메뉴 건너뛰기




Volumn 52, Issue 7, 2004, Pages 1447-1479

Localized transition waves in bistable-bond lattices

Author keywords

A. Dynamics; B. Phase transition; Bistable bond lattice; C. Integral transforms

Indexed keywords

COMPUTER SIMULATION; ELASTICITY; INTERFACES (MATERIALS); MATHEMATICAL TRANSFORMATIONS; PHASE TRANSITIONS; STRUCTURAL ANALYSIS; VISCOELASTICITY;

EID: 2442553999     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2004.01.008     Document Type: Article
Times cited : (43)

References (45)
  • 1
    • 0035202323 scopus 로고    scopus 로고
    • Dynamics of chains with non-monotone stress-strain relations. I. Model and numerical experiments
    • Balk A.M., Cherkaev A.V., Slepyan L.I. Dynamics of chains with non-monotone stress-strain relations. I. Model and numerical experiments. J. Mech. Phys. Solids. 49:2001;131-148.
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 131-148
    • Balk, A.M.1    Cherkaev, A.V.2    Slepyan, L.I.3
  • 2
    • 0035198550 scopus 로고    scopus 로고
    • Dynamics of chains with non-monotone stress-strain relations. II. Nonlinear waves and waves of phase transition
    • Balk A.M., Cherkaev A.V., Slepyan L.I. Dynamics of chains with non-monotone stress-strain relations. II. Nonlinear waves and waves of phase transition. J. Mech. Phys. Solids. 49:2001;149-171.
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 149-171
    • Balk, A.M.1    Cherkaev, A.V.2    Slepyan, L.I.3
  • 3
    • 0037156785 scopus 로고    scopus 로고
    • Stress states and growth behavior of bridged cracks at creep regime
    • Biner S.B. Stress states and growth behavior of bridged cracks at creep regime. Eng. Fract. Mech. 69:2002;923-943.
    • (2002) Eng. Fract. Mech. , vol.69 , pp. 923-943
    • Biner, S.B.1
  • 7
    • 0041876727 scopus 로고    scopus 로고
    • Instability in dynamic fracture
    • Fineberg J., Marder M. Instability in dynamic fracture. Phys. Rep. 313:1999;1-108.
    • (1999) Phys. Rep. , vol.313 , pp. 1-108
    • Fineberg, J.1    Marder, M.2
  • 9
    • 7244242442 scopus 로고
    • Instability in the propagation of fast cracks
    • Fineberg J., Gross S.P., Marder M., Swinney H.L. Instability in the propagation of fast cracks. Phys. Rev. B. 45(10):1992;5146-5154.
    • (1992) Phys. Rev. B , vol.45 , Issue.10 , pp. 5146-5154
    • Fineberg, J.1    Gross, S.P.2    Marder, M.3    Swinney, H.L.4
  • 10
    • 0002918029 scopus 로고
    • On the theory of plastic deformation and twinning
    • Frenkel J., Kontorova T. On the theory of plastic deformation and twinning. Sov. Phys. JETP. 13:1938;1-10.
    • (1938) Sov. Phys. JETP , vol.13 , pp. 1-10
    • Frenkel, J.1    Kontorova, T.2
  • 11
    • 0035921980 scopus 로고    scopus 로고
    • Friction and fracture
    • Gerde E., Marder M. Friction and Fracture. Nature. 413:2001;285-288.
    • (2001) Nature , vol.413 , pp. 285-288
    • Gerde, E.1    Marder, M.2
  • 12
    • 0032689461 scopus 로고    scopus 로고
    • Analysis of intersonic crack growth in unidirectional fiber-reinforced composites
    • Huang Y., Wang W., Liu C., Rosakis A.J. Analysis of intersonic crack growth in unidirectional fiber-reinforced composites. J. Mech. Phys. Solids. 47:1999;1893-1916.
    • (1999) J. Mech. Phys. Solids , vol.47 , pp. 1893-1916
