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Volumn 197, Issue 2, 2010, Pages 599-617

A sharp interface model for the propagation of martensitic phase boundaries

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EID: 77954027490     PISSN: 00039527     EISSN: 14320673     Source Type: Journal    
DOI: 10.1007/s00205-009-0286-x     Document Type: Article
Times cited : (7)

References (13)
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    • (1990) J. Mech. Phys. Solids , vol.38 , Issue.3 , pp. 345-360
    • Abeyaratne, R.1    Knowles, J.K.2
  • 2
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    • Kinetic relations and the propagation of phase boundaries in solids
    • Abeyaratne R., Knowles J. K.: Kinetic relations and the propagation of phase boundaries in solids. Arch. Rational Mech. Anal. 114(2), 119-154 (1991).
    • (1991) Arch. Rational Mech. Anal. , vol.114 , Issue.2 , pp. 119-154
    • Abeyaratne, R.1    Knowles, J.K.2
  • 3
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    • Curvature-driven flows: A variational approach
    • Almgren F., Taylor J. E., Wang L.: Curvature-driven flows: a variational approach. SIAM J. Control Optim. 31(2), 387-438 (1993).
    • (1993) SIAM J. Control Optim. , vol.31 , Issue.2 , pp. 387-438
    • Almgren, F.1    Taylor, J.E.2    Wang, L.3
  • 4
    • 77954030001 scopus 로고    scopus 로고
    • Ambrosio, L., Fusco, N., Pallara, D.: Functions of bounded variation and free discontinuity problems. Oxford Mathematical Monographs. Oxford University Press, New York, 2000.
  • 5
    • 77954027258 scopus 로고    scopus 로고
    • Ambrosio, L., Gigli, N., Savaré, G.: Gradient flows in metric spaces and in the space of probability measures. Lectures in Mathematics ETH Zürich. Birkhäuser Verlag, 2005.
  • 6
    • 33750297145 scopus 로고
    • Fine phase mixtures as minimizers of energy
    • Ball J. M., James R. D.: Fine phase mixtures as minimizers of energy. Arch. Rational Mech. Anal. 100(1), 13-52 (1987).
    • (1987) Arch. Rational Mech. Anal. , vol.100 , Issue.1 , pp. 13-52
    • Ball, J.M.1    James, R.D.2
  • 8
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    • Dondl, P. W., Bhattacharya, K.: Pinning and depinning of martensitic interfaces in the shallow slope approximation (in preparation).
  • 9
    • 0016569455 scopus 로고    scopus 로고
    • Ericksen, J. L.: Equilibrium of bars. J. Elasticity, 5(3-4), 191-201 (1975). Special issue dedicated to A. E. Green.
  • 10
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    • Evans, L. C.: Partial Differential Equations, volume 19 of Graduate Studies in Mathematics. American Mathematical Society, 1998.
  • 11
    • 77954033652 scopus 로고    scopus 로고
    • Gilbarg, D., Trudinger, N. S.: Elliptic Partial Differential Equations of Second Order. Classics in Mathematics. Springer-Verlag, Berlin, 2001. Reprint of the 1998 edition.
  • 12
    • 0000850415 scopus 로고
    • Implicit time discretization for the mean curvature flow equation
    • Luckhaus S., Sturzenhecker T.: Implicit time discretization for the mean curvature flow equation. Calc. Var. Partial Differ. Equ. 3(2), 253-271 (1995).
    • (1995) Calc. Var. Partial Differ. Equ. , vol.3 , Issue.2 , pp. 253-271
    • Luckhaus, S.1    Sturzenhecker, T.2
  • 13
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    • Mielke, A.: Evolution of rate-independent systems. In: Evolutionary Equations. Vol. II, Handbook of Differential Equations, pp. 461-559. Elsevier, Amsterdam, 2005.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.