메뉴 건너뛰기




Volumn 23, Issue 2, 2007, Pages 183-206

Shakedown analysis of shape memory alloy structures

Author keywords

Constitutive relation; Cyclic plasticity; Phase transformation; Ratcheting; Shakedown analysis; Shape memory alloy

Indexed keywords

BEARING CAPACITY; CYCLIC LOADS; PHASE TRANSITIONS; PLASTIC DEFORMATION; PLASTICITY;

EID: 33750370541     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2006.04.001     Document Type: Article
Times cited : (63)

References (53)
  • 1
    • 16244409488 scopus 로고    scopus 로고
    • Shakedown of complex structures according to various hardening rules
    • Abdel-Karim M. Shakedown of complex structures according to various hardening rules. Int. J. Press. Vess. Piping 82 (2005) 427-458
    • (2005) Int. J. Press. Vess. Piping , vol.82 , pp. 427-458
    • Abdel-Karim, M.1
  • 3
    • 0029310774 scopus 로고
    • Plane strain stress distributions in discrete and blended coated solids under normal and sliding contact
    • Anderson I.A., and Collins I.F. Plane strain stress distributions in discrete and blended coated solids under normal and sliding contact. Wear 185 (1995) 23-33
    • (1995) Wear , vol.185 , pp. 23-33
    • Anderson, I.A.1    Collins, I.F.2
  • 4
    • 0031272492 scopus 로고    scopus 로고
    • Review of mechanics of shape memory alloy structures
    • Birman V. Review of mechanics of shape memory alloy structures. Appl. Mech. Rev. 50 (1997) 629-645
    • (1997) Appl. Mech. Rev. , vol.50 , pp. 629-645
    • Birman, V.1
  • 5
    • 0037400362 scopus 로고    scopus 로고
    • A new approach to shakedown analysis for non-standard elastoplastic material by the bipotential
    • Bousshine L., Chaaba A., and de Saxce G. A new approach to shakedown analysis for non-standard elastoplastic material by the bipotential. Int. J. Plasticity 19 (2003) 583-598
    • (2003) Int. J. Plasticity , vol.19 , pp. 583-598
    • Bousshine, L.1    Chaaba, A.2    de Saxce, G.3
  • 6
    • 2942601683 scopus 로고    scopus 로고
    • A phenomenological model for pseudoelasticity of shape memory alloys under multiaxial proportional and nonproportional loadings
    • Bouvet C., Calloch S., and Lexcellent C. A phenomenological model for pseudoelasticity of shape memory alloys under multiaxial proportional and nonproportional loadings. Eur. J. Mech. A/Solids 23 (2004) 37-61
    • (2004) Eur. J. Mech. A/Solids , vol.23 , pp. 37-61
    • Bouvet, C.1    Calloch, S.2    Lexcellent, C.3
  • 7
    • 0027575167 scopus 로고
    • One dimensional constitutive behavior of shape memory alloys: thermomechanical derivation with non-constant material functions and redefined martensite internal variable
    • Brinson L.C. One dimensional constitutive behavior of shape memory alloys: thermomechanical derivation with non-constant material functions and redefined martensite internal variable. J. Intell. Mater. Syst. Struct. 4 (1993) 229-242
    • (1993) J. Intell. Mater. Syst. Struct. , vol.4 , pp. 229-242
    • Brinson, L.C.1
  • 8
    • 0032639891 scopus 로고    scopus 로고
    • Multiscale modeling of the damaged plastic behaviour and failure of Al/SiCp composites
    • Derrien K., Baptiste D., Guedra-Degeorges D., and Foulquier J. Multiscale modeling of the damaged plastic behaviour and failure of Al/SiCp composites. Int. J. Plasticity 15 (1999) 667-685
    • (1999) Int. J. Plasticity , vol.15 , pp. 667-685
    • Derrien, K.1    Baptiste, D.2    Guedra-Degeorges, D.3    Foulquier, J.4
  • 9
    • 0031598994 scopus 로고    scopus 로고
    • On adaptation (shakedown) of a class damaged elastic-plastic bodies to cyclic loading
    • Druyanov B., and Roman I. On adaptation (shakedown) of a class damaged elastic-plastic bodies to cyclic loading. Eur. J. Mech. A/Solids 17 (1998) 71-78
    • (1998) Eur. J. Mech. A/Solids , vol.17 , pp. 71-78