    • Huang, Y.1    Wang, W.2    Liu, C.3    Rosakis, A.J.4
  • 13
    • 0000970316 scopus 로고    scopus 로고
    • Steady-state cracks in viscoelastic lattice models II
    • Kessler D.A. Steady-state cracks in viscoelastic lattice models II. Phys. Rev. E. 61(3):2000;2348-2360.
    • (2000) Phys. Rev. E , vol.61 , Issue.3 , pp. 2348-2360
    • Kessler, D.A.1
  • 14
    • 0001339078 scopus 로고    scopus 로고
    • Steady-state cracks in viscoelastic lattice models
    • Kessler D.A., Levine H. Steady-state cracks in viscoelastic lattice models. Phys. Rev. E. 59(5):1998;5154-5164.
    • (1998) Phys. Rev. E , vol.59 , Issue.5 , pp. 5154-5164
    • Kessler, D.A.1    Levine, H.2
  • 15
    • 18644385076 scopus 로고    scopus 로고
    • Nonlinear lattice models of viscoelastic mode III fracture
    • Kessler, D.A., Levine, H., 2001. Nonlinear lattice models of viscoelastic mode III fracture, Phys. Rev. E 63 (1), 016118/1-9.
    • (2001) Phys. Rev. E , vol.63 , Issue.1
    • Kessler, D.A.1    Levine, H.2
  • 16
    • 0037847474 scopus 로고    scopus 로고
    • Mobility of lattice defects: Discrete and continuum approaches
    • Kresse O., Truskinovsky L. Mobility of lattice defects. discrete and continuum approaches J. Mech. Phys. Solids. 51(7):2003;1305-1332.
    • (2003) J. Mech. Phys. Solids , vol.51 , Issue.7 , pp. 1305-1332
    • Kresse, O.1    Truskinovsky, L.2
  • 17
    • 2442600284 scopus 로고    scopus 로고
    • Lattice friction for crystalline defects: From dislocation to cracks
    • submitted
    • Kresse, O., Truskinovsky, L., 2004. Lattice friction for crystalline defects: from dislocation to cracks. J. Mech. Phy. Solids, submitted.
    • (2004) J. Mech. Phy. Solids
    • Kresse, O.1    Truskinovsky, L.2
  • 19
    • 12044252432 scopus 로고
    • Instability in lattice fracture
    • Marder M., Liu X. Instability in lattice fracture. Phys. Rev. Lett. 71(15):1993;2417-2420.
    • (1993) Phys. Rev. Lett. , vol.71 , Issue.15 , pp. 2417-2420
    • Marder, M.1    Liu, X.2
  • 20
    • 34548145439 scopus 로고
    • Origin of crack tip instabilities
    • Marder M., Gross S. Origin of crack tip instabilities. J. Mech. Phys. Solids. 43:1995;1-48.
    • (1995) J. Mech. Phys. Solids , vol.43 , pp. 1-48
    • Marder, M.1    Gross, S.2
  • 21
    • 0028485993 scopus 로고
    • A detailed analysis of cracks bridged by fibers - I. Limiting cases of short and long cracks
    • Meda G., Steif P.S. A detailed analysis of cracks bridged by fibers - I. Limiting cases of short and long cracks. J. Mech. Phys. Solids. 42:1994;1293-1321.
    • (1994) J. Mech. Phys. Solids , vol.42 , pp. 1293-1321
    • Meda, G.1    Steif, P.S.2
  • 22
    • 0028485552 scopus 로고
    • A detailed analysis of cracks bridged by fibers - II. Cracks of intermediate size
    • Meda G., Steif P.S. A detailed analysis of cracks bridged by fibers - II. Cracks of intermediate size. J. Mech. Phys. Solids. 42:1994;1323-1341.
    • (1994) J. Mech. Phys. Solids , vol.42 , pp. 1323-1341
    • Meda, G.1    Steif, P.S.2
  • 23
    • 0030288145 scopus 로고    scopus 로고
    • Critical load for a mode-I crack reinforced by fibres
    • Movchan N.V., Willis J.R. Critical load for a mode-I crack reinforced by fibres. Quart. J. Mech. Appl. Math. 49(4):1996;545-564.
