
  • 27
    • 85011913934 scopus 로고
    • Indentation of a circular membrane
    • Yang W.H., Hsu K.H. Indentation of a circular membrane. ASME J. Appl. Mech. 38:1971;227.
    • (1971) ASME J. Appl. Mech. , vol.38 , pp. 227
    • Yang, W.H.1    Hsu, K.H.2
  • 29
    • 0026398828 scopus 로고
    • Tension-field theories of elastic membranes and networks
    • R.C. Batra, G.P. MacSithigh, (Eds.), ASME AMD, The American Society of Mechanical Engineers, New York
    • D.J. Steigmann, Tension-field theories of elastic membranes and networks, in: R.C. Batra, G.P. MacSithigh, (Eds.), Recent Developments in Elasticity, ASME AMD-Vol. 124, The American Society of Mechanical Engineers, New York, 1991, pp. 41-49.
    • (1991) Recent Developments in Elasticity , vol.124 , pp. 41-49
    • Steigmann, D.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.