메뉴 건너뛰기




Volumn 25, Issue 2, 2009, Pages 302-331

Novel variational formulations for nonlocal plasticity

Author keywords

Nonlocal plasticity; Structural models; Variational formulations

Indexed keywords

ABS RESINS; ELASTICITY; MODEL STRUCTURES; PLASTICITY; SPACECRAFT;

EID: 55549128952     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2008.02.002     Document Type: Article
Times cited : (32)

References (51)
  • 2
    • 0037410858 scopus 로고    scopus 로고
    • A variational procedure utilizing the assumption of maximum dissipation rate for gradient-dependent elastic-plastic materials
    • Baek S., and Srinivasa A.R. A variational procedure utilizing the assumption of maximum dissipation rate for gradient-dependent elastic-plastic materials. International Journal of Non-Linear Mechanics 38 (2003) 659-662
    • (2003) International Journal of Non-Linear Mechanics , vol.38 , pp. 659-662
    • Baek, S.1    Srinivasa, A.R.2
  • 6
    • 0033293546 scopus 로고    scopus 로고
    • A thermodynamic approach to nonlocal plasticity and related variational principles
    • Borino G., Fuschi P., and Polizzotto C. A thermodynamic approach to nonlocal plasticity and related variational principles. Journal of Applied Mechanics, ASME 66 (1999) 952-963
    • (1999) Journal of Applied Mechanics, ASME , vol.66 , pp. 952-963
    • Borino, G.1    Fuschi, P.2    Polizzotto, C.3
  • 7
    • 0038358882 scopus 로고    scopus 로고
    • Borino, G., Failla, B., 2000. Thermodynamic consistent plasticity models with local and nonlocal internal variables. In: CD-Rom Proceedings of European Congress an Computational Methods in Applied Sciences and Engineering, Barcelona, Spain, September 11-14, 2000.
    • Borino, G., Failla, B., 2000. Thermodynamic consistent plasticity models with local and nonlocal internal variables. In: CD-Rom Proceedings of European Congress an Computational Methods in Applied Sciences and Engineering, Barcelona, Spain, September 11-14, 2000.
  • 8
    • 0033411059 scopus 로고    scopus 로고
    • Variational formulation of softening phenomena in fracture mechanics: the one-dimensional case
    • Braides A., Dal Maso G., and Garroni A. Variational formulation of softening phenomena in fracture mechanics: the one-dimensional case. Archive for Rational Mechanics and Analysis 146 (1999) 23-58
    • (1999) Archive for Rational Mechanics and Analysis , vol.146 , pp. 23-58
    • Braides, A.1    Dal Maso, G.2    Garroni, A.3
  • 10
    • 23944466384 scopus 로고    scopus 로고
    • A posteriori dual-mixed adaptive finite element error control for Lamé and Stokes equations
    • Carstensen C., Causin P., and Sacco R. A posteriori dual-mixed adaptive finite element error control for Lamé and Stokes equations. Numerische Mathematik 101 (2005) 309-332
    • (2005) Numerische Mathematik , vol.101 , pp. 309-332
    • Carstensen, C.1    Causin, P.2    Sacco, R.3
  • 11
    • 55549125720 scopus 로고    scopus 로고
    • Convergence of an adaptive FEM for a class of degenerate convex minimization problems
    • Carstensen C. Convergence of an adaptive FEM for a class of degenerate convex minimization problems. IMA Journal of Numerical Analysis Advance (2007) 1-17
    • (2007) IMA Journal of Numerical Analysis Advance , pp. 1-17
    • Carstensen, C.1
  • 13
    • 0027573936 scopus 로고
    • Fundamental issues in finite element analysis of localization of deformation
    • de Borst R., Sluys L.J., Mühlhaus H.-B., and Pamin J. Fundamental issues in finite element analysis of localization of deformation. Engineering Computations 10 (1993) 99-121
    • (1993) Engineering Computations , vol.10 , pp. 99-121
    • de Borst, R.1    Sluys, L.J.2    Mühlhaus, H.-B.3    Pamin, J.4
  • 14
    • 0030195575 scopus 로고    scopus 로고
    • Some novel developments in finite element procedures for gradient-dependent plasticity
