메뉴 건너뛰기




Volumn 44, Issue 11, 1996, Pages 1891-1928

The influence of scale size on the stability of periodic solids and the role of associated higher order gradient continuum models

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY VALUE PROBLEMS; CONTINUUM MECHANICS; EIGENVALUES AND EIGENFUNCTIONS; FAILURE ANALYSIS; LOADS (FORCES); MATHEMATICAL MODELS; MICROSTRUCTURE; PHYSICAL PROPERTIES; STABILITY; STRESSES; TENSORS;

EID: 0030290932     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/0022-5096(96)00047-6     Document Type: Article
Times cited : (130)

References (24)
  • 1
    • 0021497042 scopus 로고
    • An investigation of localization in a porous elastic material using homogenization theory
    • Abeyaratne, R. and Triantafyllidis, N. (1984) An investigation of localization in a porous elastic material using homogenization theory. J. Appl. Mech. 51, 481-486.
    • (1984) J. Appl. Mech. , vol.51 , pp. 481-486
    • Abeyaratne, R.1    Triantafyllidis, N.2
  • 2
    • 0021502102 scopus 로고
    • On the microstructural origin of certain inelastic models
    • Aifantis, E. C. (1984) On the microstructural origin of certain inelastic models. J. Engng Mater. Technol. 106, 326-330.
    • (1984) J. Engng Mater. Technol. , vol.106 , pp. 326-330
    • Aifantis, E.C.1
  • 3
    • 0023174893 scopus 로고
    • The physics of plastic deformation
    • Aifantis, E. C. (1987) The physics of plastic deformation. Int. J. Plasticity 3, 211-247.
    • (1987) Int. J. Plasticity , vol.3 , pp. 211-247
    • Aifantis, E.C.1
  • 4
    • 0028272692 scopus 로고
    • Derivation of higher order gradient continuum theories in 2,3-D non-linear elasticity from periodic lattice models
    • Bardenhagen, S. G. and Triantafyllidis, N. (1994) Derivation of higher order gradient continuum theories in 2,3-D non-linear elasticity from periodic lattice models. J. Mech. Phys. Solids 42, 111-139.
    • (1994) J. Mech. Phys. Solids , vol.42 , pp. 111-139
    • Bardenhagen, S.G.1    Triantafyllidis, N.2
  • 5
    • 0000223583 scopus 로고
    • Nonlocal continuum effects on bifurcation in the plane strain tension-compression test
    • Benallal, A. and Tvergaard, V. (1995) Nonlocal continuum effects on bifurcation in the plane strain tension-compression test. J. Mech. Phys. Solids 43, 741-770.
    • (1995) J. Mech. Phys. Solids , vol.43 , pp. 741-770
    • Benallal, A.1    Tvergaard, V.2
  • 6
    • 84953648079 scopus 로고
    • Application of finite elastic theory to the deformation of rubbery materials
    • Blatz, P. J. and Ko, W. L. (1962) Application of finite elastic theory to the deformation of rubbery materials. Trans. Soc. Rheol. 6, 223-251.
    • (1962) Trans. Soc. Rheol. , vol.6 , pp. 223-251
    • Blatz, P.J.1    Ko, W.L.2
  • 7
    • 33745445867 scopus 로고
    • Compressive failure of fiber composites
    • Budiansky, B. and Fleck, N. A. (1993) Compressive failure of fiber composites. J. Mech. Phys. Solids 41, 183-211.
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 183-211
    • Budiansky, B.1    Fleck, N.A.2
  • 8
    • 0027841038 scopus 로고
    • A phenomenological theory of strain gradient plasticity
    • Fleck, N. A. and Hutchinson, J. W. (1993) A phenomenological theory of strain gradient plasticity. J. Mech. Phys. Solids 41, 1825-1857.
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 1825-1857
    • Fleck, N.A.1    Hutchinson, J.W.2
  • 9
    • 21144480320 scopus 로고
    • Homogenization of nonlinearly clastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
    • Geymonant, G., Müller, S. and Triantafyllidis, N. (1993) Homogenization of nonlinearly clastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity. Arch. Rat. Mech. Anal. 122, 231-290.
    • (1993) Arch. Rat. Mech. Anal. , vol.122 , pp. 231-290
    • Geymonant, G.1    Müller, S.2    Triantafyllidis, N.3
  • 10
    • 0017417249 scopus 로고
    • Continuum theory of ductile rupture by void nucleation and growth - I
    • Gurson, A. L. (1977) Continuum theory of ductile rupture by void nucleation and growth - I. J. Engng Mater. Technol. 99, 2-15.
    • (1977) J. Engng Mater. Technol. , vol.99 , pp. 2-15
    • Gurson, A.L.1
  • 11
    • 27744574041 scopus 로고