    • Druyanov, B.1    Roman, I.2
  • 10
    • 0042843619 scopus 로고    scopus 로고
    • On adaptation of elastic plastic anisotropic damage structures to cyclic loading
    • Druyanov B., and Roman I. On adaptation of elastic plastic anisotropic damage structures to cyclic loading. Acta Mech. 163 (2004) 1-8
    • (2004) Acta Mech. , vol.163 , pp. 1-8
    • Druyanov, B.1    Roman, I.2
  • 11
    • 0032647814 scopus 로고    scopus 로고
    • A global/local shakedown analysis method of elastoplastic cracked structures
    • Feng X.Q., and Gross D. A global/local shakedown analysis method of elastoplastic cracked structures. Eng. Fract. Mech. 63 (1999) 179-192
    • (1999) Eng. Fract. Mech. , vol.63 , pp. 179-192
    • Feng, X.Q.1    Gross, D.2
  • 12
    • 0030348845 scopus 로고    scopus 로고
    • On shakedown of three-dimensional elastoplastic strain-hardening structures
    • Feng X.Q., and Liu X.S. On shakedown of three-dimensional elastoplastic strain-hardening structures. Int. J. Plasticity 12 (1996) 1241-1256
    • (1996) Int. J. Plasticity , vol.12 , pp. 1241-1256
    • Feng, X.Q.1    Liu, X.S.2
  • 13
    • 84973751863 scopus 로고
    • An upper bound on damage of elastic-plastic structures at shakedown
    • Feng X.Q., and Yu S.W. An upper bound on damage of elastic-plastic structures at shakedown. Int. J. Damage Mech. 3 (1994) 277-289
    • (1994) Int. J. Damage Mech. , vol.3 , pp. 277-289
    • Feng, X.Q.1    Yu, S.W.2
  • 14
    • 0029231642 scopus 로고
    • Damage and shakedown analysis of structures with strain-hardening
    • Feng X.Q., and Yu S.W. Damage and shakedown analysis of structures with strain-hardening. Int. J. Plasticity 11 (1995) 237-249
    • (1995) Int. J. Plasticity , vol.11 , pp. 237-249
    • Feng, X.Q.1    Yu, S.W.2
  • 16
    • 0025603543 scopus 로고
    • A unified formulation of statical shakedown criteria for geometrically nonlinear problems
    • Gross-Weege J. A unified formulation of statical shakedown criteria for geometrically nonlinear problems. Int. J. Plasticity 6 (1990) 433-447
    • (1990) Int. J. Plasticity , vol.6 , pp. 433-447
    • Gross-Weege, J.1
  • 17
    • 0031126445 scopus 로고    scopus 로고
    • On the numerical assessment of the safety factor of elastic-plastic structures under variable loading
    • Gross-Weege J. On the numerical assessment of the safety factor of elastic-plastic structures under variable loading. Int. J. Mech. Sci. 39 (1997) 417-433
    • (1997) Int. J. Mech. Sci. , vol.39 , pp. 417-433
    • Gross-Weege, J.1
  • 18
    • 0000599481 scopus 로고
    • An extension of the static shakedown theorem to a certain class of inelastic materials with damage
    • Hachemi A., and Weichert D. An extension of the static shakedown theorem to a certain class of inelastic materials with damage. Arch. Mech. 44 (1992) 491-498
    • (1992) Arch. Mech. , vol.44 , pp. 491-498
    • Hachemi, A.1    Weichert, D.2
  • 19
    • 0346394078 scopus 로고    scopus 로고
    • Multiscale computational simulation of deformation behavior of TRIP steel with growth of martensitic particles in unit cell by asymptotic homogenization method
    • Iwamoto T. Multiscale computational simulation of deformation behavior of TRIP steel with growth of martensitic particles in unit cell by asymptotic homogenization method. Int. J. Plasticity 20 (2004) 841-869
    • (2004) Int. J. Plasticity , vol.20 , pp. 841-869
    • Iwamoto, T.1
  • 20
    • 0002718896 scopus 로고
    • A new general theorem on shakedown of elastic-plastic structures
    • Koiter W.T. A new general theorem on shakedown of elastic-plastic structures. Proc. Konink. Nederl. Akad. Wetensch. B 59 (1956) 24-34
    • (1956) Proc. Konink. Nederl. Akad. Wetensch. B , vol.59 , pp. 24-34
    • Koiter, W.T.1
  • 21
    • 0000058964 scopus 로고
    • General theorems for elastic-plastic solids
