메뉴 건너뛰기




Volumn 183, Issue 2, 2007, Pages 241-297

Cauchy-Born rule and the stability of crystalline solids: Static problems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33846861564     PISSN: 00039527     EISSN: 14320673     Source Type: Journal    
DOI: 10.1007/s00205-006-0031-7     Document Type: Review
Times cited : (196)

References (30)
  • 2
    • 84980080664 scopus 로고
    • Estimates near the boundary for solutions of elliptic partial differential equations satisfying boundary condition, II
    • Agmon S., Douglas A., Nirenberg L. (1964) Estimates near the boundary for solutions of elliptic partial differential equations satisfying boundary condition, II. Comm. Pure Appl. Math. 17, 35-92
    • (1964) Comm. Pure Appl. Math. , vol.17 , pp. 35-92
    • Agmon, S.1    Douglas, A.2    Nirenberg, L.3
  • 4
    • 0002854369 scopus 로고
    • Proposed experimental tests of a theory of fine microstructure and the two-well problem
    • Ball J.M., James R.D. (1992) Proposed experimental tests of a theory of fine microstructure and the two-well problem. Phil. Trans. R. Soc. Lond. A 338, 389-450
    • (1992) Phil. Trans. R. Soc. Lond. A , vol.338 , pp. 389-450
    • Ball, J.M.1    James, R.D.2
  • 7
    • 0033411059 scopus 로고    scopus 로고
    • Variational formulation of softening phenomena in fracture mechanics: The one-dimensional case
    • Braides A., Dal Maso G., Garroni A. (1999) Variational formulation of softening phenomena in fracture mechanics: The one-dimensional case. Arch. Ration. Mech. Anal. 146, 23-58
    • (1999) Arch. Ration. Mech. Anal. , vol.146 , pp. 23-58
    • Braides, A.1    Dal Maso, G.2    Garroni, A.3
  • 8
    • 4244024430 scopus 로고
    • Semiempirical, quantum mechanical calculation of hydrogen embrittlement in metals
    • Daw M.S., Baskes M.I. (1983) Semiempirical, quantum mechanical calculation of hydrogen embrittlement in metals. Phys. Rev. Lett. 50, 1285-1288
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 1285-1288
    • Daw, M.S.1    Baskes, M.I.2
  • 9
    • 4244079381 scopus 로고
    • Embedded-atom method: Derivation and application to impurities, surfaces, and other defects in metals
    • Daw M.S., Baskes M.I. (1984) Embedded-atom method: Derivation and application to impurities, surfaces, and other defects in metals. Phys. Rev. B 29, 6443-6453
    • (1984) Phys. Rev. B , vol.29 , pp. 6443-6453
    • Daw, M.S.1    Baskes, M.I.2
  • 10
    • 3042742574 scopus 로고    scopus 로고
    • Analysis of multiscale methods
    • E W., Ming P. (2004) Analysis of multiscale methods, J. Comput. Math. 22, 210-219
    • (2004) J. Comput. Math. , vol.22 , pp. 210-219
    • E, W.1    Ming, P.2
  • 14
    • 0042964912 scopus 로고    scopus 로고
    • Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice
    • Friesecke G., Theil F. (2002) Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice. J. Nonlinear Sci. 12, 445-478
    • (2002) J. Nonlinear Sci. , vol.12 , pp. 445-478
    • Friesecke, G.1    Theil, F.2
  • 15
    • 29144453140 scopus 로고
    • Effect of invariance requirements on the elastic strain energy of crystals with application to the diamond structure
    • Keating P.N. (1965) Effect of invariance requirements on the elastic strain energy of crystals with application to the diamond structure. Phys. Rev. 145, 637-645
    • (1965) Phys. Rev. , vol.145 , pp. 637-645
    • Keating, P.N.1
  • 18
    • 0002142552 scopus 로고
    • Symmetry properties of the normal vibrations of a crystal
    • Maradudin A.A., Vosko S.H. (1968) Symmetry properties of the normal vibrations of a crystal. Rev. Modern Phys. 40, 1-37
    • (1968) Rev. Modern Phys. , vol.40 , pp. 1-37
    • Maradudin, A.A.1    Vosko, S.H.2
  • 20
    • 0001473461 scopus 로고
    • The Cauchy relations in a molecular theory of elasticity
    • Stakgold I. (1950) The Cauchy relations in a molecular theory of elasticity. Quart. Appl. Math. 8, 169-186
    • (1950) Quart. Appl. Math. , vol.8 , pp. 169-186
    • Stakgold, I.1
  • 21
    • 4243754961 scopus 로고
    • Computer simulation of local order in condensed phases of silicon
    • Stillinger F.H., Weber T.A. (1985) Computer simulation of local order in condensed phases of silicon. Phys. Rev. B 31, 5262-5271
    • (1985) Phys. Rev. B , vol.31 , pp. 5262-5271
    • Stillinger, F.H.1    Weber, T.A.2
  • 22
    • 33748538768 scopus 로고
    • Accurate partial difference methods. II: Non-linear problems
    • Strang G. (1964) Accurate partial difference methods. II: Non-linear problems. Numer. Math. 6, 37-46
    • (1964) Numer. Math. , vol.6 , pp. 37-46
    • Strang, G.1
  • 23
    • 4243420264 scopus 로고
    • Empirical interatomistic potential for carbon, with applications to amorphous carbon
    • Tersoff J. (1988) Empirical interatomistic potential for carbon, with applications to amorphous carbon. Phys. Rev. Lett. 61, 2879-2882
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 2879-2882
    • Tersoff, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.