메뉴 건너뛰기




Volumn 26, Issue 1, 2000, Pages 13-24

On the nucleation and propagation of thermoelastic phase transformations in anti-plane shear. Part 1. Couple-stress theory

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; KINEMATICS; MATHEMATICAL MODELS; NUCLEATION; SHAPE MEMORY EFFECT; STRESSES; THERMOELASTICITY;

EID: 0034226095     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660000146     Document Type: Article
Times cited : (3)

References (41)
  • 1
    • 0000296207 scopus 로고
    • On the driving traction acting on a surface of strain discontinuity in a continuum
    • Abeyaratne R, Knowles JK (1990) On the driving traction acting on a surface of strain discontinuity in a continuum. J. Mech. Phys. Solids 38: 345-360
    • (1990) J. Mech. Phys. Solids , vol.38 , pp. 345-360
    • Abeyaratne, R.1    Knowles, J.K.2
  • 2
    • 0026237436 scopus 로고
    • Implications of viscosity and strain-gradient effects for the kinetics of propagating phase boundaries in solids
    • Abeyaratne R, Knowles JK (1991a) Implications of viscosity and strain-gradient effects for the kinetics of propagating phase boundaries in solids. SIAM J. Appl. Math. 51: 1205-1221
    • (1991) SIAM J. Appl. Math. , vol.51 , pp. 1205-1221
    • Abeyaratne, R.1    Knowles, J.K.2
  • 3
    • 0008894832 scopus 로고
    • Kinetic relations and propagation of phase boundaries in solids
    • Abeyaratne R, Knowles JK (1991b) Kinetic relations and propagation of phase boundaries in solids. Arch. Rational Mech. Anal. 114: 119-154
    • (1991) Arch. Rational Mech. Anal. , vol.114 , pp. 119-154
    • Abeyaratne, R.1    Knowles, J.K.2
  • 4
    • 0027553650 scopus 로고
    • A continuum model of a thermoelastic solid capable of undergoing phase transitions
    • Abeyaratne R, Knowles JK (1993) A continuum model of a thermoelastic solid capable of undergoing phase transitions. J. Mech. Phys. Solids 41: 541-571
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 541-571
    • Abeyaratne, R.1    Knowles, J.K.2
  • 5
    • 0022196335 scopus 로고
    • Shape memory as a thermally activated process
    • Sawczuk A, Bianchi G (Eds.) Elsevier
    • Achenbach M, Müller I (1985) Shape memory as a thermally activated process. In: Sawczuk A, Bianchi G (Eds.) Plasticity Today, Elsevier, pp. 515-531
    • (1985) Plasticity Today , pp. 515-531
    • Achenbach, M.1    Müller, I.2
  • 6
    • 0026930049 scopus 로고
    • On the role of gradients in the localization of deformation and fracture
    • Aifantis EC (1992) On the role of gradients in the localization of deformation and fracture. Int. J. Eng. Sei. 30: 1279-1299
    • (1992) Int. J. Eng. Sei. , vol.30 , pp. 1279-1299
    • Aifantis, E.C.1
  • 9
    • 0021788792 scopus 로고
    • On the thermodynamics of interstitutial working
    • Dunn JE, Serrin J (1985) On the thermodynamics of interstitutial working. Arch. Rational Mech. Anal. 88: 95-133
    • (1985) Arch. Rational Mech. Anal. , vol.88 , pp. 95-133
    • Dunn, J.E.1    Serrin, J.2
  • 10
    • 0016569455 scopus 로고
    • Equilibrium of bars
    • Ericksen JL (1975) Equilibrium of bars. J. Elasticity 5: 191-201
    • (1975) J. Elasticity , vol.5 , pp. 191-201
    • Ericksen, J.L.1
  • 11
    • 0022906928 scopus 로고
    • Constitutive theory for some constrained elastic crystals
    • Ericksen JL (1986) Constitutive theory for some constrained elastic crystals. J. Solids Struct. 22: 951-964
    • (1986) J. Solids Struct. , vol.22 , pp. 951-964
    • Ericksen, J.L.1
  • 13
    • 0027841038 scopus 로고
    • A phenomenological theory for strain gradient effects in plasticity
    • Fleck NA, Hutchinson JW (1993) A phenomenological theory for strain gradient effects in plasticity. J. Mech. Phys. Solids 41: 1825-1857
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 1825-1857
    • Fleck, N.A.1    Hutchinson, J.W.2
  • 14
    • 26544469625 scopus 로고
    • Dynamic solid-solid transitions with phase characterized by an order parameter
    • Fried E, Gurtin ME (1994) Dynamic solid-solid transitions with phase characterized by an order parameter. Physica D 72: 287-308
