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Volumn 39, Issue 1, 2004, Pages 61-89

A 3D-1D young measure theory of an elastic string

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; FUNCTIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NUMERICAL METHODS;

EID: 4344568024     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (8)

References (20)
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    • Acerbi, E.1    Buttazzo, G.2    Percivale, D.3
  • 2
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  • 3
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    • Dimension reduction in variational problems, asymptotic development in Γ-convergence and thin structures in elasticity
    • G. Anzellotti, S. Baldo and D. Percivale, Dimension reduction in variational problems, asymptotic development in Γ-convergence and thin structures in elasticity, Asymptotic Anal. 9(1) (1994), 61-100.
    • (1994) Asymptotic Anal. , vol.9 , Issue.1 , pp. 61-100
    • Anzellotti, G.1    Baldo, S.2    Percivale, D.3
  • 4
    • 0000093666 scopus 로고
    • A version of the fundamental theorem for Young measures
    • Lecture Notes in Physics, Springer
    • J.M. Ball, A version of the fundamental theorem for Young measures, in: PDE's and Continuum Models of Phase Transitions, Lecture Notes in Physics, Vol. 359, Springer, 1989, pp. 207-215.
    • (1989) PDE's and Continuum Models of Phase Transitions , vol.359 , pp. 207-215
    • Ball, J.M.1
  • 5
    • 33750297145 scopus 로고
    • Fine phase mixtures as minimizers of energy
    • J.M. Ball and R.D. James, Fine phase mixtures as minimizers of energy, Arch. Rational Mech. Anal. 100(1) (1987), 13-52.
    • (1987) Arch. Rational Mech. Anal. , vol.100 , Issue.1 , pp. 13-52
    • Ball, J.M.1    James, R.D.2
  • 6
    • 0002854369 scopus 로고
    • Proposed experimental tests of a theory of fine microstructure and the two well problem
    • J.M. Ball and R.D. James, Proposed experimental tests of a theory of fine microstructure and the two well problem, Philos. Trans. Roy. Soc. London Ser. A 338 (1992), 389-450.
    • (1992) Philos. Trans. Roy. Soc. London Ser. A , vol.338 , pp. 389-450
    • Ball, J.M.1    James, R.D.2
  • 7
    • 0034425793 scopus 로고    scopus 로고
    • Relaxation of singular functionals defined on Sobolev spaces
    • H. Ben Belgacem, Relaxation of singular functionals defined on Sobolev spaces, ESAIM Control Optim. Calc. Var. 5 (2000), 71-85.
    • (2000) ESAIM Control Optim. Calc. Var. , vol.5 , pp. 71-85
    • Belgacem, H.B.1
  • 8
    • 0037872468 scopus 로고
    • The instability of slightly compressible rectangular solids under biaxial loadings
    • I.W. Burgess and M. Levinson, The instability of slightly compressible rectangular solids under biaxial loadings, Int. J. Solids Structures 8 (1972), 133-148.
    • (1972) Int. J. Solids Structures , vol.8 , pp. 133-148
    • Burgess, I.W.1    Levinson, M.2
  • 11
    • 0018322217 scopus 로고
    • A justification of the two-dimensional linear plate model
    • P.G. Ciarlet and P. Destuynder, A justification of the two-dimensional linear plate model, J. Mécanique 18(2) (1979), 315-344.
    • (1979) J. Mécanique , vol.18 , Issue.2 , pp. 315-344
    • Ciarlet, P.G.1    Destuynder, P.2
  • 13
    • 85047174310 scopus 로고    scopus 로고
    • The energy density of martensitic thin films via dimension reduction
    • to appear
    • L. Freddi and R. Paroni, The energy density of martensitic thin films via dimension reduction, Interface and Free Boundaries, to appear.
    • Interface and Free Boundaries
    • Freddi, L.1    Paroni, R.2
  • 15
    • 0001737632 scopus 로고
    • Large deformation isotropic elasticity: On the correlation of the theory and experiment for compressible rubberlike solids
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    • Ogden, R.W.1
  • 16
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    • R.W. Ogden, Nonlinear Elastic Deformations, Ellis Horwood Series in Mathematics and its Applications, Wiley, 1984.
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  • 17
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  • 18
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    • (1984) Quart. Appl. Math. , vol.42 , Issue.1 , pp. 99-111
    • Simpson, H.C.1    Spector, S.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.