    • de Borst R., and Pamin J. Some novel developments in finite element procedures for gradient-dependent plasticity. International Journal for Numerical Methods in Engineering 39 (1996) 2477-2505
    • (1996) International Journal for Numerical Methods in Engineering , vol.39 , pp. 2477-2505
    • de Borst, R.1    Pamin, J.2
  • 22
    • 0034226528 scopus 로고    scopus 로고
    • A variational multiscale approach to strain localization-formulation for multidimensional problems
    • Garikipati K., and Hughes T.J.R. A variational multiscale approach to strain localization-formulation for multidimensional problems. Computer Methods in Applied Mechanics and Engineering 188 (2000) 39-60
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.188 , pp. 39-60
    • Garikipati, K.1    Hughes, T.J.R.2
  • 23
    • 0031141134 scopus 로고    scopus 로고
    • Generalized standard media and variational principles in classical and finite strain elastoplasticity
    • Hackl K. Generalized standard media and variational principles in classical and finite strain elastoplasticity. Journal of the Mechanics of Physics and Solids 45 (1997) 667-688
    • (1997) Journal of the Mechanics of Physics and Solids , vol.45 , pp. 667-688
    • Hackl, K.1
  • 24
    • 0016433301 scopus 로고
    • Sur les matériaux standards géné ralisés
    • Halphen B., and Nguyen Q.S. Sur les matériaux standards géné ralisés. Journal de Mécanique 14 (1975) 39-63
    • (1975) Journal de Mécanique , vol.14 , pp. 39-63
    • Halphen, B.1    Nguyen, Q.S.2
  • 25
    • 0038695064 scopus 로고    scopus 로고
    • Comparison of integral-type nonlocal plasticity models for strain-softening materials
    • Jirásek M., and Rolshoven S. Comparison of integral-type nonlocal plasticity models for strain-softening materials. International Journal of Engineering Science 41 (2003) 1553-1602
    • (2003) International Journal of Engineering Science , vol.41 , pp. 1553-1602
    • Jirásek, M.1    Rolshoven, S.2
  • 26
    • 49949143801 scopus 로고
    • Elasticity theory of materials with long range cohesive forces
    • Kroner E. Elasticity theory of materials with long range cohesive forces. International Journal of Solids and Structures 3 (1967) 731-742
    • (1967) International Journal of Solids and Structures , vol.3 , pp. 731-742
    • Kroner, E.1
  • 29
    • 43149095339 scopus 로고    scopus 로고
    • A general theory for nonlocal softening plasticity of integral-type
    • Marotti de Sciarra F. A general theory for nonlocal softening plasticity of integral-type. International Journal of Plasticity 24 (2008) 1411-1439
    • (2008) International Journal of Plasticity , vol.24 , pp. 1411-1439
    • Marotti de Sciarra, F.1
  • 30
    • 0028422754 scopus 로고
    • Post-critical discontinuous localization analysis of small-strain softening elastoplastic solids
    • Miehe C., and Schröder J. Post-critical discontinuous localization analysis of small-strain softening elastoplastic solids. Archive of Applied Mechanics 64 (1994) 267-285
    • (1994) Archive of Applied Mechanics , vol.64 , pp. 267-285
    • Miehe, C.1    Schröder, J.2
  • 31
    • 0042902231 scopus 로고    scopus 로고
    • Analysis of microstructure development in shearbands by energy relaxation of incremental stress potentials: large-strain theory for dissipative solids
    • Miehe C., and Lambrecht M. Analysis of microstructure development in shearbands by energy relaxation of incremental stress potentials: large-strain theory for dissipative solids. International Journal for Numerical Methods in Engineering 58 (2003) 1-41
    • (2003) International Journal for Numerical Methods in Engineering , vol.58 , pp. 1-41
    • Miehe, C.1    Lambrecht, M.2
  • 32
    • 8344253639 scopus 로고    scopus 로고
    • Analysis of material instabilities in inelastic solids by incremental energy minimization and relaxation methods: evolving deformation microstructures in finite plasticity
