메뉴 건너뛰기




Volumn 21, Issue 3, 2004, Pages 271-293

A nonlinear model for inextensible rods as a low energy Γ-limit of three-dimensional nonlinear elasticity

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; DEFORMATION; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS;

EID: 2642552346     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpc.2003.08.001     Document Type: Article
Times cited : (79)

References (17)
  • 1
    • 0000640052 scopus 로고
    • A variational definition for the strain energy of an elastic string
    • Acerbi E., Buttazzo G., Percivale D. A variational definition for the strain energy of an elastic string. J. Elasticity. 25:1991;137-148.
    • (1991) J. Elasticity , vol.25 , pp. 137-148
    • Acerbi, E.1    Buttazzo, G.2    Percivale, D.3
  • 2
    • 0001493728 scopus 로고
    • The Theory of Rods
    • Springer-Verlag
    • Antman S.S. The Theory of Rods. Handbuch der Physik. vol. VIa:1972;Springer-Verlag.
    • (1972) Handbuch der Physik , vol.6 A
    • Antman, S.S.1
  • 4
    • 0023846619 scopus 로고
    • Asymptotic theory and analysis for displacements and stress distribution in nonlinear elastic straight slender rods
    • Cimetière A., Geymonat G., Le Dret H., Raoult A., Tutek Z. Asymptotic theory and analysis for displacements and stress distribution in nonlinear elastic straight slender rods. J. Elasticity. 19:1988;111-161.
    • (1988) J. Elasticity , vol.19 , pp. 111-161
    • Cimetière, A.1    Geymonat, G.2    Le Dret, H.3    Raoult, A.4    Tutek, Z.5
  • 6
    • 0036384329 scopus 로고    scopus 로고
    • A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
    • Friesecke G., James R.D., Müller S. A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity. Comm. Pure Appl. Math. 55:2002;1461-1506.
    • (2002) Comm. Pure Appl. Math. , vol.55 , pp. 1461-1506
    • Friesecke, G.1    James, R.D.2    Müller, S.3
  • 7
    • 0038526266 scopus 로고    scopus 로고
    • The Föppl von Kármán plate theory as a low energy Γ -limit of nonlinear elasticity
    • Friesecke G., James R.D., Müller S. The Föppl von Kármán plate theory as a low energy Γ -limit of nonlinear elasticity. C. R. Acad. Sci. Paris, Ser. I. 335:2002;201-206.
    • (2002) C. R. Acad. Sci. Paris, Ser. I , vol.335 , pp. 201-206
    • Friesecke, G.1    James, R.D.2    Müller, S.3
  • 9
    • 84948377536 scopus 로고
    • Über das Gleichgewicht und die Bewegungen eines unendlich dünnen Stabes
    • Kirchhoff G. Über das Gleichgewicht und die Bewegungen eines unendlich dünnen Stabes. J. Reine Angew. Math. (Crelle). 56:1859;285-313.
    • (1859) J. Reine Angew. Math. (Crelle) , vol.56 , pp. 285-313
    • Kirchhoff, G.1
  • 10
    • 84971710296 scopus 로고
    • On Saint-Venant's problem for an elastic strip
    • Mielke A. On Saint-Venant's problem for an elastic strip. Proc. Roy. Soc. Edinburgh Sect. A. 110:1988;161-181.
    • (1988) Proc. Roy. Soc. Edinburgh Sect. A , vol.110 , pp. 161-181
    • Mielke, A.1
  • 11
    • 0037570112 scopus 로고
    • Saint-Venant's problem and semi-inverse solutions in nonlinear elasticity
    • Mielke A. Saint-Venant's problem and semi-inverse solutions in nonlinear elasticity. Arch. Rational Mech. Anal. 102:1988;205-229.
    • (1988) Arch. Rational Mech. Anal. , vol.102 , pp. 205-229
    • Mielke, A.1
  • 12
    • 84995362284 scopus 로고    scopus 로고
    • Derivation of the nonlinear bending-torsion theory for inextensible rods by Γ -convergence
    • in press
    • M.G. Mora, S. Müller, Derivation of the nonlinear bending-torsion theory for inextensible rods by Γ -convergence, Calc. Var., in press.
    • Calc. Var.
    • Mora, M.G.1    Müller, S.2
  • 13
    • 0032614977 scopus 로고    scopus 로고
    • Comportement asymptotique des solutions du système de l'élasticité linéarisée anisotrope hétérogène dans des cylindres minces
    • Murat F., Sili A. Comportement asymptotique des solutions du système de l'élasticité linéarisée anisotrope hétérogène dans des cylindres minces. C. R. Acad. Sci. Paris, Sér. I Math. 328:1999;179-184.
    • (1999) C. R. Acad. Sci. Paris, Sér. I Math. , vol.328 , pp. 179-184
    • Murat, F.1    Sili, A.2
  • 14
    • 0034654746 scopus 로고    scopus 로고
    • Effets non locaux dans le passage 3d-1d en élasticité linéarisée anisotrope hétérogène
    • Murat F., Sili A. Effets non locaux dans le passage 3d-1d en élasticité linéarisée anisotrope hétérogène. C. R. Acad. Sci. Paris, Sér. I Math. 330:2000;745-750.
    • (2000) C. R. Acad. Sci. Paris, Sér. I Math. , vol.330 , pp. 745-750
    • Murat, F.1    Sili, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.