메뉴 건너뛰기




Volumn 2006, Issue 28, 2006, Pages 491-529

Analytical and numerical methods for finite-strain elastoplasticity

Author keywords

Energetic formulation; Energy relaxation; Microstructure; Multiplicative plasticity; Time incremental minimization

Indexed keywords

CONTINUOUS TIME SYSTEMS; ELASTICITY; ELASTOPLASTICITY; NUMERICAL METHODS;

EID: 33751242482     PISSN: 16137736     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-34961-7_15     Document Type: Article
Times cited : (1)

References (77)
  • 2
    • 0038638202 scopus 로고    scopus 로고
    • A constrained sequential-lamination algorithm for the simulation of sub-grid microstructure in martensitic materials
    • S. Aubry, M. Fago, and M. Ortiz. A constrained sequential-lamination algorithm for the simulation of sub-grid microstructure in martensitic materials. Computer Methods in Applied Mechanics and Engineering, 192:2823-2843, 2003.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 2823-2843
    • Aubry, S.1    Fago, M.2    Ortiz, M.3
  • 3
    • 0017417265 scopus 로고
    • Convexity conditions and existence theorems in nonlinear elasticity
    • J. M. Ball. Convexity conditions and existence theorems in nonlinear elasticity. Archive of Rational Mechanics and Analysis, 63:337-403, 1977.
    • (1977) Archive of Rational Mechanics and Analysis , vol.63 , pp. 337-403
    • Ball, J.M.1
  • 4
    • 0012785350 scopus 로고    scopus 로고
    • Some open problems in elasticity
    • In P. Newton, P. Holmes, and A. Weinstein, editors, Springer, New York
    • J. M. Ball. Some open problems in elasticity. In P. Newton, P. Holmes, and A. Weinstein, editors, Geometry, Mechanics, and Dynamics, pages 3-59. Springer, New York, 2002.
    • (2002) Geometry, Mechanics, and Dynamics , pp. 3-59
    • Ball, J.M.1
  • 8
    • 67049125713 scopus 로고    scopus 로고
    • Non-convex potentials and microstructures in finite-strain plasticity
    • Series A
    • C. Carstensen, K. Hackl, and A. Mielke. Non-convex potentials and microstructures in finite-strain plasticity. Proceedings of the Royal Society London, Series A, 458:299-317, 2002.
    • (2002) Proceedings of the Royal Society London , vol.458 , pp. 299-317
    • Carstensen, C.1    Hackl, K.2    Mielke, A.3
  • 9
    • 0031533725 scopus 로고    scopus 로고
    • Numerical solution of the scalar double-well problem allowing microstructures
    • C. Carstensen and P. Plecháč. Numerical solution of the scalar double-well problem allowing microstructures. Mathematics of Computation, 66:997-1026, 1997.
    • (1997) Mathematics of Computation , vol.66 , pp. 997-1026
    • Carstensen, C.1    Plecháč, P.2
  • 10
    • 0003892830 scopus 로고
    • Elsevier Science Publishers B.V., Amsterdam
    • P. G. Ciarlet. Mathematical Elasticity. Elsevier Science Publishers B.V., Amsterdam, 1988.
    • (1988) Mathematical Elasticity
    • Ciarlet, P.G.1
  • 11
    • 17444429601 scopus 로고    scopus 로고
    • Dislocation microstructures and the effective behavior of single crystals
    • S. Conti and M. Ortiz. Dislocation microstructures and the effective behavior of single crystals. Archive of Rational Mechanics and Analysis, 176:103-147, 2005.
    • (2005) Archive of Rational Mechanics and Analysis , vol.176 , pp. 103-147
    • Conti, S.1    Ortiz, M.2
  • 14
    • 0347948926 scopus 로고    scopus 로고
    • Material instabilities in nematic elastomers
    • A. DeSimone and G. Dolzmann. Material instabilities in nematic elastomers. Physica D, 136:175-191, 2000.
    • (2000) Physica D , vol.136 , pp. 175-191
    • DeSimone, A.1    Dolzmann, G.2
  • 16
    • 33645145027 scopus 로고    scopus 로고
    • On the rate-independent limit of systems with dry friction and small viscosity
    • M. Efendiev and A. Mielke. On the rate-independent limit of systems with dry friction and small viscosity. Journal of Convex Analysis, 13(1):151-167, 2006.