    • Miehe C., Lambrecht M., and Gürses E. Analysis of material instabilities in inelastic solids by incremental energy minimization and relaxation methods: evolving deformation microstructures in finite plasticity. Journal of the Mechanics of Physics and Solids 52 (2004) 2725-2769
    • (2004) Journal of the Mechanics of Physics and Solids , vol.52 , pp. 2725-2769
    • Miehe, C.1    Lambrecht, M.2    Gürses, E.3
  • 33
    • 8644238070 scopus 로고    scopus 로고
    • Deriving new evolution equations for microstructures via relaxation of variational incremental problems
    • Mielke A. Deriving new evolution equations for microstructures via relaxation of variational incremental problems. Computer Methods in Applied Mechanics and Engineering 193 (2004) 5095-5127
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , pp. 5095-5127
    • Mielke, A.1
  • 35
  • 36
    • 0017444613 scopus 로고
    • On elastic-plastic initial boundary value problem and its numerical integration
    • Nguyen Q.S. On elastic-plastic initial boundary value problem and its numerical integration. International Journal for Numerical Methods in Engineering 11 (1977) 817-832
    • (1977) International Journal for Numerical Methods in Engineering , vol.11 , pp. 817-832
    • Nguyen, Q.S.1
  • 43
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton
    • Rockafellar R.T. Convex Analysis (1970), Princeton University Press, Princeton
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 45
    • 0043157740 scopus 로고
    • New results in subdifferential calculus with applications to convex optimization
    • Romano G. New results in subdifferential calculus with applications to convex optimization. Applied Mathematics and Optimization 32 (1995) 213-234
    • (1995) Applied Mathematics and Optimization , vol.32 , pp. 213-234
    • Romano, G.1
  • 46
    • 0037400364 scopus 로고    scopus 로고
    • Rate theory of nonlocal gradient damage-gradient viscoinelasticity
    • Saczuk J., Hackl K., and Stumpf H. Rate theory of nonlocal gradient damage-gradient viscoinelasticity. International Journal of Plasticity 19 (2003) 675-706
    • (2003) International Journal of Plasticity , vol.19 , pp. 675-706
    • Saczuk, J.1    Hackl, K.2    Stumpf, H.3
  • 48
    • 0024103728 scopus 로고
    • Non-smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms
    • Simo J.C., Kennedy J., and Govindjee S. Non-smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms. International Journal for Numerical Methods in Engineering 26 (1988) 2161-2185
    • (1988) International Journal for Numerical Methods in Engineering , vol.26 , pp. 2161-2185
    • Simo, J.C.1    Kennedy, J.2    Govindjee, S.3
  • 50
    • 0011149443 scopus 로고    scopus 로고
    • Thermodynamically consistent nonlocal and gradient formulations of plasticity
    • Nonlocal aspects in solid mechanics. Brillard A., and Ganghoffer J.F. (Eds), Mulhouse, France
    • Svedberg T., and Runesson K. Thermodynamically consistent nonlocal and gradient formulations of plasticity. In: Brillard A., and Ganghoffer J.F. (Eds). Nonlocal aspects in solid mechanics. Proceedings of EUROMECH Colloquium, April 20-22, 1998 vol. 378 (1998), Mulhouse, France 32-37
    • (1998) Proceedings of EUROMECH Colloquium, April 20-22, 1998 , vol.378 , pp. 32-37
    • Svedberg, T.1    Runesson, K.2
  • 51
    • 0011149020 scopus 로고
    • A new effective non-local strain measure for softening plasticity
    • Chambon R., Desrues J., and Vardoulakis I. (Eds), A.A. Balkema, Rotterdam, Aussois, France
    • Vermeer P.A., and Brinkgreve R.B.J. A new effective non-local strain measure for softening plasticity. In: Chambon R., Desrues J., and Vardoulakis I. (Eds). Localization and Bifurcation Theory for Soils and Rocks, September 6-9, 1993 (1994), A.A. Balkema, Rotterdam, Aussois, France 89-100
    • (1994) Localization and Bifurcation Theory for Soils and Rocks, September 6-9, 1993 , pp. 89-100
    • Vermeer, P.A.1    Brinkgreve, R.B.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.