    • Sneddon I.N., and Hill R. (Eds), North Holland, Amsterdam
    • Koiter W.T. General theorems for elastic-plastic solids. In: Sneddon I.N., and Hill R. (Eds). Progress in Solids Mechanics (1960), North Holland, Amsterdam 165-221
    • (1960) Progress in Solids Mechanics , pp. 165-221
    • Koiter, W.T.1
  • 23
    • 0019598296 scopus 로고
    • Shakedown analysis of elastoplastic structures: a review of recent developments
    • König J.A., and Maier G. Shakedown analysis of elastoplastic structures: a review of recent developments. Nucl. Eng. Des. 66 (1981) 81-92
    • (1981) Nucl. Eng. Des. , vol.66 , pp. 81-92
    • König, J.A.1    Maier, G.2
  • 24
    • 2342466082 scopus 로고    scopus 로고
    • Modeling of transformation-induced plasticity and its effect on the behavior of porous shape memory alloys. Part I: Constitutive model for fully dense SMAs
    • Lagoudas D.C., and Entchev P.B. Modeling of transformation-induced plasticity and its effect on the behavior of porous shape memory alloys. Part I: Constitutive model for fully dense SMAs. Mech. Mater. 36 (2004) 865-892
    • (2004) Mech. Mater. , vol.36 , pp. 865-892
    • Lagoudas, D.C.1    Entchev, P.B.2
  • 25
    • 0032019122 scopus 로고    scopus 로고
    • Thermomechanical theory of martensitic phase transformations in inelastic materials
    • Levitas V.I. Thermomechanical theory of martensitic phase transformations in inelastic materials. Int. J. Solids Struct. 35 (1998) 889-940
    • (1998) Int. J. Solids Struct. , vol.35 , pp. 889-940
    • Levitas, V.I.1
  • 26
    • 0036826873 scopus 로고    scopus 로고
    • Critical thought experiment to choose the driving force for interface propagation in inelastic materials
    • Levitas V.I. Critical thought experiment to choose the driving force for interface propagation in inelastic materials. Int. J. Plasticity 18 (2002) 1499-1525
    • (2002) Int. J. Plasticity , vol.18 , pp. 1499-1525
    • Levitas, V.I.1
  • 27
    • 1542357549 scopus 로고    scopus 로고
    • Limit analysis of ductile composites based on homogenization theory
    • Li H.X., Liu Y.H., Feng X.Q., and Cen Z.Z. Limit analysis of ductile composites based on homogenization theory. Proc. Roy. Soc. London A 459 (2003) 659-675
    • (2003) Proc. Roy. Soc. London A , vol.459 , pp. 659-675
    • Li, H.X.1    Liu, Y.H.2    Feng, X.Q.3    Cen, Z.Z.4
  • 28
    • 4544267927 scopus 로고    scopus 로고
    • Lower bound shakedown analysis by the symmetric Galerkin boundary element method
    • Liu Y.H., Zhang X.F., and Cen Z.Z. Lower bound shakedown analysis by the symmetric Galerkin boundary element method. Int. J. Plasticity 21 (2005) 21-42
    • (2005) Int. J. Plasticity , vol.21 , pp. 21-42
    • Liu, Y.H.1    Zhang, X.F.2    Cen, Z.Z.3
  • 29
    • 25444524569 scopus 로고    scopus 로고
    • Thermomechanics of shape memory polymers: uniaxial experiments and constitutive modeling
    • Liu Y., Gall K., Dunn M.L., Greenberg A.R., and Diani J. Thermomechanics of shape memory polymers: uniaxial experiments and constitutive modeling. Int. J. Plasticity 22 (2006) 279-313
    • (2006) Int. J. Plasticity , vol.22 , pp. 279-313
    • Liu, Y.1    Gall, K.2    Dunn, M.L.3    Greenberg, A.R.4    Diani, J.5
  • 30
    • 2342559138 scopus 로고    scopus 로고
    • Elastic plastic shakedown of 3D periodic heterogeneous media: a direct numerical approach
    • Magoariec H., Bourgeois S., and Débordes O. Elastic plastic shakedown of 3D periodic heterogeneous media: a direct numerical approach. Int. J. Plasticity 20 (2004) 1655-1675
    • (2004) Int. J. Plasticity , vol.20 , pp. 1655-1675
    • Magoariec, H.1    Bourgeois, S.2    Débordes, O.3
  • 31
    • 0011219829 scopus 로고    scopus 로고
    • On some issues in shakedown analysis
    • Maier G. On some issues in shakedown analysis. Trans. ASME J. Appl. Mech. 68 (2001) 799-808