    • (1996) Quart. J. Mech. Appl. Math. , vol.49 , Issue.4 , pp. 545-564
    • Movchan, N.V.1    Willis, J.R.2
  • 24
    • 0000676288 scopus 로고    scopus 로고
    • Asymptotic analysis of reinforcement by frictional fibres
    • Movchan N.V., Willis J.R. Asymptotic analysis of reinforcement by frictional fibres. Proc. R. Soc. A. 453:1997;757-784.
    • (1997) Proc. R. Soc. A , vol.453 , pp. 757-784
    • Movchan, N.V.1    Willis, J.R.2
  • 25
    • 0031268677 scopus 로고    scopus 로고
    • Influence of spatial correlations on crack bridging by frictional fibres
    • Movchan N.V., Willis J.R. Influence of spatial correlations on crack bridging by frictional fibres. Eng. Fract. Mech. 58:1997;571-579.
    • (1997) Eng. Fract. Mech. , vol.58 , pp. 571-579
    • Movchan, N.V.1    Willis, J.R.2
  • 26
    • 0032099070 scopus 로고    scopus 로고
    • Penny-shaped crack reinforced by fibres
    • Movchan N.V., Willis J.R. Penny-shaped crack reinforced by fibres. Q. Appl. Math. 56(2):1998;327-340.
    • (1998) Q. Appl. Math. , vol.56 , Issue.2 , pp. 327-340
    • Movchan, N.V.1    Willis, J.R.2
  • 27
    • 0242366174 scopus 로고    scopus 로고
    • Two-dimensional lattice models of the Peierls type
    • Movchan A.B., Bullough R., Willis J.R. Two-dimensional lattice models of the Peierls type. Philos. Mag. 83(5):2003;569-587.
    • (2003) Philos. Mag. , vol.83 , Issue.5 , pp. 569-587
    • Movchan, A.B.1    Bullough, R.2    Willis, J.R.3
  • 29
    • 0035500172 scopus 로고    scopus 로고
    • A fiber-bridged crack with rate-dependent bridging forces
    • Nemat-Nasser S., Luqun N. A fiber-bridged crack with rate-dependent bridging forces. J. Mech. Phys. Solids. 49:2001;2635-2650.
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 2635-2650
    • Nemat-Nasser, S.1    Luqun, N.2
  • 30
    • 0036604910 scopus 로고    scopus 로고
    • Thermo-elastic aspects of dynamic nucleation
    • Ngan S.-C., Truskinovsky L. Thermo-elastic aspects of dynamic nucleation. J. Mech. Phys. Solids. 50:2002;1193-1229.
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 1193-1229
    • Ngan, S.-C.1    Truskinovsky, L.2
  • 31
    • 0036495274 scopus 로고    scopus 로고
    • Steady-state mode I cracks in a viscoelastic triangular lattice
    • Pechenik L., Levine H., Kessler D.A. Steady-state mode I cracks in a viscoelastic triangular lattice. J. Mech. Phys. Solids. 50:2002;583-613.
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 583-613
    • Pechenik, L.1    Levine, H.2    Kessler, D.A.3
  • 32
    • 0001925167 scopus 로고    scopus 로고
    • Mechanics of a discrete chain with bi-stable elements
    • Puglisi G., Truskinovsky L. Mechanics of a discrete chain with bi-stable elements. J. Mech. Phys. Solids. 48:2000;1-27.
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 1-27
    • Puglisi, G.1    Truskinovsky, L.2
  • 33
    • 0012711376 scopus 로고
    • Dynamics of a crack in a lattice
    • Slepyan L.I. Dynamics of a crack in a lattice. Sov. Phys. Dokl. 26:1981;538-540.
    • (1981) Sov. Phys. Dokl. , vol.26 , pp. 538-540
    • Slepyan, L.I.1
  • 34
    • 0343618407 scopus 로고    scopus 로고
    • Dynamic factor in impact, phase transition and fracture
    • Slepyan L.I. Dynamic factor in impact, phase transition and fracture. J. Mech. Phys. Solids. 48:2000;931-964.
