메뉴 건너뛰기




Volumn 46, Issue 17, 2009, Pages 3301-3312

Size effect and localization in J2 plasticity

Author keywords

Dimensional analysis; Incompressibility; Plasticity; Softening and stabilization; Strain localization; Structural size effect

Indexed keywords

DIMENSIONAL ANALYSIS; INCOMPRESSIBILITY; SOFTENING AND STABILIZATION; STRAIN LOCALIZATION; STRUCTURAL SIZE EFFECT;

EID: 67249137891     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2009.04.025     Document Type: Article
Times cited : (35)

References (60)
  • 3
    • 0020750862 scopus 로고
    • Crack band theory for fracture of concrete
    • Bazant Z.P., and Oh B.H. Crack band theory for fracture of concrete. Materials and Structures 16 (1983) 155-177
    • (1983) Materials and Structures , vol.16 , pp. 155-177
    • Bazant, Z.P.1    Oh, B.H.2
  • 5
    • 0032649861 scopus 로고    scopus 로고
    • Elastic crack growth in finite elements with minimal remeshing
    • Belytschko T., and Black T. Elastic crack growth in finite elements with minimal remeshing. Comp. Meth. in Appl. Mech. and Eng. 45 5 (1999) 601-620
    • (1999) Comp. Meth. in Appl. Mech. and Eng. , vol.45 , Issue.5 , pp. 601-620
    • Belytschko, T.1    Black, T.2
  • 6
    • 0032072983 scopus 로고    scopus 로고
    • A simple average nodal pressure tetrahedral element for incompressible and nearly incompressible dynamic explicit applications
    • Bonet J., and Burton A.J. A simple average nodal pressure tetrahedral element for incompressible and nearly incompressible dynamic explicit applications. Comm. Num. Meths. in Eng. 14 (1998) 437-449
    • (1998) Comm. Num. Meths. in Eng. , vol.14 , pp. 437-449
    • Bonet, J.1    Burton, A.J.2
  • 7
    • 0035419143 scopus 로고    scopus 로고
    • An averaged nodal deformation gradient linear tetrahedral element for large strain explicit dynamic applications
    • Bonet J., Marriot H., and Hassan O. An averaged nodal deformation gradient linear tetrahedral element for large strain explicit dynamic applications. Comm. Num. Meths. in Eng. 17 (2001) 551-561
    • (2001) Comm. Num. Meths. in Eng. , vol.17 , pp. 551-561
    • Bonet, J.1    Marriot, H.2    Hassan, O.3
  • 8
    • 0035124633 scopus 로고    scopus 로고
    • Stability and comparison of different linear tetrahedral formulations for nearly incompressible explicit dynamic applications
    • Bonet J., Marriot H., and Hassan O. Stability and comparison of different linear tetrahedral formulations for nearly incompressible explicit dynamic applications. Int. Jour. for Num. Meths. in Eng. 50 (2001) 119-133
    • (2001) Int. Jour. for Num. Meths. in Eng. , vol.50 , pp. 119-133
    • Bonet, J.1    Marriot, H.2    Hassan, O.3
  • 10
    • 36149025564 scopus 로고
    • On physically similar systems: illustrations of the use of dimensional analysis
    • Buckingham E. On physically similar systems: illustrations of the use of dimensional analysis. Phys. Rev. 4 (1914) 345-376
    • (1914) Phys. Rev. , vol.4 , pp. 345-376
    • Buckingham, E.1
  • 11
    • 1442285033 scopus 로고    scopus 로고
    • COMET: COupled MEchanical and Thermal analysis. Data Input Manual
    • Version 5.0, Technical Report IT-308. Available from
    • Cervera, M., Agelet de Saracibar, C., Chiumenti, M., 2002. COMET: COupled MEchanical and Thermal analysis. Data Input Manual, Version 5.0, Technical Report IT-308. Available from: .
    • (2002)
    • Cervera, M.1    Agelet de Saracibar, C.2    Chiumenti, M.3
  • 15
    • 0037045082 scopus 로고    scopus 로고
    • A stabilized formulation for incompressible elasticity using linear displacement and pressure interpolations
    • Chiumenti M., Valverde Q., Agelet de Saracibar C., and Cervera M. A stabilized formulation for incompressible elasticity using linear displacement and pressure interpolations. Comp. Meth. in Appl. Mech. and Eng. 191 (2002) 5253-5264
