메뉴 건너뛰기




Volumn 56, Issue 10-11 SPEC. ISS., 2006, Pages 1450-1463

Computation of dynamical phase transitions in solids

Author keywords

Dynamical phase boundaries in solids; Finite volume method; Kinetic relation; Level set; Microstructures

Indexed keywords

ADAPTIVE ALGORITHMS; BOUNDARY ELEMENT METHOD; ELASTICITY; ENTROPY; FINITE VOLUME METHOD; MICROSTRUCTURE; NONLINEAR EQUATIONS; PHASE TRANSITIONS;

EID: 33745958763     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2006.03.025     Document Type: Article
Times cited : (13)

References (14)
  • 1
    • 0008894832 scopus 로고
    • Kinetic relations and the propagation of phase boundaries in solids
    • Abeyaratne R., and Knowles J. Kinetic relations and the propagation of phase boundaries in solids. Arch. Rat. Mech. Anal. 114 2 (1991) 119-154
    • (1991) Arch. Rat. Mech. Anal. , vol.114 , Issue.2 , pp. 119-154
    • Abeyaratne, R.1    Knowles, J.2
  • 2
    • 0030521036 scopus 로고    scopus 로고
    • Numerical discretization of the first-order Hamilton-Jacobi equation on triangular meshes
    • Abgrall R. Numerical discretization of the first-order Hamilton-Jacobi equation on triangular meshes. Comm. Pure Appl. Math. XLIX (1996) 1339-1373
    • (1996) Comm. Pure Appl. Math. , vol.XLIX , pp. 1339-1373
    • Abgrall, R.1
  • 3
    • 33745936990 scopus 로고    scopus 로고
    • E. Bänsch, Local mesh refinement in 2 and 3 dimensions, Report 6, SFB 256, Bonn, 1989
  • 4
    • 85016350873 scopus 로고    scopus 로고
    • Computing undercompressive waves with the random choice scheme: Nonclassical shock waves
    • Chalons C., and LeFloch P.G. Computing undercompressive waves with the random choice scheme: Nonclassical shock waves. Interfaces and Free Boundaries 5 (2003) 129-158
    • (2003) Interfaces and Free Boundaries , vol.5 , pp. 129-158
    • Chalons, C.1    LeFloch, P.G.2
  • 5
    • 33745955433 scopus 로고    scopus 로고
    • Sharp and diffuse interface methods for phase-transition problems in liquid-vapour flows
    • Sonnendrucker E. (Ed), IRMA, Strasbourg
    • Coquel F., Diehl D., Merkle C., and Rohde C. Sharp and diffuse interface methods for phase-transition problems in liquid-vapour flows. In: Sonnendrucker E. (Ed). Numerical Methods for Hyperbolic and Kinetic Problems (2004), IRMA, Strasbourg
    • (2004) Numerical Methods for Hyperbolic and Kinetic Problems
    • Coquel, F.1    Diehl, D.2    Merkle, C.3    Rohde, C.4
  • 6
    • 0000704953 scopus 로고    scopus 로고
    • A level-set approach to the computation of twinning and phase-transition dynamics
    • Hou T., Rosakis Ph., and LeFloch P.G. A level-set approach to the computation of twinning and phase-transition dynamics. J. Comput. Phys. 150 (1999) 302-331
    • (1999) J. Comput. Phys. , vol.150 , pp. 302-331
    • Hou, T.1    Rosakis, Ph.2    LeFloch, P.G.3
  • 8
    • 0000356257 scopus 로고    scopus 로고
    • New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations
    • Kurganov A., and Tadmor E. New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations. J. Comput. Phys. 160 (2000) 720-742
    • (2000) J. Comput. Phys. , vol.160 , pp. 720-742
    • Kurganov, A.1    Tadmor, E.2
  • 9
    • 0344845552 scopus 로고    scopus 로고
    • Hyperbolic Systems of Conservation Laws: The Theory of Classical and Nonclassical Shock Waves
    • Birkhäuser, Basel
    • LeFloch P.G. Hyperbolic Systems of Conservation Laws: The Theory of Classical and Nonclassical Shock Waves. Lectures in Mathematics, ETH Zürich (2002), Birkhäuser, Basel
    • (2002) Lectures in Mathematics, ETH Zürich
    • LeFloch, P.G.1
  • 10
    • 0000339031 scopus 로고    scopus 로고
    • High-order schemes, entropy inequalities, and nonclassical shocks
    • LeFloch P.G., and Rohde C. High-order schemes, entropy inequalities, and nonclassical shocks. SIAM J. Numer. Anal. 37 (2000) 2023-2060
    • (2000) SIAM J. Numer. Anal. , vol.37 , pp. 2023-2060
    • LeFloch, P.G.1    Rohde, C.2
  • 11
    • 3042841518 scopus 로고    scopus 로고
    • Level Set Methods and Dynamic Implicit Surfaces
    • Springer, Berlin
    • Osher S., and Fedkiw R. Level Set Methods and Dynamic Implicit Surfaces. Appl. Math. Sciences vol. 153 (2003), Springer, Berlin
    • (2003) Appl. Math. Sciences , vol.153
    • Osher, S.1    Fedkiw, R.2
  • 12
    • 0036498383 scopus 로고    scopus 로고
    • Interaction of harmonic plane waves with a mobile elastic phase boundary in anti-plane shear
    • Pence T.J., and Tsai H. Interaction of harmonic plane waves with a mobile elastic phase boundary in anti-plane shear. Int. J. Engrg. Sci. 40 (2002) 647-671
    • (2002) Int. J. Engrg. Sci. , vol.40 , pp. 647-671
    • Pence, T.J.1    Tsai, H.2
  • 13
    • 0029379347 scopus 로고
    • Dynamic twinning processes in crystals
    • Rosakis P., and Tsai H.Y. Dynamic twinning processes in crystals. Intl. J. Solids Struct. 33 (1995) 2711
    • (1995) Intl. J. Solids Struct. , vol.33 , pp. 2711
    • Rosakis, P.1    Tsai, H.Y.2
  • 14
    • 2442433925 scopus 로고
    • Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
    • van Leer B. Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method. J. Comput. Phys. 32 (1979) 101-136
    • (1979) J. Comput. Phys. , vol.32 , pp. 101-136
    • van Leer, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.