메뉴 건너뛰기




Volumn 56, Issue 5, 2007, Pages 2413-2438

Convergence of equilibria of planar thin elastic beams

Author keywords

Dimension reduction; Equilibrium configurations; Nonlinear elasticity; Stationary points; Thin beams

Indexed keywords


EID: 39049098894     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.2007.56.3023     Document Type: Article
Times cited : (24)

References (18)
  • 1
    • 39049093449 scopus 로고    scopus 로고
    • Thesis, University of Leipzig
    • S. CONTI, Habilitation Thesis, University of Leipzig, 2003.
    • (2003) Habilitation
    • CONTI, S.1
  • 2
    • 84875116470 scopus 로고    scopus 로고
    • Confining thin elastic sheets and folding paper
    • to appear
    • S. CONTI and F. MAGGI, Confining thin elastic sheets and folding paper, Arch. Ration. Mech. Anal. (to appear).
    • Arch. Ration. Mech. Anal
    • CONTI, S.1    MAGGI, F.2
  • 6
    • 0000312494 scopus 로고
    • The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
    • English, with English and French summaries, MR 1365259 97d:73009
    • H. LE DRET and A. RAOULT, The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity, J. Math. Pures Appl. (9) 74 (1995), 549-578. MR 1365259 (97d:73009) (English, with English and French summaries)
    • (1995) J. Math. Pures Appl. (9) , vol.74 , pp. 549-578
    • LE DRET, H.1    RAOULT, A.2
  • 7
    • 0000708610 scopus 로고
    • A Luzin type property of Sobolev functions
    • 56 #8782
    • F. C. LIU, A Luzin type property of Sobolev functions, Indiana Univ. Math. J. 26 (1977), 645-651, http://dx.doi.org/10.1512/ iumj.1977.26.26051. MR 0450488 (56 #8782)
    • (1977) Indiana Univ. Math. J , vol.26 , pp. 645-651
    • LIU, F.C.1
  • 8
    • 0001247349 scopus 로고
    • Scaling properties of stretching ridges in a crumpled elastic sheet
    • A. LOBKOVSKY, S. GENTGES, H. LI, D. MORSE, and T. A. WITTEN, Scaling properties of stretching ridges in a crumpled elastic sheet, Science 270 (1995), 1482-1485, http://dx.doi.org/10.1126/science.270.5241.1482.
    • (1995) Science , vol.270 , pp. 1482-1485
    • LOBKOVSKY, A.1    GENTGES, S.2    LI, H.3    MORSE, D.4    WITTEN, T.A.5
  • 9
    • 84971710296 scopus 로고
    • On Saint-Venant's problem for an elastic strip
    • MR 963848 89j:73022
    • A. MIELKE, On Saint-Venant's problem for an elastic strip, Proc. Roy. Soc. Edinburgh Sect. A 110 (1988), 161-181. MR 963848 (89j:73022)
    • (1988) Proc. Roy. Soc. Edinburgh Sect. A , vol.110 , pp. 161-181
    • MIELKE, A.1
  • 10
    • 0242467418 scopus 로고    scopus 로고
    • M. G. MORA and S. MÜLLER, Derivation of the nonlinear bending-torsion theory for inextensible rods by Γ- convergence, Calc. Var. Partial Differential Equations 18 (2003), 287-305. MR 2018669 (2005j:74022)
    • M. G. MORA and S. MÜLLER, Derivation of the nonlinear bending-torsion theory for inextensible rods by Γ- convergence, Calc. Var. Partial Differential Equations 18 (2003), 287-305. MR 2018669 (2005j:74022)
  • 11
    • 0001458217 scopus 로고
    • Compacité par compensation
    • MR 506997 80h:46043a, French
    • F. MURAT, Compacité par compensation, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 5 (1978), 489-507. MR 506997 (80h:46043a) (French)
    • (1978) Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) , vol.5 , pp. 489-507
    • MURAT, F.1
  • 12
    • 0012990486 scopus 로고    scopus 로고
    • O. PANTZ, Une justification partielle du modèle de plaque en flexion par Γ-convergence, C. R. Acad. Sci. Paris Sér. I Math. 332 (2001), 587-592. MR 1834074 (2002c:74046) (French, with English and French summaries)
    • O. PANTZ, Une justification partielle du modèle de plaque en flexion par Γ-convergence, C. R. Acad. Sci. Paris Sér. I Math. 332 (2001), 587-592. MR 1834074 (2002c:74046) (French, with English and French summaries)
  • 14
    • 84875122990 scopus 로고    scopus 로고
    • E. M. STEIN, Singular Integrals and Differentiability Properties of Functions, Princeton Mathematical Series, No. 30, Princeton University Press, Princeton, N.J., 1970. MR 0290095 (44 #7280)
    • E. M. STEIN, Singular Integrals and Differentiability Properties of Functions, Princeton Mathematical Series, No. 30, Princeton University Press, Princeton, N.J., 1970. MR 0290095 (44 #7280)
  • 18
    • 0003320023 scopus 로고
    • Weakly Differentiable Functions
    • Springer-Verlag, New York, ISBN 0-387-97017-7, Sobolev spaces and functions of bounded variation. MR 1014685 91e:46046
    • William P. ZIEMER, Weakly Differentiable Functions, Graduate Texts in Mathematics, vol. 120, Springer-Verlag, New York, 1989, ISBN 0-387-97017-7, Sobolev spaces and functions of bounded variation. MR 1014685 (91e:46046)
    • (1989) Graduate Texts in Mathematics , vol.120
    • ZIEMER, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.