    • (2002) Comp. Meth. in Appl. Mech. and Eng. , vol.191 , pp. 5253-5264
    • Chiumenti, M.1    Valverde, Q.2    Agelet de Saracibar, C.3    Cervera, M.4
  • 16
    • 2142641638 scopus 로고    scopus 로고
    • A stabilized formulation for incompressible plasticity using linear triangles and tetrahedra
    • Chiumenti M., Valverde Q., Agelet de Saracibar C., and Cervera M. A stabilized formulation for incompressible plasticity using linear triangles and tetrahedra. Int. J. of Plasticity 20 (2004) 1487-1504
    • (2004) Int. J. of Plasticity , vol.20 , pp. 1487-1504
    • Chiumenti, M.1    Valverde, Q.2    Agelet de Saracibar, C.3    Cervera, M.4
  • 17
    • 0034351658 scopus 로고    scopus 로고
    • Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
    • Codina R. Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods. Comp. Meth. in Appl. Mech. and Eng. 190 (2000) 1579-1599
    • (2000) Comp. Meth. in Appl. Mech. and Eng. , vol.190 , pp. 1579-1599
    • Codina, R.1
  • 18
    • 0031122288 scopus 로고    scopus 로고
    • A finite element method for the Stokes problem allowing equal velocity-pressure interpolations
    • Codina R., and Blasco J. A finite element method for the Stokes problem allowing equal velocity-pressure interpolations. Comp. Meth. in Appl. Mech. and Eng. 143 (1997) 373-391
    • (1997) Comp. Meth. in Appl. Mech. and Eng. , vol.143 , pp. 373-391
    • Codina, R.1    Blasco, J.2
  • 19
    • 0026405799 scopus 로고
    • Simulation of strain localization: a reappraisal of the Cosserat continuum
    • de Borst R. Simulation of strain localization: a reappraisal of the Cosserat continuum. Engineering Computations 8 (1991) 317-322
    • (1991) Engineering Computations , vol.8 , pp. 317-322
    • de Borst, R.1
  • 20
    • 0035840316 scopus 로고    scopus 로고
    • Some recent issues in computational failure mechanics
    • de Borst R. Some recent issues in computational failure mechanics. Int. J. Num. Meths. in Eng. 52 (2001) 63-95
    • (2001) Int. J. Num. Meths. in Eng. , vol.52 , pp. 63-95
    • de Borst, R.1
  • 21
    • 0026908533 scopus 로고
    • Gradient-dependent plasticity: formulation and algorithm aspect
    • de Borst R., and Mulhaus H.B. Gradient-dependent plasticity: formulation and algorithm aspect. Int. J. Num. Meths. in Engng. 35 (1992) 521-539
    • (1992) Int. J. Num. Meths. in Engng. , vol.35 , pp. 521-539
    • de Borst, R.1    Mulhaus, H.B.2
  • 26
    • 0000357002 scopus 로고
    • The phenomenon of rupture and flow of solids
    • Griffith A.A. The phenomenon of rupture and flow of solids. Philos. Trans. R. Soc. Lond. 22 (1921) 163-198
    • (1921) Philos. Trans. R. Soc. Lond. , vol.22 , pp. 163-198
    • Griffith, A.A.1
  • 28
    • 0029405472 scopus 로고
    • Multiscale phenomena: Green's function, Dirichlet-to Neumann formulation, subgrid scale models, bubbles and the origins of stabilized formulations
    • Hughes T.J.R. Multiscale phenomena: Green's function, Dirichlet-to Neumann formulation, subgrid scale models, bubbles and the origins of stabilized formulations. Comp. Meth. in Appl. Mech. and Eng. 127 (1995) 387-401
    • (1995) Comp. Meth. in Appl. Mech. and Eng. , vol.127 , pp. 387-401
    • Hughes, T.J.R.1
  • 31
    • 0032207233 scopus 로고    scopus 로고
    • Nonlocal models for damage and fracture: comparison of approaches
    • Jirásek M. Nonlocal models for damage and fracture: comparison of approaches. Int. J. Solids and Structures 35 (1998) 4133-4145
    • (1998) Int. J. Solids and Structures , vol.35 , pp. 4133-4145
    • Jirásek, M.1
  • 32
    • 0033356117 scopus 로고    scopus 로고
    • A stabilized mixed finite element method for finite elasticity. Formulation for linear displacement and pressure interpolation
    • Klaas O., Maniatty A., and Shephard M.S. A stabilized mixed finite element method for finite elasticity. Formulation for linear displacement and pressure interpolation. Comp. Meth. in Appl. Mech. and Eng. 180 (1999) 65-79