    • (2006) Journal of Convex Analysis , vol.13 , Issue.1 , pp. 151-167
    • Efendiev, M.1    Mielke, A.2
  • 18
    • 33745513030 scopus 로고    scopus 로고
    • Existence results for a class of rate-independent material models with nonconvex elastic energies
    • In print
    • G. Francfort and A. Mielke. Existence results for a class of rate-independent material models with nonconvex elastic energies. J. Reine Angew. Math., 2006. In print.
    • (2006) J. Reine Angew. Math.
    • Francfort, G.1    Mielke, A.2
  • 20
    • 0036722045 scopus 로고    scopus 로고
    • The free-energy of mixing for n-variant martensitic phase transformations using quasi-convex analysis
    • S. Govindjee, A. Mielke, and G. J. Hall. The free-energy of mixing for n-variant martensitic phase transformations using quasi-convex analysis. Journal of the Mechanics and Physics of Solids, 50:1897-1922, 2002.
    • (2002) Journal of the Mechanics and Physics of Solids , vol.50 , pp. 1897-1922
    • Govindjee, S.1    Mielke, A.2    Hall, G.J.3
  • 21
    • 33751248617 scopus 로고    scopus 로고
    • Relaxation analysis of material instabilities in damage mechanics based on incremental convexification techniques
    • Submitted to
    • E. Gürses and C. Miehe. Relaxation analysis of material instabilities in damage mechanics based on incremental convexification techniques. Submitted to International Journal of Solids and Structures, 2006.
    • (2006) International Journal of Solids and Structures
    • Gürses, E.1    Miehe, C.2
  • 22
    • 0036131798 scopus 로고    scopus 로고
    • A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations
    • M. E. Gurtin. A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations. Journal of the Mechanics and Physics of Solids, 50:5-32, 2002.
    • (2002) Journal of the Mechanics and Physics of Solids , vol.50 , pp. 5-32
    • Gurtin, M.E.1
  • 23
    • 0031141134 scopus 로고    scopus 로고
    • Generalized standard media and variational principles in classical and finite strain elastoplasticity
    • K. Hackl. Generalized standard media and variational principles in classical and finite strain elastoplasticity. Journal of the Mechanics and Physics of Solids, 45(5):667-688, 1997.
    • (1997) Journal of the Mechanics and Physics of Solids , vol.45 , Issue.5 , pp. 667-688
    • Hackl, K.1
  • 24
    • 0042902179 scopus 로고    scopus 로고
    • On the calculation of microstructures for inelastic materials using relaxed energies
    • In C. Miehe, editor, Kluwer
    • K. Hackl and U. Hoppe. On the calculation of microstructures for inelastic materials using relaxed energies. In C. Miehe, editor, IUTAM Symposium on Computational Mechanics of Solids at Large Strains, pages 77-86. Kluwer, 2003.
    • (2003) IUTAM Symposium on Computational Mechanics of Solids at Large Strains , pp. 77-86
    • Hackl, K.1    Hoppe, U.2
  • 25
    • 60949090373 scopus 로고    scopus 로고
    • Dissipation distances in multiplicative elastoplasticity
    • In W. Wendland and M. Efendiev, editors, Springer-Verlag
    • K. Hackl, A. Mielke, and D. Mittenhuber. Dissipation distances in multiplicative elastoplasticity. In W. Wendland and M. Efendiev, editors, Analysis and Simulation of Multifield Problems, pages 87-100. Springer-Verlag, 2003.
    • (2003) Analysis and Simulation of Multifield Problems , pp. 87-100
    • Hackl, K.1    Mielke, A.2    Mittenhuber, D.3
  • 28
    • 33751251219 scopus 로고    scopus 로고
    • Energy release rate for cracks in finite-strain elasticity
    • Submitted (WIAS Preprint 1100)
    • D. Knees and A. Mielke. Energy release rate for cracks in finite-strain elasticity. Mathematical Methods in the Applied Sciences, 2006. Submitted (WIAS Preprint 1100).
    • (2006) Mathematical Methods in the Applied Sciences
    • Knees, D.1    Mielke, A.2