    • (1994) Physica D , vol.72 , pp. 287-308
    • Fried, E.1    Gurtin, M.E.2
  • 15
    • 0031477337 scopus 로고    scopus 로고
    • An order-parameter based theory as a regularization of a sharp-interface theory for solid-solid phase transitions
    • Fried E, Grach G (1997) An order-parameter based theory as a regularization of a sharp-interface theory for solid-solid phase transitions. Arch. Rational Mech. Anal 138: 355-404
    • (1997) Arch. Rational Mech. Anal , vol.138 , pp. 355-404
    • Fried, E.1    Grach, G.2
  • 16
    • 0000141747 scopus 로고
    • The method of virtual power in continuum mechanics. Part 2: Microstructure
    • Germain P (1973) The method of virtual power in continuum mechanics. Part 2: Microstructure. SIAM J. Appl. Math. 25: 556-575
    • (1973) SIAM J. Appl. Math. , vol.25 , pp. 556-575
    • Germain, P.1
  • 17
    • 0025578340 scopus 로고
    • Multiphase thermomechanics with interfacial structure 3. Evolving phase boundaries in the presence of bulk deformation
    • Gurtin ME, Struthers A (1990) Multiphase thermomechanics with interfacial structure 3. Evolving phase boundaries in the presence of bulk deformation. Arch. Rational Mech. Anal. 112: 97-160
    • (1990) Arch. Rational Mech. Anal. , vol.112 , pp. 97-160
    • Gurtin, M.E.1    Struthers, A.2
  • 18
    • 0001965681 scopus 로고
    • The nature of configurational forces
    • Gurtin ME (1995) The nature of configurational forces. Arch. Rational Mech. Anal. 131: 67-100
    • (1995) Arch. Rational Mech. Anal. , vol.131 , pp. 67-100
    • Gurtin, M.E.1
  • 19
    • 0342997266 scopus 로고
    • On the effect of the heat generated during a stress-induced thermoelastic phase transformation
    • Kim S-J, Abeyaratne R (1995) On the effect of the heat generated during a stress-induced thermoelastic phase transformation. Continuum Mech. Thermodyn. 7: 1-22
    • (1995) Continuum Mech. Thermodyn. , vol.7 , pp. 1-22
    • Kim, S.-J.1    Abeyaratne, R.2
  • 20
    • 0000934468 scopus 로고
    • The computation of the dynamics of the martensitic transformation
    • Kloućek P, Luskin M (1994) The computation of the dynamics of the martensitic transformation. Continuum Mech. Thermodyn. 6: 209-240
    • (1994) Continuum Mech. Thermodyn. , vol.6 , pp. 209-240
    • Kloućek, P.1    Luskin, M.2
  • 21
    • 0001799940 scopus 로고
    • Sur la forme que prennent less equations du mouvement des fluides si l'on tient compte des forces capillaires par des variations de densite
    • Korteweg DJ (1901) Sur la forme que prennent less equations du mouvement des fluides si l'on tient compte des forces capillaires par des variations de densite. Archives Neerlandaises des sciences exactes and naturelles, Series II 6: 1-24
    • (1901) Archives Neerlandaises des Sciences Exactes and Naturelles, Series II , vol.6 , pp. 1-24
    • Korteweg, D.J.1
  • 23
    • 0004440919 scopus 로고
    • On finite anti-plane shear for incompressible elastic materials
    • Knowles JK (1976) On finite anti-plane shear for incompressible elastic materials. J. Aust. Math. Soc. Series B 19: 400-415
    • (1976) J. Aust. Math. Soc. Series B , vol.19 , pp. 400-415
    • Knowles, J.K.1
  • 24
    • 0003043072 scopus 로고
    • A note on anti-plane shear for compressible materials in finite elastostatics
    • Knowles JK (1977) A note on anti-plane shear for compressible materials in finite elastostatics. J. Aust. Math. Soc. Series B 20: 1-7
    • (1977) J. Aust. Math. Soc. Series B , vol.20 , pp. 1-7
    • Knowles, J.K.1
  • 25
    • 0018455713 scopus 로고
    • On the dissipation associated with equilibrium shocks in finite elasticity
    • Knowles JK (1979) On the dissipation associated with equilibrium shocks in finite elasticity. J. Elasticity 9: 131-158
    • (1979) J. Elasticity , vol.9 , pp. 131-158
    • Knowles, J.K.1
  • 26
    • 0347284844 scopus 로고    scopus 로고
    • On the computation of crystaline microstructure
    • Luskin M (1996) On the computation of crystaline microstructure. Acta Numerica 191-257
    • (1996) Acta Numerica , pp. 191-257
    • Luskin, M.1
  • 28
