메뉴 건너뛰기




Volumn 19, Issue 5, 2007, Pages 299-319

Nucleation and phase propagation in a multistable lattice with weak nonlocal interactions

Author keywords

Gradient flows; Lattice models; Martensitic phase transitions; Nonlocal interactions; Stress peak

Indexed keywords

GLOBAL ENERGY MINIMIZATION; GRADIENT FLOWS; LATTICE MODELS; NONLOCAL INTERACTIONS; PHASE PROPAGATION; STRESS PEAK;

EID: 34648846999     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00161-007-0056-7     Document Type: Article
Times cited : (17)

References (23)
  • 2
    • 0035202323 scopus 로고    scopus 로고
    • Dynamics of solids with non-monotone stress-strain relations. 1. Model and numerical experiments
    • 1
    • Balk A.M., Cherkaev A.V. and Slepyan L.I. (2001). Dynamics of solids with non-monotone stress-strain relations. 1. Model and numerical experiments. J. Mech. Phys. Solids 49(1): 131-148
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 131-148
    • Balk, A.M.1    Cherkaev, A.V.2    Slepyan, L.I.3
  • 4
    • 0344945506 scopus 로고    scopus 로고
    • Dynamics of a chain of springs with non convex potential energy
    • Cardin F. and Favretti M. (2003). Dynamics of a chain of springs with non convex potential energy. Math. Mech. Solids 8: 651-669
    • (2003) Math. Mech. Solids , vol.8 , pp. 651-669
    • Cardin, F.1    Favretti, M.2
  • 5
    • 0036474374 scopus 로고    scopus 로고
    • Linear elastic chain with a hyper-pre-stress
    • Charlotte M. and Truskinovsky L. (2002). Linear elastic chain with a hyper-pre-stress. J. Mech. Phys. Solids 50: 217-251
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 217-251
    • Charlotte, M.1    Truskinovsky, L.2
  • 6
    • 0003492744 scopus 로고
    • Gordon and Breach Science New York
    • Funakubo H. (1987). Shape Memory Alloys. Gordon and Breach Science, New York
    • (1987) Shape Memory Alloys
    • Funakubo, H.1
  • 8
    • 0000809242 scopus 로고
    • A review on the inverse of symmetric tridiagonal and block tridiagonal matrices
    • Meurant G. (1992). A review on the inverse of symmetric tridiagonal and block tridiagonal matrices. SIAM. Jour. Matrix Anal. Appl. 13: 707-728
    • (1992) SIAM. Jour. Matrix Anal. Appl. , vol.13 , pp. 707-728
    • Meurant, G.1
  • 9
    • 0019599821 scopus 로고
    • Lüders like deformation observed in the transformation pseudoelasticity of a Ti-Ni alloy
    • Miyazaki S., Imai T., Otsuka K. and Suzuki Y. (1981). Lüders like deformation observed in the transformation pseudoelasticity of a Ti-Ni alloy. Scripta Met. 15: 853-856
    • (1981) Scripta Met. , vol.15 , pp. 853-856
    • Miyazaki, S.1    Imai, T.2    Otsuka, K.3    Suzuki, Y.4
  • 10
    • 33746344982 scopus 로고    scopus 로고
    • Hysteresis in multi-stable lattices with non-local interactions
    • Puglisi G. (2006). Hysteresis in multi-stable lattices with non-local interactions. J. Mech. Phys. Solids 54: 2060-2088
    • (2006) J. Mech. Phys. Solids , vol.54 , pp. 2060-2088
    • Puglisi, G.1
  • 11
    • 0001925167 scopus 로고    scopus 로고
    • Mechanics of a discrete chain with bi-stable elements
    • Puglisi G. and Truskinovsky L. (2000). Mechanics of a discrete chain with bi-stable elements. J. Mech. Phys. Solids 1: 1-27
    • (2000) J. Mech. Phys. Solids , vol.1 , pp. 1-27
    • Puglisi, G.1    Truskinovsky, L.2
  • 12
    • 0036473776 scopus 로고    scopus 로고
    • Rate independent hysteresis in a bi-stable chain
    • 2
    • Puglisi G. and Truskinovsky L. (2002). Rate independent hysteresis in a bi-stable chain. J. Mech. Phys. Solids 50(2): 165-187
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 165-187
    • Puglisi, G.1    Truskinovsky, L.2
  • 13
    • 12344269032 scopus 로고    scopus 로고
    • Thermodynamics of rate independent plasticity
    • 3
    • Puglisi G. and Truskinovsky L. (2005). Thermodynamics of rate independent plasticity. J. Mech. Phys. Solids 53(3): 655-679