    • (1999) Comp. Meth. in Appl. Mech. and Eng. , vol.180 , pp. 65-79
    • Klaas, O.1    Maniatty, A.2    Shephard, M.S.3
  • 33
    • 67249158281 scopus 로고    scopus 로고
    • Mariotte, E., 1686. Traité du movement des eaux. J.T. Desvaguliers, London (English translation, 1718).
    • Mariotte, E., 1686. Traité du movement des eaux. J.T. Desvaguliers, London (English translation, 1718).
  • 34
  • 35
    • 2942746162 scopus 로고    scopus 로고
    • Embedded crack vs. smeared crack models: a comparison of elementwise discontinuous crack path approaches with emphasis on mesh bias
    • Mosler J., and Meschke G. Embedded crack vs. smeared crack models: a comparison of elementwise discontinuous crack path approaches with emphasis on mesh bias. Comp. Meth. in Appl. Mech. and Eng. 193 (2004) 3351-3375
    • (2004) Comp. Meth. in Appl. Mech. and Eng. , vol.193 , pp. 3351-3375
    • Mosler, J.1    Meschke, G.2
  • 36
    • 0024608212 scopus 로고
    • A consistent characteristic length for smeared cracking models
    • Oliver J. A consistent characteristic length for smeared cracking models. Int. J. Num. Meth. Engng. 28 (1989) 461-474
    • (1989) Int. J. Num. Meth. Engng. , vol.28 , pp. 461-474
    • Oliver, J.1
  • 37
    • 0029543980 scopus 로고
    • Continuum modeling of strong discontinuities in solid mechanics using damage models
    • Oliver J. Continuum modeling of strong discontinuities in solid mechanics using damage models. Computational Mechanics 17 (1995) 277-296
    • (1995) Computational Mechanics , vol.17 , pp. 277-296
    • Oliver, J.1
  • 38
    • 2942746163 scopus 로고    scopus 로고
    • Continuum approach to material failure in strong discontinuity settings
    • Oliver J., and Huespe A.E. Continuum approach to material failure in strong discontinuity settings. Comp. Meth. in Appl. Mech. and Eng. 193 (2004) 3195-3220
    • (2004) Comp. Meth. in Appl. Mech. and Eng. , vol.193 , pp. 3195-3220
    • Oliver, J.1    Huespe, A.E.2
  • 39
    • 0032668820 scopus 로고    scopus 로고
    • Strong discontinuities and continuum plasticity models: the strong discontinuity approach
    • Oliver J., Cervera M., and Manzoli O. Strong discontinuities and continuum plasticity models: the strong discontinuity approach. Int. J. of Plasticity 15 (1999) 319-351
    • (1999) Int. J. of Plasticity , vol.15 , pp. 319-351
    • Oliver, J.1    Cervera, M.2    Manzoli, O.3
  • 43
    • 2142766715 scopus 로고    scopus 로고
    • Stabilized linear triangles for failure problems in undrained soils
    • Idelshon, S, Oñate, E, Dvorkin, E, Eds, Computational Mechanics: New Trends and Applications, CIMNE, Barcelona, Spain
    • Pastor, M., Li, T., Liu, X., Zienkiewcz, O.C., 1998. Stabilized linear triangles for failure problems in undrained soils. In: Idelshon, S., Oñate, E., Dvorkin, E. (Eds.), Proceedings of IV World Congress on Computational Mechanics: Computational Mechanics: New Trends and Applications, CIMNE, Barcelona, Spain.
    • (1998) Proceedings of IV World Congress on Computational Mechanics
    • Pastor, M.1    Li, T.2    Liu, X.3    Zienkiewcz, O.C.4
  • 44
    • 0034297441 scopus 로고    scopus 로고
    • A fractional step algorithm allowing equal order interpolation for coupled analysis of saturated soil problems
    • Pastor M., Li T., Liu X., Zienkiewcz O.C., and Quecedo M. A fractional step algorithm allowing equal order interpolation for coupled analysis of saturated soil problems. Mechanics of Cohesive-Frictional Materials 5 (2000) 511-534
    • (2000) Mechanics of Cohesive-Frictional Materials , vol.5 , pp. 511-534
    • Pastor, M.1    Li, T.2    Liu, X.3    Zienkiewcz, O.C.4    Quecedo, M.5
  • 47
    • 0026224330 scopus 로고
    • Finite element analysis of bifurcation in nonlocal strain softening solids
