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Volumn 4, Issue 4, 1999, Pages 395-405

A note on Ericksen's problem for radially symmetric deformations

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; ELASTICITY; INTEGRAL EQUATIONS; LINEARIZATION; MATHEMATICAL TRANSFORMATIONS; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIALS; PROBLEM SOLVING; STRAIN;

EID: 0033340008     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/108128659900400401     Document Type: Article
Times cited : (5)

References (17)
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    • Ericksen, J.L.1
  • 2
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    • Introduction to nonlinear elasticity
    • eds., M. M. Carroll and M. A. Hayes, Plenum Press, New York
    • Beatty, M. F.: Introduction to nonlinear elasticity, in Nonlinear Effects in Fluids and Solids, pp. 13-112, eds., M. M. Carroll and M. A. Hayes, Plenum Press, New York, 1996.
    • (1996) Nonlinear Effects in Fluids and Solids , pp. 13-112
    • Beatty, M.F.1
  • 3
    • 0032025547 scopus 로고    scopus 로고
    • Constrained elastic bodies and universal solutions in the class of plane deformations with uniform transverse stretch
    • Martins, L. C. and Duda, F. P.: Constrained elastic bodies and universal solutions in the class of plane deformations with uniform transverse stretch. Math. Mech. Solids, 3, 91-106 (1998).
    • (1998) Math. Mech. Solids , vol.3 , pp. 91-106
    • Martins, L.C.1    Duda, F.P.2
  • 4
    • 0041799903 scopus 로고
    • Universal deformations in isotropic incompressible hyperelastic materials when the deformation tensor has equal proper values
    • Corrigenda, Arch. Rat. Mech. Anal., 38, 406 (1970)
    • Marris, A. and Shiau, J.: Universal deformations in isotropic incompressible hyperelastic materials when the deformation tensor has equal proper values. Arch. Rat. Mech. Anal., 36, 135-160 (1970). Corrigenda, Arch. Rat. Mech. Anal., 38, 406 (1970)
    • (1970) Arch. Rat. Mech. Anal. , vol.36 , pp. 135-160
    • Marris, A.1    Shiau, J.2
  • 6
    • 0016520339 scopus 로고
    • Universal deformations in incompressible isotropic elastic materials
    • Marris, A. W.: Universal deformations in incompressible isotropic elastic materials. J. Elasticity, 5, 111-128 (1975).
    • (1975) J. Elasticity , vol.5 , pp. 111-128
    • Marris, A.W.1
  • 7
    • 0342406958 scopus 로고
    • Two new theorems on Ericksen's problem
    • Marris, A. W.: Two new theorems on Ericksen's problem. Arch. Rat. Mech. Anal., 79, 131-173 (1982).
    • (1982) Arch. Rat. Mech. Anal. , vol.79 , pp. 131-173
    • Marris, A.W.1
  • 8
    • 0000269383 scopus 로고
    • Two families of finite deformations with constant strain invariants
    • Yin, W.-L.: Two families of finite deformations with constant strain invariants. Mech. Research Communications, 10, 127-132 (1983).
    • (1983) Mech. Research Communications , vol.10 , pp. 127-132
    • Yin, W.-L.1
  • 9
    • 0004881312 scopus 로고
    • On Ericksen's problem for plane deformations with uniform transverse stretch
    • Fosdick, R. L. and Schuler, K. W.: On Ericksen's problem for plane deformations with uniform transverse stretch. Int. J. Eng. Sci., 7, 217-233 (1969).
    • (1969) Int. J. Eng. Sci. , vol.7 , pp. 217-233
    • Fosdick, R.L.1    Schuler, K.W.2
  • 10
    • 0343276674 scopus 로고
    • Statically possible radially symmetric deformations in isotropic incompressible elastic solids
    • Fosdick, R. L.: Statically possible radially symmetric deformations in isotropic incompressible elastic solids. J. Appl. Math. Phys. (ZAMP), 22, 590-607 (1971).
    • (1971) J. Appl. Math. Phys. (ZAMP) , vol.22 , pp. 590-607
    • Fosdick, R.L.1
  • 12
    • 0020195086 scopus 로고
    • On static similarity deformations for isotropic materials
    • Hill, J. M.: On static similarity deformations for isotropic materials. Q. J. Appl. Math., 40, 287-292 (1982).
    • (1982) Q. J. Appl. Math. , vol.40 , pp. 287-292
    • Hill, J.M.1
  • 13
    • 0343190128 scopus 로고
    • New families of exact solutions for finitely deformed incompressible elastic materials
    • Hill, J. M. and Arrigo, D. J.: New families of exact solutions for finitely deformed incompressible elastic materials. IMA J. Appl. Math., 54, 109-123 (1995).
    • (1995) IMA J. Appl. Math. , vol.54 , pp. 109-123
    • Hill, J.M.1    Arrigo, D.J.2
  • 14
    • 0030173943 scopus 로고    scopus 로고
    • Transformations and equation reductions in finite elasticity I: Plane strain deformations
    • Hill, J. M. and Arrigo, D. J.: Transformations and equation reductions in finite elasticity I: Plane strain deformations. Math. Mech. Solids, 1, 155-175 (1996).
    • (1996) Math. Mech. Solids , vol.1 , pp. 155-175
    • Hill, J.M.1    Arrigo, D.J.2
  • 15
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    • Transformations and equation reductions in finite elasticity II: Plane stress and axially symmetric deformations
    • Arrigo, D. J. and Hill, J. M.: Transformations and equation reductions in finite elasticity II: Plane stress and axially symmetric deformations. Math. Mech. Solids, 1, 177-192 (1996).
    • (1996) Math. Mech. Solids , vol.1 , pp. 177-192
    • Arrigo, D.J.1    Hill, J.M.2
  • 16
    • 0033099117 scopus 로고    scopus 로고
    • Transformations and equation reductions in finite elasticity III: A general integral for plane strain deformations
    • Hill, J. M. and Arrigo, D. J.: Transformations and equation reductions in finite elasticity III: A general integral for plane strain deformations. Math. Mech. Solids, 4, 3-15 (1999).
    • (1999) Math. Mech. Solids , vol.4 , pp. 3-15
    • Hill, J.M.1    Arrigo, D.J.2
  • 17
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    • Hill, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.