메뉴 건너뛰기




Volumn 25, Issue 15, 2002, Pages 1281-1298

Visco-elasto-plastic model for martensitic phase transformation in shape-memory alloys

Author keywords

Activation; Dissipation; Double well problem; Evolution; Martensite; Non convex variational problems; Quasiplasticity; Twinning

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ELASTOPLASTICITY; FINITE ELEMENT METHOD; MARTENSITIC TRANSFORMATIONS; MATHEMATICAL MODELS; VARIATIONAL TECHNIQUES; VISCOSITY;

EID: 0036795283     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/mma.335     Document Type: Article
Times cited : (23)

References (42)
  • 5
    • 0347284844 scopus 로고    scopus 로고
    • On the computation of crystalline microstructure
    • Luskin M. On the computation of crystalline microstructure. Acta Numerica 1996; 5:191-257.
    • (1996) Acta Numerica , vol.5 , pp. 191-257
    • Luskin, M.1
  • 8
    • 84953602308 scopus 로고
    • Branching of twins near an austenite/twinned-martensite interface
    • Kohn R.V., Müller S. Branching of twins near an austenite/twinned-martensite interface. Philosophical Magazine 1992; A 66:697-715.
    • (1992) Philosophical Magazine , vol.A 66 , pp. 697-715
    • Kohn, R.V.1    Müller, S.2
  • 9
  • 10
    • 0019284770 scopus 로고
    • Model flee energy, mechanics and thermodynamics of shape memory alloys
    • Falk F. Model flee energy, mechanics and thermodynamics of shape memory alloys. Acta Metallurgica 1980; 28:1773-1780.
    • (1980) Acta Metallurgica , vol.28 , pp. 1773-1780
    • Falk, F.1
  • 12
    • 0030495409 scopus 로고    scopus 로고
    • Landau-Ginzburg model for a deformation-driven experiment on shape memory alloys
    • Bubner N. Landau-Ginzburg model for a deformation-driven experiment on shape memory alloys. Continuum Mechanics and Thermodynamics 1996; 8:293-308.
    • (1996) Continuum Mechanics and Thermodynamics , vol.8 , pp. 293-308
    • Bubner, N.1
  • 13
    • 0002434735 scopus 로고
    • Three-dimensional Landau theory describing the martensitic phase transformation of shape-memory alloys
    • Falk F., Konopka P. Three-dimensional Landau theory describing the martensitic phase transformation of shape-memory alloys. Journal of Condensed Matter 1990; 2:61-77.
    • (1990) Journal of Condensed Matter , vol.2 , pp. 61-77
    • Falk, F.1    Konopka, P.2
  • 15
    • 0030552415 scopus 로고    scopus 로고
    • Dynamics as a mechanism preventing the formation of finer and finer microstructure
    • Friesecke G., McLeod J.B. Dynamics as a mechanism preventing the formation of finer and finer microstructure. Archive for Rational Mechanics and Analysis 1996; 133:199-247.
    • (1996) Archive for Rational Mechanics and Analysis , vol.133 , pp. 199-247
    • Friesecke, G.1    McLeod, J.B.2
  • 16
    • 0023170272 scopus 로고
    • Phase transitions in one-dimensional non-linear viscoelasticity: Admissibility and stability
    • Pego R.L. Phase transitions in one-dimensional non-linear viscoelasticity: Admissibility and stability. Archive for Rational Meehanics and Analysis 1987; 97:353-394.
    • (1987) Archive for Rational Meehanics and Analysis , vol.97 , pp. 353-394
    • Pego, R.L.1
  • 17
    • 84974082050 scopus 로고
    • Dynamical modelling of phase transitions by means of viscoelasticity in many dimensions
    • Rybka P. Dynamical modelling of phase transitions by means of viscoelasticity in many dimensions. Proceedings of the Royal Society of Edinburgh 1992; 121A:101-138.
    • (1992) Proceedings of the Royal Society of Edinburgh , vol.121 A , pp. 101-138