    • Pijaudier-Cabot G., and Huerta A. Finite element analysis of bifurcation in nonlocal strain softening solids. Comp. Meth. in Applied Mech. and Engrg. 90 (1991) 905-919
    • (1991) Comp. Meth. in Applied Mech. and Engrg. , vol.90 , pp. 905-919
    • Pijaudier-Cabot, G.1    Huerta, A.2
  • 48
    • 0021786395 scopus 로고
    • Smeared crack approach and fracture localization in concrete
    • Rots J.G., Nauta P., Kusters G.M.A., and Blaauwendraad J. Smeared crack approach and fracture localization in concrete. Heron 30 1 (1985)
    • (1985) Heron , vol.30 , Issue.1
    • Rots, J.G.1    Nauta, P.2    Kusters, G.M.A.3    Blaauwendraad, J.4
  • 50
    • 34250076312 scopus 로고
    • An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids
    • Simo J.C., Oliver J., and Armero F. An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids. Computational Mechanics 12 (1993) 49-61
    • (1993) Computational Mechanics , vol.12 , pp. 49-61
    • Simo, J.C.1    Oliver, J.2    Armero, F.3
  • 51
    • 0038020698 scopus 로고
    • Localization within the framework of micropolar elastoplasticy
    • Mannl V., et al. (Ed), Springer Verlag, Berlin
    • Steinmann P., and Willam K. Localization within the framework of micropolar elastoplasticy. In: Mannl V., et al. (Ed). Advances in Continuum Mechanics (1992), Springer Verlag, Berlin 296-313
    • (1992) Advances in Continuum Mechanics , pp. 296-313
    • Steinmann, P.1    Willam, K.2
  • 53
    • 0242550416 scopus 로고    scopus 로고
    • A mixed formulation for triangular and tetrahedral elements
    • Abascal, R, Domínguez, J, Bugeda, G, Eds, Barcelona, Spain
    • Taylor, R.L., 1999. A mixed formulation for triangular and tetrahedral elements. In: Abascal, R., Domínguez, J., Bugeda, G. (Eds.), Conference Proceedings on Métodos Numéricos en Ingeniería, SEMNI, Barcelona, Spain.
    • (1999) Conference Proceedings on Métodos Numéricos en Ingeniería, SEMNI
    • Taylor, R.L.1
  • 54
    • 0041112122 scopus 로고    scopus 로고
    • A mixed-enhanced formulation for tetrahedral elements
    • Taylor R.L. A mixed-enhanced formulation for tetrahedral elements. Int. Jour. for Num. Meths. in Eng. 47 (2000) 205-227
    • (2000) Int. Jour. for Num. Meths. in Eng. , vol.47 , pp. 205-227
    • Taylor, R.L.1
  • 55
    • 0025839642 scopus 로고
    • A gradient flow theory of plasticity for granular materials
    • Vardoulakis I., and Aifantis E.C. A gradient flow theory of plasticity for granular materials. Acta Mechanica 87 (1991) 197-217
    • (1991) Acta Mechanica , vol.87 , pp. 197-217
    • Vardoulakis, I.1    Aifantis, E.C.2
  • 56
    • 0037053165 scopus 로고    scopus 로고
    • A p-adaptive scheme for overcoming volumetric locking during plastic flow
    • Wells G.N., Sluys L.J., and de Borst R. A p-adaptive scheme for overcoming volumetric locking during plastic flow. Comp. Meth. in Appl. Mech. and Eng. 191 (2002) 3153-3164
    • (2002) Comp. Meth. in Appl. Mech. and Eng. , vol.191 , pp. 3153-3164
    • Wells, G.N.1    Sluys, L.J.2    de Borst, R.3
  • 58
    • 0029539894 scopus 로고
    • Softening, localization and adaptive remeshing: capture of discontinuous solutions
    • Zienkiewicz O.C., Pastor M., and Huang M. Softening, localization and adaptive remeshing: capture of discontinuous solutions. Comp. Mech. 17 (1995) 98-106
    • (1995) Comp. Mech. , vol.17 , pp. 98-106
    • Zienkiewicz, O.C.1    Pastor, M.2    Huang, M.3
  • 59
    • 0028831685 scopus 로고
    • Localization problems in plasticity using finite elements with adaptive remeshing
    • Zienkiewicz O.C., Huang M., and Pastor M. Localization problems in plasticity using finite elements with adaptive remeshing. Int. J. Num. Methods in Geomechanics 19 (1995) 127-148
    • (1995) Int. J. Num. Methods in Geomechanics , vol.19 , pp. 127-148
    • Zienkiewicz, O.C.1    Huang, M.2    Pastor, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.