    • A general theory of uniqueness and stability in elastic-plastic solids
    • Hill, R. (1958) A general theory of uniqueness and stability in elastic-plastic solids. J. Mech. Phys. Solids 6, 236-249.
    • (1958) J. Mech. Phys. Solids , vol.6 , pp. 236-249
    • Hill, R.1
  • 13
    • 0000083009 scopus 로고
    • Spatial patterns and size effects in shear zones: A hyperelastic model with higher-order gradients
    • Leroy, Y. M. and Molinari, A. (1993) Spatial patterns and size effects in shear zones: A hyperelastic model with higher-order gradients. J. Mech. Phys. Solids 41, 631-664.
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 631-664
    • Leroy, Y.M.1    Molinari, A.2
  • 14
    • 0040366845 scopus 로고
    • Micro-structure in linear elasticity
    • Mindlin, R. D. (1964) Micro-structure in linear elasticity. Arch. Rat. Mech. Anal. 16, 51-78.
    • (1964) Arch. Rat. Mech. Anal. , vol.16 , pp. 51-78
    • Mindlin, R.D.1
  • 15
    • 27744574041 scopus 로고
    • A general theory of uniqueness and stability in elastic-plastic solids
    • Muhlhaus, H. B. and Aifantis, E. C. (1991) A general theory of uniqueness and stability in elastic-plastic solids. J. Mech. Phys. Solids 6, 236-249.
    • (1991) J. Mech. Phys. Solids , vol.6 , pp. 236-249
    • Muhlhaus, H.B.1    Aifantis, E.C.2
  • 16
    • 34047178348 scopus 로고
    • Homogenization of nonconvex integral functionals and cellular elastic materials
    • Müller, S. (1987) Homogenization of nonconvex integral functionals and cellular elastic materials. Arch. Rat. Mech. Anal. 99, 189-212.
    • (1987) Arch. Rat. Mech. Anal. , vol.99 , pp. 189-212
    • Müller, S.1
  • 17
    • 0024882494 scopus 로고
    • Plastic bifurcation and postbifurcation for generalized standard continua
    • Nguyen, Q. S. and Triantafyllidis, N. (1989) Plastic bifurcation and postbifurcation for generalized standard continua. J. Mech. Phys. Solids 37, 545-566.
    • (1989) J. Mech. Phys. Solids , vol.37 , pp. 545-566
    • Nguyen, Q.S.1    Triantafyllidis, N.2
  • 18
    • 0016048255 scopus 로고
    • Comportements local et macroscopique d'un type de milieux physiques hétérogènes
    • Sanchez-Palencia, E. (1974) Comportements local et macroscopique d'un type de milieux physiques hétérogènes. Int. J. Engng Sci. 12, 331-351.
    • (1974) Int. J. Engng Sci. , vol.12 , pp. 331-351
    • Sanchez-Palencia, E.1
  • 20
    • 0022891455 scopus 로고
    • A gradient approach to localization of deformation. I - Hyperelastic materials
    • Triantafyllidis, M and Aifantis, E. C. (1986) A gradient approach to localization of deformation. I - Hyperelastic materials. J. Elasticity 16, 225-237.
    • (1986) J. Elasticity , vol.16 , pp. 225-237
    • Triantafyllidis, M.1    Aifantis, E.C.2
  • 21
    • 84886586721 scopus 로고
    • On the comparison between microscopic and macroscopic instability mechanisms in a class of fiber-reinforced composites
    • Triantafyllidis, N. and Maker, B. N. (1985) On the comparison between microscopic and macroscopic instability mechanisms in a class of fiber-reinforced composites. J. Appl. Mech. 52, 794-800.
    • (1985) J. Appl. Mech. , vol.52 , pp. 794-800
    • Triantafyllidis, N.1    Maker, B.N.2
  • 22
    • 0027813754 scopus 로고
    • On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models
    • Triantafyllidis, N. and Bardenhagen, S. G. (1993) On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models. J. Elasticity 33, 259-293.
    • (1993) J. Elasticity , vol.33 , pp. 259-293
    • Triantafyllidis, N.1    Bardenhagen, S.G.2
  • 23
    • 0019065124 scopus 로고
    • On the localization of buckling patterns
    • Tvergaard, V. and Needleman, A. (1980) On the localization of buckling patterns. J. Appl. Mech. 47, 613-619.
    • (1980) J. Appl. Mech. , vol.47 , pp. 613-619
    • Tvergaard, V.1    Needleman, A.2
  • 24
    • 0002850821 scopus 로고
    • The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density
    • Van Der Waals, J. D. (1893) The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density (in Dutch). Verhandel. Konink. Akad. Weten. Amsterdam (sec. 1) 1.
    • (1893) Verhandel. Konink. Akad. Weten. Amsterdam (Sec. 1) , vol.1
    • Van Der Waals, J.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.