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Volumn 3, Issue 1, 1998, Pages 29-51

Nonlinear elasticity theory with discontinuous internal variables

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; MECHANICS; NONLINEAR EQUATIONS;

EID: 0032025587     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/108128659800300103     Document Type: Article
Times cited : (31)

References (17)
  • 1
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    • Ericksen, J.L.1
  • 2
    • 0018019943 scopus 로고
    • On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics
    • Knowles, J. K. and Sternberg, E.: On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics. J. Elasticity, 8, 329-379 (1978).
    • (1978) J. Elasticity , vol.8 , pp. 329-379
    • Knowles, J.K.1    Sternberg, E.2
  • 3
    • 0018711591 scopus 로고
    • Co-existent phases in the one-dimensional static theory of elastic bars
    • James, R. D.: Co-existent phases in the one-dimensional static theory of elastic bars. Arch. Rat. Mech. Anal., 72, 99-140 (1979).
    • (1979) Arch. Rat. Mech. Anal. , vol.72 , pp. 99-140
    • James, R.D.1
  • 4
    • 0019586828 scopus 로고
    • The equilibrium and post-buckling behavior of an elastic curve governed by a non-convex energy
    • James, R. D.: The equilibrium and post-buckling behavior of an elastic curve governed by a non-convex energy. J. Elasticity, 11, 239-269 (1981).
    • (1981) J. Elasticity , vol.11 , pp. 239-269
    • James, R.D.1
  • 5
    • 0019146946 scopus 로고
    • The morphology and stability of material phases
    • Dunn, J. E. and Fosdick, R. L.: The morphology and stability of material phases. Arch. Rat. Mech. Anal., 74, 1-99 (1980).
    • (1980) Arch. Rat. Mech. Anal. , vol.74 , pp. 1-99
    • Dunn, J.E.1    Fosdick, R.L.2
  • 6
    • 0019559605 scopus 로고
    • The elastica and the problem of pure bending for a non-convex stored energy function
    • Fosdick, R. L. and James, R. D.: The elastica and the problem of pure bending for a non-convex stored energy function. J. Elasticity, 11, 165-186 (1981).
    • (1981) J. Elasticity , vol.11 , pp. 165-186
    • Fosdick, R.L.1    James, R.D.2
  • 7
    • 0019477295 scopus 로고
    • Discontinuous deformation gradients in the finite twisting of an incompressible elastic tube
    • Abeyaratne, R. C.: Discontinuous deformation gradients in the finite twisting of an incompressible elastic tube. J. Elasticity, 11, 43-80 (1981).
    • (1981) J. Elasticity , vol.11 , pp. 43-80
    • Abeyaratne, R.C.1
  • 8
    • 0020892144 scopus 로고
    • Two-phase deformations of elastic solids
    • Gurtin, M. E.: Two-phase deformations of elastic solids. Arch. Rat. Mech. Anal., 84, 1-29 (1983).
    • (1983) Arch. Rat. Mech. Anal. , vol.84 , pp. 1-29
    • Gurtin, M.E.1
  • 9
    • 0023533421 scopus 로고
    • Non-elliptic elastic materials and the modeling of dissipative mechanical behavior: An example
    • Abeyaratne, R. C. and Knowles, J. K.: Non-elliptic elastic materials and the modeling of dissipative mechanical behavior: An example. J. Elasticity, 18, 227-278 (1987).
    • (1987) J. Elasticity , vol.18 , pp. 227-278
    • Abeyaratne, R.C.1    Knowles, J.K.2
  • 10
    • 0023213036 scopus 로고
    • Non-elliptic elastic materials and the modeling of elastic-plastic behavior for finite deformations
    • Abeyaratne, R. C. and Knowles, J. K.: Non-elliptic elastic materials and the modeling of elastic-plastic behavior for finite deformations. J. Mech. Phys. Solids, 35, 343-365 (1987).
    • (1987) J. Mech. Phys. Solids , vol.35 , pp. 343-365
    • Abeyaratne, R.C.1    Knowles, J.K.2
  • 12
    • 0001423629 scopus 로고
    • Inelastic column theory
    • Shanley, F. R.: Inelastic column theory. J. Aero. Sci., 14, 261-267 (1947).
    • (1947) J. Aero. Sci. , vol.14 , pp. 261-267
    • Shanley, F.R.1
  • 13
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    • Beam buckling as a coexistence of phases phenomenon
    • Lazopoulos, K. A.: Beam buckling as a coexistence of phases phenomenon. Eur. J. Mech. A/Solids, 14, 589-604 (1995).
    • (1995) Eur. J. Mech. A/Solids , vol.14 , pp. 589-604
    • Lazopoulos, K.A.1
  • 17
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    • Bifurcation of inflated circular cylinders of elastic material under axial loading II. Exact theory for thick-walled tubes
    • Haughton, D. M. and Ogden, R. W.: Bifurcation of inflated circular cylinders of elastic material under axial loading II. Exact theory for thick-walled tubes. J. Mech. Phys. Solids, 27, 489-512 (1979).
    • (1979) J. Mech. Phys. Solids , vol.27 , pp. 489-512
    • Haughton, D.M.1    Ogden, R.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.