    • Rybka, P.1
  • 18
    • 0003086507 scopus 로고    scopus 로고
    • Convergence of solutions to the equation of quasi-static approximation of viscoelasticity with capillarity
    • Rybka P., Hoffmann K.-H. Convergence of solutions to the equation of quasi-static approximation of viscoelasticity with capillarity. Journal of the Mathematical Analysis and Applications 1998; 226:61-81.
    • (1998) Journal of the Mathematical Analysis and Applications , vol.226 , pp. 61-81
    • Rybka, P.1    Hoffmann, K.-H.2
  • 19
    • 21144484260 scopus 로고
    • Energy minimization and the formation of microstructure in dynamic anti-plane shear
    • Swart P.J., Holmes P.J. Energy minimization and the formation of microstructure in dynamic anti-plane shear. Arehive for Rational Mechanics and Analysis 1992; 121:37-85.
    • (1992) Arehive for Rational Mechanics and Analysis , vol.121 , pp. 37-85
    • Swart, P.J.1    Holmes, P.J.2
  • 21
    • 0000934468 scopus 로고
    • The computation of the dynamics of the martensitic transformation
    • Klouǔek P. Luskin M. The computation of the dynamics of the martensitic transformation. Continuum Mechanics and Thermodynamics 1994; 6:209-240.
    • (1994) Continuum Mechanics and Thermodynamics , vol.6 , pp. 209-240
    • Klouǔek, P.1    Luskin, M.2
  • 22
    • 0010766542 scopus 로고    scopus 로고
    • Computation of microstructure with interracial energies
    • (Preprint, Herio-Watt University, 1997) Bock H.G. et al. (eds). World Scientific: Singapore
    • Plecháč P. Computation of microstructure with interracial energies. (Preprint, Herio-Watt University, 1997) In ENUMATH 97, Bock H.G. et al. (eds). World Scientific: Singapore, 1998.
    • (1998) ENUMATH 97
    • Plecháč, P.1
  • 23
    • 0000533680 scopus 로고    scopus 로고
    • Hysteresis and stick-slip motion of phase boundaries in dynamic models of phase transitions
    • Vainchtein A. Rosakis P. Hysteresis and stick-slip motion of phase boundaries in dynamic models of phase transitions. Journal of Nonlinear Science 1999; 9:697-719.
    • (1999) Journal of Nonlinear Science , vol.9 , pp. 697-719
    • Vainchtein, A.1    Rosakis, P.2
  • 24
    • 0000242734 scopus 로고
    • Travelling wave solutions as dynamic phase transitions in shape memory alloys
    • Garcke H. Travelling wave solutions as dynamic phase transitions in shape memory alloys. Journal of Differential Equations 1995; 121:203-231.
    • (1995) Journal of Differential Equations , vol.121 , pp. 203-231
    • Garcke, H.1
  • 25
    • 84988147740 scopus 로고
    • Existence of solutions to some non-linear thermoelastic systems with viscosity
    • Hoffmann K.-H., Zochowski A. Existence of solutions to some non-linear thermoelastic systems with viscosity. Mathematical Methods in the Applied Sciences 1992; 15:187-204.
    • (1992) Mathematical Methods in the Applied Sciences , vol.15 , pp. 187-204
    • Hoffmann, K.-H.1    Zochowski, A.2
  • 27
    • 0347573291 scopus 로고    scopus 로고
    • Three-dimensional model of thermomechanical evolution of shape memory materials
    • Pawłow I. Three-dimensional model of thermomechanical evolution of shape memory materials. Control and Cybernetics 2000; 29:341-365.
    • (2000) Control and Cybernetics , vol.29 , pp. 341-365
    • Pawłow, I.1
  • 28
    • 38249024531 scopus 로고
    • Global existence for thermomechanical processes with non-convex free energies of Ginzburg-Landau form
    • Sprekels J. Global existence for thermomechanical processes with non-convex free energies of Ginzburg-Landau form. Journal of the Mathematical Analysis and Applications 1989; 141:333-348.