    • (2001) Trans. ASME J. Appl. Mech. , vol.68 , pp. 799-808
    • Maier, G.1
  • 32
    • 0001763669 scopus 로고
    • Zur Plastizität des räumlichen Kontinuums
    • Melan E. Zur Plastizität des räumlichen Kontinuums. Ing.-Arch. 9 (1938) 115-126
    • (1938) Ing.-Arch. , vol.9 , pp. 115-126
    • Melan, E.1
  • 33
    • 33748108358 scopus 로고    scopus 로고
    • A thermodynamic finite-strain model for pseudoelastic shape memory alloys
    • Müller C., and Bruhns O.T. A thermodynamic finite-strain model for pseudoelastic shape memory alloys. Int. J. Plasticity 22 (2006) 1658-1682
    • (2006) Int. J. Plasticity , vol.22 , pp. 1658-1682
    • Müller, C.1    Bruhns, O.T.2
  • 34
    • 0037209898 scopus 로고    scopus 로고
    • On shakedown analysis in hardening plasticity
    • Nguyen Q.S. On shakedown analysis in hardening plasticity. J. Mech. Phys. Solids 51 (2003) 101-125
    • (2003) J. Mech. Phys. Solids , vol.51 , pp. 101-125
    • Nguyen, Q.S.1
  • 35
    • 0032156681 scopus 로고    scopus 로고
    • Stress-induced martensitic transformation of a NiTi alloy in isothermal shear, tension and compression
    • Orgéas L., and Favier D. Stress-induced martensitic transformation of a NiTi alloy in isothermal shear, tension and compression. Acta Mater. 46 (1998) 5579-5591
    • (1998) Acta Mater. , vol.46 , pp. 5579-5591
    • Orgéas, L.1    Favier, D.2
  • 36
    • 0000390313 scopus 로고
    • Extended shakedown theorems for elastic plastic bodies under quasi-periodic dynamic loading
    • Pham D.C. Extended shakedown theorems for elastic plastic bodies under quasi-periodic dynamic loading. Proc. Roy. Soc. London A 439 (1992) 649-658
    • (1992) Proc. Roy. Soc. London A , vol.439 , pp. 649-658
    • Pham, D.C.1
  • 37
    • 0035340614 scopus 로고    scopus 로고
    • Shakedown kinematic theorem for elastic-perfectly plastic bodies
    • Pham D.C. Shakedown kinematic theorem for elastic-perfectly plastic bodies. Int. J. Plasticity 17 (2001) 773-780
    • (2001) Int. J. Plasticity , vol.17 , pp. 773-780
    • Pham, D.C.1
  • 38
    • 33750372684 scopus 로고
    • A unified treatment of shakedown theory and related bounding techniques
    • Polizzotto C. A unified treatment of shakedown theory and related bounding techniques. Solid Mech. Arch. 7 (1982) 191-275
    • (1982) Solid Mech. Arch. , vol.7 , pp. 191-275
    • Polizzotto, C.1
  • 39
    • 0034788911 scopus 로고    scopus 로고
    • Weak forms of shakedown for elastic-plastic structures exhibiting ductile damage
    • Polizzotto C., Borino G., and Fuschi P. Weak forms of shakedown for elastic-plastic structures exhibiting ductile damage. Meccanica 36 (2001) 49-66
    • (2001) Meccanica , vol.36 , pp. 49-66
    • Polizzotto, C.1    Borino, G.2    Fuschi, P.3
  • 40
    • 0029234274 scopus 로고
    • Shakedown theorems for some classes of nonassociative hardening elastic-plastic material models
    • Pycko S., and Maier G. Shakedown theorems for some classes of nonassociative hardening elastic-plastic material models. Int. J. Plasticity 11 (1995) 367-395
    • (1995) Int. J. Plasticity , vol.11 , pp. 367-395
    • Pycko, S.1    Maier, G.2
  • 41
    • 23044461175 scopus 로고    scopus 로고
    • The role of phase transition in the fretting behavior of NiTi shape memory alloy
    • Qian L.M., Zhou Z.R., and Sun Q.P. The role of phase transition in the fretting behavior of NiTi shape memory alloy. Wear 259 (2005) 309-318
    • (2005) Wear , vol.259 , pp. 309-318
    • Qian, L.M.1    Zhou, Z.R.2    Sun, Q.P.3
  • 42
    • 0033682646 scopus 로고    scopus 로고
    • On thermomechanics and transformation surfaces of polycrystalline NiTi shape memory alloy material
    • Qidwai M.A., and Lagoudas D.C. On thermomechanics and transformation surfaces of polycrystalline NiTi shape memory alloy material. Int. J. Plasticity 16 (2000) 1309-1343