    • 0040366845 scopus 로고
    • Micro-structure in linear elasticity
    • Mindlin RD (1964) Micro-structure in linear elasticity. Arch. Rational Mech. Anal. 16: 51-78
    • (1964) Arch. Rational Mech. Anal. , vol.16 , pp. 51-78
    • Mindlin, R.D.1
  • 29
    • 0025903169 scopus 로고
    • The influence of microstructure-induced gradients on the localization of deformation in viscoplastic materials
    • Mühlhaus HB, Aifantis EC (1991) The influence of microstructure-induced gradients on the localization of deformation in viscoplastic materials. Acta Mechanica 89: 217-231
    • (1991) Acta Mechanica , vol.89 , pp. 217-231
    • Mühlhaus, H.B.1    Aifantis, E.C.2
  • 32
    • 0002597296 scopus 로고
    • An equal area rule for dissipative kinetics of propagating strain discontinuities
    • Rosakis P (1995) An equal area rule for dissipative kinetics of propagating strain discontinuities. SIAM J. Appl. Math. 55: 100-123
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 100-123
    • Rosakis, P.1
  • 33
    • 0020500507 scopus 로고
    • Admissibility criteria for propagating phase boundaries in a van der Waals fluid
    • Slemrod M (1983) Admissibility criteria for propagating phase boundaries in a van der Waals fluid. Arch. Rational Mech. Anal. 81: 301-315
    • (1983) Arch. Rational Mech. Anal. , vol.81 , pp. 301-315
    • Slemrod, M.1
  • 34
    • 33947180779 scopus 로고
    • Elastic materials with couple-stresses
    • Toupin RA (1962) Elastic materials with couple-stresses. Arch. Rational Mech. Anal. 11: 385-414
    • (1962) Arch. Rational Mech. Anal. , vol.11 , pp. 385-414
    • Toupin, R.A.1
  • 35
    • 34250940617 scopus 로고
    • Theories of elasticity with couple stress
    • Toupin RA (1964) Theories of elasticity with couple stress. Arch. Rational Mech. Anal. 17: 85-112
    • (1964) Arch. Rational Mech. Anal. , vol.17 , pp. 85-112
    • Toupin, R.A.1
  • 36
    • 0030215097 scopus 로고    scopus 로고
    • Ericksen's bar revisited: Energy Wiggles
    • Truskinovsky L, Zanzotto G (1996) Ericksen's bar revisited: Energy Wiggles. J. Mech. Solids 44: 1371-1408
    • (1996) J. Mech. Solids , vol.44 , pp. 1371-1408
    • Truskinovsky, L.1    Zanzotto, G.2
  • 37
    • 0001406008 scopus 로고
    • Structure of an isothermal discontinuity
    • Truskinovsky L (1985) Structure of an isothermal discontinuity, Soviet Phys. Dokl. 30: 945-948
    • (1985) Soviet Phys. Dokl. , vol.30 , pp. 945-948
    • Truskinovsky, L.1
  • 38
    • 0030414078 scopus 로고    scopus 로고
    • Gradient Elasticity with surface energy: Mode-III crack problem
    • Vardoulakis I, Exadaktylos G, Aifantis E (1996) Gradient Elasticity with surface energy: Mode-III crack problem. Int. J. Solids Struct. 33: 4531-4559
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 4531-4559
    • Vardoulakis, I.1    Exadaktylos, G.2    Aifantis, E.3
  • 39
    • 0003389412 scopus 로고
    • Theoretische studien über die elasticitätsverhältnisse der Krystalle. Über medien ohne innere Kräfte und eine durch sie gelieferte mechanische deutung der Maxwell-Hertzschen Gleichungen
    • Voight W (1887) Theoretische Studien über die Elasticitätsverhältnisse der Krystalle. Über Medien ohne innere Kräfte und eine durch sie gelieferte mechanische Deutung der Maxwell-Hertzschen Gleichungen. Abh. Ges. Wiss. Göttingen 34: 72-79
    • (1887) Abh. Ges. Wiss. Göttingen , vol.34 , pp. 72-79
    • Voight, W.1
  • 40
    • 0030269548 scopus 로고    scopus 로고
    • Crack tip fields in strain gradient plasticity
    • Xia C, Hutchinson JW (1996) Crack tip fields in strain gradient plasticity. J. Mech. Phys. Solids 44: 1621-1648
    • (1996) J. Mech. Phys. Solids , vol.44 , pp. 1621-1648
    • Xia, C.1    Hutchinson, J.W.2
  • 41
    • 0030101555 scopus 로고    scopus 로고
    • Computational methods for propagating phase boundaries
    • Zhong X, Hou TY, LeFloch P (1996) Computational methods for propagating phase boundaries. J. Comput. Phys. 124: 192-216
    • (1996) J. Comput. Phys. , vol.124 , pp. 192-216
    • Zhong, X.1    Hou, T.Y.2    LeFloch, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.