메뉴 건너뛰기




Volumn 2, Issue 3, 2003, Pages 521-549

Some remarks on the theory of elasticity for compressible Neohookean materials

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33745642518     PISSN: 0391173X     EISSN: 20362145     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (72)

References (17)
  • 2
    • 0003722380 scopus 로고    scopus 로고
    • Functions of bounded variation and free discontinuity problems
    • Clarendon Press, Oxford
    • L. Ambrosio - N. Fusco - D. Pallara, “Functions of bounded variation and free discontinuity problems”, Oxford Mathematical Monographs, Clarendon Press, Oxford, 2000.
    • (2000) Oxford Mathematical Monographs
    • Ambrosio, L.1    Fusco, N.2    Pallara, D.3
  • 3
    • 0017417265 scopus 로고
    • Convexity conditions and existence theorems in nonlinear elasticity
    • J. M. Ball, Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rational Mech. Anal. 63 (1977), 337-403.
    • (1977) Arch. Rational Mech. Anal. , vol.63 , pp. 337-403
    • Ball, J.M.1
  • 4
    • 0019902788 scopus 로고
    • Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
    • A
    • J. M. Ball, Discontinuous equilibrium solutions and cavitation in nonlinear elasticity, Philos. Trans. Roy. Soc. London 306 A (1982), 557-611.
    • (1982) Philos. Trans. Roy. Soc. London , vol.306 , pp. 557-611
    • Ball, J.M.1
  • 5
    • 84974265584 scopus 로고
    • Maximal smoothness of solutions to certain Euler-Lagrange equations from nonlinear elasticity
    • P. Bauman - D. Phillips - N. C. Owen, Maximal smoothness of solutions to certain Euler-Lagrange equations from nonlinear elasticity, Proc. Roy. Soc. Edinburgh 119 A (1991), 241-263.
    • (1991) Proc. Roy. Soc. Edinburgh , vol.119 , Issue.A , pp. 241-263
    • Bauman, P.1    Phillips, D.2    Owen, N.C.3
  • 6
    • 0000875123 scopus 로고
    • Degree theory and BMO: Part 1, compact manifolds without boudaries
    • H. Brezis - L. Nirenberg, Degree theory and BMO: Part 1, compact manifolds without boudaries, Selecta Math. (N.S.) 1 (1995), 197-263.
    • (1995) Selecta Math. (N.S.) , vol.1 , pp. 197-263
    • Brezis, H.1    Nirenberg, L.2
  • 7
    • 0023089243 scopus 로고
    • Injectivity and self-contact in nonlinear elasticity
    • P. G. Ciarlet - J. Nečas, Injectivity and self-contact in nonlinear elasticity, Arch. Rational Mech. Anal. 97 (1987), 171-188.
    • (1987) Arch. Rational Mech. Anal. , vol.97 , pp. 171-188
    • Ciarlet, P.G.1    Nečas, J.2
  • 8
    • 84902738914 scopus 로고
    • On a partial differential equation involving the jacobian determinat
    • B. Dacorogna - J. Moser, On a partial differential equation involving the jacobian determinat, Ann. IHP Anal. Non Lin. 7 (1990), 1-26.
    • (1990) Ann. IHP Anal. Non Lin. , vol.7 , pp. 1-26
    • Dacorogna, B.1    Moser, J.2
  • 9
    • 0037119544 scopus 로고    scopus 로고
    • Some fine properties of currents and applications to distributional Jacobians
    • A
    • C. De Lellis, Some fine properties of currents and applications to distributional Jacobians, Proc. Roy. Soc. Edinburgh 132 A (2002), 815-842.
    • (2002) Proc. Roy. Soc. Edinburgh , vol.132 , pp. 815-842
    • De Lellis, C.1
  • 10
    • 0003418232 scopus 로고
    • Geometric measure theory
    • Springer Verlag, Berlin
    • H. Federer, “Geometric measure theory”, Classics in Mathematics, Springer Verlag, Berlin, 1969.
    • (1969) Classics in Mathematics
    • Federer, H.1
  • 13
    • 84972048189 scopus 로고
    • Weak lower semicontinuity of polyconvex integrals
    • A
    • J. Malý, Weak lower semicontinuity of polyconvex integrals, Proc. Roy. Soc. Edinburgh 123 A (1993), 681-691.
    • (1993) Proc. Roy. Soc. Edinburgh , vol.123 , pp. 681-691
    • Malý, J.1
  • 14
    • 51249163005 scopus 로고
    • Lower semicontinuity of quasiconvex integrals
    • J. Malý, Lower semicontinuity of quasiconvex integrals, Manuscripta Math. 85 (1994), 419-428.
    • (1994) Manuscripta Math , vol.85 , pp. 419-428
    • Malý, J.1
  • 15
    • 21844493491 scopus 로고
    • An existence theory for nonlinear elasticity that allows for cavitation
    • S. Müller - S. Spector, An existence theory for nonlinear elasticity that allows for cavitation, Arch. Rat. Mech. Anal. 131 (1995), 1-66.
    • (1995) Arch. Rat. Mech. Anal. , vol.131 , pp. 1-66
    • Müller, S.1    Spector, S.2
  • 16
    • 0034461032 scopus 로고    scopus 로고
    • On the optimal location of singularities arising in variational problems of nonlinear elasticity
    • J. Sivaloganathan - S. Spector, On the optimal location of singularities arising in variational problems of nonlinear elasticity, J. of Elast. 58 (2000), 191-224.
    • (2000) J. Of Elast. , vol.58 , pp. 191-224
    • Sivaloganathan, J.1    Spector, S.2
  • 17
    • 0001711623 scopus 로고
    • Regularity properties of deformations with finite energy
    • V. Šverák, Regularity properties of deformations with finite energy, Arch. Rat. Mech. Anal. 100 (1988), 105-127.
    • (1988) Arch. Rat. Mech. Anal. , vol.100 , pp. 105-127
    • Šverák, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.