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 931-964
    • Slepyan, L.I.1
  • 35
    • 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. Feeding and dissipative waves in fracture and phase transition. I. Some 1D structures and a square-cell lattice. J. Mech. Phys. Solids. 49:2001;469-511.
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 469-511
    • Slepyan, L.I.1
  • 36
    • 0034823528 scopus 로고    scopus 로고
    • Feeding and dissipative waves in fracture and phase transition. II. Phase-transition waves
    • Slepyan L.I. Feeding and dissipative waves in fracture and phase transition. II. Phase-transition waves. J. Mech. Phys. Solids. 49:2001;513-550.
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 513-550
    • Slepyan, L.I.1
  • 37
    • 0035546078 scopus 로고    scopus 로고
    • Feeding and dissipative waves in fracture and phase transition. III. Triangular-cell lattice
    • Slepyan L.I. Feeding and dissipative waves in fracture and phase transition. III. Triangular-cell lattice. J. Mech. Phys. Solids. 49:2001;2839-2875.
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 2839-2875
    • Slepyan, L.I.1
  • 39
    • 0036681301 scopus 로고    scopus 로고
    • Some surprising phenomena in weak-bond fracture of a triangular lattice
    • Slepyan L.I., Ayzenberg-Stepanenko M.V. Some surprising phenomena in weak-bond fracture of a triangular lattice. J. Mech. Phys. Solids. 50(8):2002;1591-1625.
    • (2002) J. Mech. Phys. Solids , vol.50 , Issue.8 , pp. 1591-1625
    • Slepyan, L.I.1    Ayzenberg-Stepanenko, M.V.2
  • 41
    • 2442534997 scopus 로고
    • Shock waves in a nonlinear chain
    • R.V. Gol'dstein. Moscow: Nauka. (in Russian)
    • Slepyan L.I., Troyankina L.V. Shock waves in a nonlinear chain. Gol'dstein R.V. Plasticity and Fracture of Solids. 1988;175-186 Nauka, Moscow. (in Russian).
    • (1988) Plasticity and Fracture of Solids , pp. 175-186
    • Slepyan, L.I.1    Troyankina, L.V.2
  • 43
    • 2442472105 scopus 로고    scopus 로고
    • Transition waves in bistable structures. II. Analytical solution: Wave speed and energy dissipation
    • submitted
    • Slepyan, L., Cherkaev, A., Cherkaev, E., 2004. Transition waves in bistable structures. II. Analytical solution: wave speed and energy dissipation. J. Mech. Phys. Solids, submitted.
    • (2004) J. Mech. Phys. Solids
    • Slepyan, L.1    Cherkaev, A.2    Cherkaev, E.3
  • 44
    • 2442516329 scopus 로고    scopus 로고
    • Explicit kinetic relation from "first principles"
    • Ogden, R., Gao, D. (Eds.), Mechanics of Material forces, Euromech 445, Kluwer, Dordrecht
    • Truskinovsky, L., Vainchtein, A., 2004. Explicit kinetic relation from "first principles". In: Ogden, R., Gao, D. (Eds.), Mechanics of Material forces, Euromech 445, Advances in Mechanics and Mathematics, Kluwer, Dordrecht, pp. 1-8.
    • (2004) Advances in Mechanics and Mathematics , pp. 1-8
    • Truskinovsky, L.1    Vainchtein, A.2
  • 45
    • 0002719382 scopus 로고
    • Asymptotic analysis of crack bridging by ductile fibres
    • Willis J.R. Asymptotic analysis of crack bridging by ductile fibres. Composites. 24:1993;93-97.
    • (1993) Composites , vol.24 , pp. 93-97
    • Willis, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.