  • 30
    • 84990617033 scopus 로고
    • Optimal design and relaxation of variational problems i, ii, iii
    • 113-137, 139-182
    • R. V. Kohn and G. Strang. Optimal design and relaxation of variational problems i, ii, iii. Communications on Pure and Applied Mathematics, 39:113-137, 139-182, 353-377, 1986.
    • (1986) Communications on Pure and Applied Mathematics , vol.39 , pp. 353-377
    • Kohn, R.V.1    Strang, G.2
  • 32
    • 29144470595 scopus 로고    scopus 로고
    • Modelling of microstructure and its evolution in shape-memory-alloy single-crystals, in particular in CuAlNi
    • M. Kružík, A. Mielke, and T. Roubíček. Modelling of microstructure and its evolution in shape-memory-alloy single-crystals, in particular in CuAlNi. Meccanica, 40:389-418, 2005.
    • (2005) Meccanica , vol.40 , pp. 389-418
    • Kružík, M.1    Mielke, A.2    Roubíček, T.3
  • 33
    • 0037369305 scopus 로고    scopus 로고
    • Energy relaxation of non-convex incremental stress potentials in a strain-softening elastic-plastic bar
    • M. Lambrecht, C. Miehe, and J. Dettmar. Energy relaxation of non-convex incremental stress potentials in a strain-softening elastic-plastic bar. International Journal of Solids and Structures, 40:1369-1391, 2003.
    • (2003) International Journal of Solids and Structures , vol.40 , pp. 1369-1391
    • Lambrecht, M.1    Miehe, C.2    Dettmar, J.3
  • 34
    • 0347284844 scopus 로고    scopus 로고
    • On the computation of crystalline microstructure
    • M. Luskin. On the computation of crystalline microstructure. Acta Numerica, 36:191-257, 1996.
    • (1996) Acta Numerica , vol.36 , pp. 191-257
    • Luskin, M.1
  • 35
    • 12144274375 scopus 로고    scopus 로고
    • Existence results for energetic models for rate-independent systems
    • A. Mainik and A. Mielke. Existence results for energetic models for rate-independent systems. Cale. Var. PDEs, 22:73-99, 2005.
    • (2005) Cale. Var. PDEs , vol.22 , pp. 73-99
    • Mainik, A.1    Mielke, A.2
  • 36
    • 33751226150 scopus 로고    scopus 로고
    • An existence result for rate-independent strain-gradient plasticity at finite strains
    • In preparation
    • A. Mainik and A. Mielke. An existence result for rate-independent strain-gradient plasticity at finite strains. In preparation, 2006.
    • (2006)
    • Mainik, A.1    Mielke, A.2
  • 39
    • 0037146840 scopus 로고    scopus 로고
    • Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation
    • C. Miehe. Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation. International Journal for Numerical Methods in Engineering, 55:1285-1322, 2002.
    • (2002) International Journal for Numerical Methods in Engineering , vol.55 , pp. 1285-1322
    • Miehe, C.1
  • 40
    • 10244223977 scopus 로고    scopus 로고
    • Anisotropic elastic-plastic analysis of shells at large strains. A comparison of multiplicative and additive approaches to enhanced finite element design and constitutive modeling
    • C. Miehe and N. Apel. Anisotropic elastic-plastic analysis of shells at large strains. A comparison of multiplicative and additive approaches to enhanced finite element design and constitutive modeling. International Journal for Numerical Methods in Engineering, 61:2067-2113, 2004.
    • (2004) International Journal for Numerical Methods in Engineering , vol.61 , pp. 2067-2113
    • Miehe, C.1    Apel, N.2
  • 41
    • 0037159898 scopus 로고    scopus 로고
    • Anisotropic additive plasticity in the logarithmic strain space: Modular kinematic formulation and implementation based on incremental minimization principles for standard materials
    • C. Miehe, N. Apel, and M. Lambrecht. Anisotropic additive plasticity in the logarithmic strain space: Modular kinematic formulation and implementation based on incremental minimization principles for standard materials. Computer Methods in Applied Mechanics and Engineering, 191:5383-5425, 2002.