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 655-679
    • Puglisi, G.1    Truskinovsky, L.2
  • 14
  • 15
    • 0031078592 scopus 로고    scopus 로고
    • On the nucleation and propagation of phase transformation fronts in a NiTi alloy
    • Shaw J.A. and Kyriakides S. (2007). On the nucleation and propagation of phase transformation fronts in a NiTi alloy. Acta Mater. 45: 683-700
    • (2007) Acta Mater. , vol.45 , pp. 683-700
    • Shaw, J.A.1    Kyriakides, S.2
  • 16
    • 0034817926 scopus 로고    scopus 로고
    • Feeding and dissipative waves in fracture and phase transition. I. Some 1D structures and a square-cell lattice
    • Slepyan L.I. (2001). Feeding and dissipative waves in fracture and phase transition. I. Some 1D structures and a square-cell lattice. J. Mech. Phys. Solids 49: 469-511
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 469-511
    • Slepyan, L.I.1
  • 17
    • 10844253863 scopus 로고    scopus 로고
    • Transition waves in bistable structures. II: Analytical solution, wave speed and energy dissipation
    • 2
    • Slepyan L.I., Cherkaev A. and Cherkaev E. (2005). Transition waves in bistable structures. II: Analytical solution, wave speed and energy dissipation. J. Mech. Phys. Solids 53(2): 407-436
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 407-436
    • Slepyan, L.I.1    Cherkaev, A.2    Cherkaev, E.3
  • 18
    • 0027813754 scopus 로고
    • On the higer order gradient continuum theories in 1-d nonlinear elasticity. Derivation from and comparison to the corresponding discrete models
    • Triantafyllidis N. and Bardenhagen S. (1993). On the higer order gradient continuum theories in 1-d nonlinear elasticity. Derivation from and comparison to the corresponding discrete models. J. Elast. 33: 259-293
    • (1993) J. Elast. , vol.33 , pp. 259-293
    • Triantafyllidis, N.1    Bardenhagen, S.2
  • 19
    • 0038237007 scopus 로고    scopus 로고
    • Peierls-nabarro landscape for martensitic phase transitions
    • Truskinovsk, L., Vainchtein, A.: Peierls-nabarro landscape for martensitic phase transitions. Phys. Rev. B 67, 172103-1,4, (2003)
    • (2003) Phys. Rev. B , vol.67
    • Truskinovsk, L.1    Vainchtein, A.2
  • 20
    • 2442516329 scopus 로고    scopus 로고
    • Explicit kinetic relation from first principles
    • Gao, D.Y., Ogden, R.W. (Eds.) Kluwer, Dordrecht
    • Truskinovsky, L., Vainchtein, A.: Explicit kinetic relation from first principles. In: Gao, D.Y., Ogden, R.W. (Eds.) Advances in Mechanics and Mathematics. Kluwer, Dordrecht (2004)
    • (2004) Advances in Mechanics and Mathematics
    • Truskinovsky, L.1    Vainchtein, A.2
  • 21
    • 1642617747 scopus 로고    scopus 로고
    • The origin of nucleation peak in transformational plasticity
    • Truskinovsky L. and Vainchtein A. (2004). The origin of nucleation peak in transformational plasticity. J. Mech. Phys. Solids 52: 1421-1446
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 1421-1446
    • Truskinovsky, L.1    Vainchtein, A.2
  • 22
    • 33645776187 scopus 로고    scopus 로고
    • Kinetics of martensitic phase transitions: Lattice models
    • 2
    • Truskinovsky L. and Vainchtein A. (2005). Kinetics of martensitic phase transitions: lattice models. Siam J. Appl. Math. 66(2): 533-553
    • (2005) Siam J. Appl. Math. , vol.66 , pp. 533-553
    • Truskinovsky, L.1    Vainchtein, A.2
  • 23
    • 31444437724 scopus 로고    scopus 로고
    • Quasicontinuum modeling of short-wave instabilities in crystal lattices
    • Truskinovsky L. and Vainchtein A. (2005). Quasicontinuum modeling of short-wave instabilities in crystal lattices. Philos. Mag. 85: 4055-4065
    • (2005) Philos. Mag. , vol.85 , pp. 4055-4065
    • Truskinovsky, L.1    Vainchtein, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.