메뉴 건너뛰기




Volumn 170, Issue 3-4, 1999, Pages 407-421

Bifurcation and metastability in a new one-dimensional model for martensitic phase transitions

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CRYSTAL MICROSTRUCTURE; ELASTICITY; HYSTERESIS; INTERFACIAL ENERGY; MARTENSITIC TRANSFORMATIONS; MATHEMATICAL MODELS; NUCLEATION; OPTIMIZATION; TWINNING;

EID: 0032647268     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00205-9     Document Type: Article
Times cited : (25)

References (21)
  • 3
    • 0000358405 scopus 로고
    • Structured phase transitions on a finite interval
    • J. Carr, M.E. Gurtin and M. Slemrod, Structured phase transitions on a finite interval, Arch. Rat. Mech. Anal. 86 (1984) 317-351.
    • (1984) Arch. Rat. Mech. Anal. , vol.86 , pp. 317-351
    • Carr, J.1    Gurtin, M.E.2    Slemrod, M.3
  • 6
    • 0016569455 scopus 로고
    • Equilibrium of bars
    • J.L. Ericksen, Equilibrium of bars, J. Elasticity 5 (1975) 191-202.
    • (1975) J. Elasticity , vol.5 , pp. 191-202
    • Ericksen, J.L.1
  • 8
    • 0002441479 scopus 로고
    • Deformation of shape-memory materials
    • C.Y. Liu, H. Kunsmann, K. Otsuka and M. Wuttig, eds.
    • R.D. James, Deformation of shape-memory materials, in: C.Y. Liu, H. Kunsmann, K. Otsuka and M. Wuttig, eds., Mat. Res. Soc. Symp. Proc. Vol. 246 (1992) 81-90.
    • (1992) Mat. Res. Soc. Symp. Proc. , vol.246 , pp. 81-90
    • James, R.D.1
  • 9
    • 0001608527 scopus 로고
    • Dissipative structures and couette flow in a non-newtonian fluid
    • A.E. Lifshitz and G.L. Rybnikov, Dissipative structures and couette flow in a non-Newtonian fluid, Sov. Phys. Dokl. 30(4) (1985) 275-278.
    • (1985) Sov. Phys. Dokl. , vol.30 , Issue.4 , pp. 275-278
    • Lifshitz, A.E.1    Rybnikov, G.L.2
  • 10
    • 0039941403 scopus 로고
    • Minimizing sequences for nonconvex functionals, phase transitions and singular perturbations
    • Springer, Berlin
    • S. Müller, Minimizing sequences for nonconvex functionals, phase transitions and singular perturbations, Vol. 359 of Lecture Notes in Physics (Springer, Berlin, 1990) 31-44.
    • (1990) Lecture Notes in Physics , vol.359 , pp. 31-44
    • Müller, S.1
  • 11
    • 0000390068 scopus 로고
    • Singular perturbation as a selection criterion for periodic minimizing sequences
    • S. Müller, Singular perturbation as a selection criterion for periodic minimizing sequences, Calculus of Variations 1 (1993) 169-204.
    • (1993) Calculus of Variations , vol.1 , pp. 169-204
    • Müller, S.1
  • 12
    • 0016665645 scopus 로고
    • Lattice softening and the origin of SME
    • J. Perkins, ed., AIME
    • N. Nakanishi, Lattice softening and the origin of SME, in: J. Perkins, ed., Shape Memory Effects in Alloys (AIME, 1975) 147-175.
    • (1975) Shape Memory Effects in Alloys , pp. 147-175
    • Nakanishi, N.1
  • 14
    • 0039064737 scopus 로고
    • On the thermomechanical behavior of NiTi
    • EMRL, Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin.
    • J.A. Shaw and S. Kyriakides, On the thermomechanical behavior of NiTi. Technical Report 94/12, EMRL, Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin. 1994.
    • (1994) Technical Report 94/12
    • Shaw, J.A.1    Kyriakides, S.2
  • 15
    • 0029324570 scopus 로고
    • Orientation dependence of the pseudoelastic bahavior of single crystals of Cu-Al-Ni in tension
    • T.W. Shield, Orientation dependence of the pseudoelastic bahavior of single crystals of Cu-Al-Ni in tension, J. Mech. Phys. Solids 43(6) (1995) 869-895.
    • (1995) J. Mech. Phys. Solids , vol.43 , Issue.6 , pp. 869-895
    • Shield, T.W.1
  • 17
    • 0027813754 scopus 로고
    • On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models
    • N. Triantafyllidis and S. Bardenhagen, On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models, J. Elasticity 33(3) (1993) 259-293.
    • (1993) J. Elasticity , vol.33 , Issue.3 , pp. 259-293
    • Triantafyllidis, N.1    Bardenhagen, S.2
  • 18
    • 34249755077 scopus 로고
    • Finite-scale microstructures and metastability in one-dimensional elasticity
    • L. Truskinovsky and G. Zanzotto, Finite-scale microstructures and metastability in one-dimensional elasticity, Meccanica 30 (1995) 577-589.
    • (1995) Meccanica , vol.30 , pp. 577-589
    • Truskinovsky, L.1    Zanzotto, G.2
  • 19
    • 0030215097 scopus 로고    scopus 로고
    • Ericksen's bar revisited: Energy wiggles
    • L. Truskinovsky and G. Zanzotto, Ericksen's bar revisited: Energy wiggles, J. Mech. Phys. Solids, 44(8) (1996) 1371-1408.
    • (1996) J. Mech. Phys. Solids , vol.44 , Issue.8 , pp. 1371-1408
    • Truskinovsky, L.1    Zanzotto, G.2
  • 20
    • 0032046595 scopus 로고    scopus 로고
    • The role of the spinodal region in one-dimensional martensitic phase transitions
    • A. Vainchtein, T. Healey, P. Rosakis and L. Truskinovsky, The role of the spinodal region in one-dimensional martensitic phase transitions, Physica D, 115 (1998) 29-48.
    • (1998) Physica D , vol.115 , pp. 29-48
    • Vainchtein, A.1    Healey, T.2    Rosakis, P.3    Truskinovsky, L.4
  • 21
    • 0000533680 scopus 로고    scopus 로고
    • Hysteresis and stick-slip motion of interfaces in dynamic models of phase transitions
    • submitted
    • A. Vainchtein and P. Rosakis, Hysteresis and stick-slip motion of interfaces in dynamic models of phase transitions, J. Nonlinear Sci., submitted.
    • J. Nonlinear Sci.
    • Vainchtein, A.1    Rosakis, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.