    • (1989) Journal of the Mathematical Analysis and Applications , vol.141 , pp. 333-348
    • Sprekels, J.1
  • 31
    • 34249964601 scopus 로고
    • On the size of the hysteresis in pseudoelasticity
    • Müller I. On the size of the hysteresis in pseudoelasticity. Continuum Mechanics and Thermodynamics 1989; 1:125-142.
    • (1989) Continuum Mechanics and Thermodynamics , vol.1 , pp. 125-142
    • Müller, I.1
  • 32
    • 0010902807 scopus 로고    scopus 로고
    • Thermodynamic aspects of shape memory alloys
    • Airoldi G. (ed). Trans. Tech. Publ.: Zürich, in print.
    • Müller I. Seelecke S. Thermodynamic aspects of shape memory alloys. In From Microstructure to Macroscopic Properties, Airoldi G. (ed). Trans. Tech. Publ.: Zürich, in print.
    • From Microstructure to Macroscopic Properties
    • Müller, I.1    Seelecke, S.2
  • 34
    • 0002980591 scopus 로고    scopus 로고
    • Dissipative evolution of microstructure in shape memory alloys
    • Bungartz H.-J., Hoppe R.H.W., Zenger C. (eds). Springer: Berlin
    • Roubíček T. Dissipative evolution of microstructure in shape memory alloys. In Lectures on Applied Mathematics. Bungartz H.-J., Hoppe R.H.W., Zenger C. (eds). Springer: Berlin, 2000; 45-63.
    • (2000) Lectures on Applied Mathematics , pp. 45-63
    • Roubíček, T.1
  • 36
    • 0002902403 scopus 로고    scopus 로고
    • A mathematical model for rate-independent phase transformations with hysteresis
    • Eds.: H.-D. Alder, R. Balean, R. Farwlg, Shaker Ver., Aachen
    • Miclke A. Theil F. A mathematical model for rate-independent phase transformations with hysteresis. In: Models of continuum mechanics in analysis and engineering. (Eds.: H.-D. Alder, R. Balean, R. Farwlg), Shaker Ver., Aachen, 1999, pp. 117-129.
    • (1999) Models of continuum mechanics in analysis and engineering , pp. 117-129
    • Miclke, A.1    Theil, F.2
  • 37
    • 0030676495 scopus 로고    scopus 로고
    • Inelastic behaviour of materials II: Energetics associated with twinning
    • Rajagopal K.R., Srinivasa A.R. Inelastic behaviour of materials II: Energetics associated with twinning. International Journal of Plasticity 1997; 13:1-35.
    • (1997) International Journal of Plasticity , vol.13 , pp. 1-35
    • Rajagopal, K.R.1    Srinivasa, A.R.2
  • 39
    • 0003271269 scopus 로고    scopus 로고
    • Evolution model for martensitic phase transformation in shape-memory alloys
    • in print
    • Roubíček T. Evolution model for martensitic phase transformation in shape-memory alloys. Interfaces and Free Boundaries 2002; 4, in print.
    • (2002) Interfaces and Free Boundaries , vol.4
    • Roubíček, T.1
  • 41
    • 0021481124 scopus 로고
    • Newton-type minimization via the Lánczos method
    • Nash S. Newton-type minimization via the Lánczos method. SIAM Journal on Numerical Analysis 1984; 21: 770-788.
    • (1984) SIAM Journal on Numerical Analysis , vol.21 , pp. 770-788
    • Nash, S.1
  • 42
    • 0032002852 scopus 로고    scopus 로고
    • Deformation twinning during impact - Numerical calculations using a constitutive theory based on multiple natural configuration
    • Lapczyk I. Rajagopal K.R., Srinivasa A.R. Deformation twinning during impact - Numerical calculations using a constitutive theory based on multiple natural configuration. Computational Mechanics 1998; 21:20-27.
    • (1998) Computational Mechanics , vol.21 , pp. 20-27
    • Lapczyk, I.1    Rajagopal, K.R.2    Srinivasa, A.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.