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Volumn 129, Issue 5, 1999, Pages 1081-1105

On isotropic rank 1 convex functions

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EID: 22844454228     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500031085     Document Type: Article
Times cited : (27)

References (20)
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    • Aubert, G.1
  • 2
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    • Sur la faible fermeture de certains ensembles de contrainte en élasticité non-linéaire plane
    • G. Aubert and R. Tahraoui. Sur la faible fermeture de certains ensembles de contrainte en élasticité non-linéaire plane. C. R. Acad. Sci. Paris 290 (1980), 537-540
    • (1980) C. R. Acad. Sci. Paris , vol.290 , pp. 537-540
    • Aubert, G.1    Tahraoui, R.2
  • 3
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    • Convexity conditions and existence theorems in nonlinear elasticity
    • J. M. Ball. Convexity conditions and existence theorems in nonlinear elasticity. Arch. Ration. Mech. Analysis 63 (1977), 337-403.
    • (1977) Arch. Ration. Mech. Analysis , vol.63 , pp. 337-403
    • Ball, J.M.1
  • 4
    • 84972553380 scopus 로고
    • Differentiability properties of symmetric and isotropic functions
    • J. M. Ball. Differentiability properties of symmetric and isotropic functions. Duke Math. J. 51 (1984), 699-728.
    • (1984) Duke Math. J. , vol.51 , pp. 699-728
    • Ball, J.M.1
  • 6
    • 0003150111 scopus 로고
    • A theorem of tensor calculus and its application to isotropic elasticity
    • P. Chadwick and R. W. Ogden. A theorem of tensor calculus and its application to isotropic elasticity. Arch. Ration. Mech. Analysis 44 (1971), 54-68.
    • (1971) Arch. Ration. Mech. Analysis , vol.44 , pp. 54-68
    • Chadwick, P.1    Ogden, R.W.2
  • 9
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    • An inversion formula and fast algorithms for Cauchy-Vandermonde matrices
    • T. Finck, G. Heinig and K. Rost. An inversion formula and fast algorithms for Cauchy-Vandermonde matrices. Linear Algebra Appl. 183 (1993), 179-191.
    • (1993) Linear Algebra Appl. , vol.183 , pp. 179-191
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  • 12
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    • On the failure of ellipticity of the equations for finite elastostatic plane strain
    • J. K. Knowles and E. Sternberg. On the failure of ellipticity of the equations for finite elastostatic plane strain. Arch. Ration. Mech. Analysis 63 (1977), 321-326.
    • (1977) Arch. Ration. Mech. Analysis , vol.63 , pp. 321-326
    • Knowles, J.K.1    Sternberg, E.2
  • 15
    • 0025531963 scopus 로고
    • Ellipticity and deformations with discontinuous gradients in finite elastostatics
    • P. Rosakis. Ellipticity and deformations with discontinuous gradients in finite elastostatics. Arch. Ration. Mech. Analysis 109 (1990), 1-37.
    • (1990) Arch. Ration. Mech. Analysis , vol.109 , pp. 1-37
    • Rosakis, P.1
  • 18
    • 0001963996 scopus 로고    scopus 로고
    • Convexity conditions for rotationally invariant functions in two dimensions
    • (ed. A. Sequeira, H. Beirao da Veiga and J. Videman) Deventer: Kluwer
    • M. Šilhavý. Convexity conditions for rotationally invariant functions in two dimensions. Applied Nonlinear Analysis (ed. A. Sequeira, H. Beirao da Veiga and J. Videman) (Deventer: Kluwer, 1999).
    • (1999) Applied Nonlinear Analysis
    • Šilhavý, M.1
  • 19
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    • On copositive matrices and strong ellipticity for isotropic elastic materials
    • H. C. Simpson and S. Spector. On copositive matrices and strong ellipticity for isotropic elastic materials. Arch. Ration. Mech. Analysis 84 (1983), 55-68.
    • (1983) Arch. Ration. Mech. Analysis , vol.84 , pp. 55-68
    • Simpson, H.C.1    Spector, S.2
  • 20
    • 0342512067 scopus 로고    scopus 로고
    • Confluent Cauchy and Cauchy-Vandermonde matrices
    • Z. Vavřín. Confluent Cauchy and Cauchy-Vandermonde matrices. Linear Algebra Appl. 258 (1997), 271-293.
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    • Vavřín, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.