    • (2000) Int. J. Plasticity , vol.16 , pp. 1309-1343
    • Qidwai, M.A.1    Lagoudas, D.C.2
  • 43
    • 0032010239 scopus 로고    scopus 로고
    • Thermodynamics of isotropic pseudoelasticity in shape memory alloys
    • Raniecki B., and Lexcellent C. Thermodynamics of isotropic pseudoelasticity in shape memory alloys. Eur. J. Mech. A/Solids 17 (1998) 185-205
    • (1998) Eur. J. Mech. A/Solids , vol.17 , pp. 185-205
    • Raniecki, B.1    Lexcellent, C.2
  • 44
    • 19944365919 scopus 로고    scopus 로고
    • Shape memory alloy actuators in smart structures: modeling and simulation
    • Seelecke S., and Müller I. Shape memory alloy actuators in smart structures: modeling and simulation. Appl. Mech. Rev. 57 (2004) 23-46
    • (2004) Appl. Mech. Rev. , vol.57 , pp. 23-46
    • Seelecke, S.1    Müller, I.2
  • 45
    • 0029359747 scopus 로고
    • Thermomechanical aspects of NiTi
    • Shaw J., and Kyriakides S. Thermomechanical aspects of NiTi. J. Mech. Phys. Solids 43 (1995) 1243-1281
    • (1995) J. Mech. Phys. Solids , vol.43 , pp. 1243-1281
    • Shaw, J.1    Kyriakides, S.2
  • 46
    • 0027557785 scopus 로고
    • Modeling and computation of shakedown problems for nonlinear hardening materials
    • Stein E., Zhang G., and Huang Y. Modeling and computation of shakedown problems for nonlinear hardening materials. Comput. Meth. Appl. Mech. Eng. 103 (1993) 247-272
    • (1993) Comput. Meth. Appl. Mech. Eng. , vol.103 , pp. 247-272
    • Stein, E.1    Zhang, G.2    Huang, Y.3
  • 47
    • 0008522866 scopus 로고
    • Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys-I. Derivation of general relations
    • Sun Q.P., and Hwang K.C. Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys-I. Derivation of general relations. J. Mech. Phys. Solids 41 (1993) 1-17
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 1-17
    • Sun, Q.P.1    Hwang, K.C.2
  • 48
    • 43949172060 scopus 로고
    • Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys-II. Study of the individual phenomena
    • Sun Q.P., and Hwang K.C. Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys-II. Study of the individual phenomena. J. Mech. Phys. Solids 41 (1993) 19-33
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 19-33
    • Sun, Q.P.1    Hwang, K.C.2
  • 49
    • 10044270967 scopus 로고    scopus 로고
    • A primal-dual algorithm for shakedown analysis of structures
    • Vu D.K., Yan A.M., and Nguyen-Dang H. A primal-dual algorithm for shakedown analysis of structures. Comput. Meth. Appl. Mech. Eng. 193 (2004) 4663-4674
    • (2004) Comput. Meth. Appl. Mech. Eng. , vol.193 , pp. 4663-4674
    • Vu, D.K.1    Yan, A.M.2    Nguyen-Dang, H.3
  • 50
    • 0032290709 scopus 로고    scopus 로고
    • Influence of geometrical nonlinearities on the shakedown of damaged structures
    • Weichert D., and Hachemi A. Influence of geometrical nonlinearities on the shakedown of damaged structures. Int. J. Plasticity 14 (1998) 891-907
    • (1998) Int. J. Plasticity , vol.14 , pp. 891-907
    • Weichert, D.1    Hachemi, A.2
  • 52
    • 0033189743 scopus 로고    scopus 로고
    • Extremum principles for bounds to shakedown loads
    • Zouain N., and Silveira J.L. Extremum principles for bounds to shakedown loads. Eur. J. Mech. A/Solids 18 (1999) 879-901
    • (1999) Eur. J. Mech. A/Solids , vol.18 , pp. 879-901
    • Zouain, N.1    Silveira, J.L.2
  • 53
    • 0037192729 scopus 로고    scopus 로고
    • An algorithm for shakedown analysis with nonlinear yield functions
    • Zouain N., Borges L., and Silveira J.L. An algorithm for shakedown analysis with nonlinear yield functions. Comput. Meth. Appl. Mech. Eng. 191 (2002) 2463-2481
    • (2002) Comput. Meth. Appl. Mech. Eng. , vol.191 , pp. 2463-2481
    • Zouain, N.1    Borges, L.2    Silveira, J.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.