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 5383-5425
    • Miehe, C.1    Apel, N.2    Lambrecht, M.3
  • 43
    • 33751213746 scopus 로고    scopus 로고
    • A robust algorithm for configurational-force-driven brittle crack propagation with r-adaptive mesh alignment
    • Submitted to
    • C. Miehe and E. Gürses. A robust algorithm for configurational-force-driven brittle crack propagation with r-adaptive mesh alignment. Submitted to International Journal for Numerical Methods in Engineering, 2006.
    • (2006) International Journal for Numerical Methods in Engineering
    • Miehe, C.1    Gürses, E.2
  • 44
    • 0042902231 scopus 로고    scopus 로고
    • Analysis of microstructure development in shear-bands by energy relaxation of incremental stress potentials: Large-strain theory for standard dissipative solids
    • C. Miehe and M. Lambrecht. Analysis of microstructure development in shear-bands by energy relaxation of incremental stress potentials: Large-strain theory for standard dissipative solids. International Journal for Numerical Methods in Engineering, 58:1-41, 2003.
    • (2003) International Journal for Numerical Methods in Engineering , vol.58 , pp. 1-41
    • Miehe, C.1    Lambrecht, M.2
  • 45
    • 0037474407 scopus 로고    scopus 로고
    • A two-scale finite element relaxation analysis of shear bands in non-convex inelastic solids: Small-strain theory for standard dissipative materials
    • C. Miehe and M. Lambrecht. A two-scale finite element relaxation analysis of shear bands in non-convex inelastic solids: Small-strain theory for standard dissipative materials. Computer Methods in Applied Mechanics and Engineering, 192:473-508, 2003.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 473-508
    • Miehe, C.1    Lambrecht, M.2
  • 46
    • 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
    • C. Miehe, M. Lambrecht, and E. Gürses. Analysis of material instabilities in inelastic solids by incremental energy minimization and relaxation methods: Evolving deformation microstructures in finite plasticity. Journal of the Mechanics and Physics of Solids, 52:2725-2769, 2004.
    • (2004) Journal of the Mechanics and Physics of Solids , vol.52 , pp. 2725-2769
    • Miehe, C.1    Lambrecht, M.2    Gürses, E.3
  • 47
    • 0348146485 scopus 로고    scopus 로고
    • Anisotropic finite elastoplastic analysis of shells: Simulation of earing in deep-drawing of single- and polycrystalline sheets by taylor-type micro-to-macro transitions
    • C. Miehe and J. Schotte. Anisotropic finite elastoplastic analysis of shells: Simulation of earing in deep-drawing of single- and polycrystalline sheets by taylor-type micro-to-macro transitions. Computer Methods in Applied Mechanics and Engineering, 193:25-57, 2004.
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , pp. 25-57
    • Miehe, C.1    Schotte, J.2
  • 48
    • 33751232206 scopus 로고    scopus 로고
    • Crystal plasticity and evolution of polycrystalline microstructure
    • In E. Stein, R. de Borst, and J. R. Hughes, editors, chapter 8, John Wiley & Sons
    • C. Miehe and J. Schotte. Crystal plasticity and evolution of polycrystalline microstructure. In E. Stein, R. de Borst, and J. R. Hughes, editors, Encyclopedia of Computational Mechanics, chapter 8, pages 267-289. John Wiley & Sons, 2004.
    • (2004) Encyclopedia of Computational Mechanics , pp. 267-289
    • Miehe, C.1    Schotte, J.2
  • 49
    • 0036778671 scopus 로고    scopus 로고
    • Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals
    • C. Miehe, J. Schotte, and M. Lambrecht. Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. application to the texture analysis of polycrystals. Journal of the Mechanics and Physics of Solids, 50:2123-2167, 2002.
    • (2002) Journal of the Mechanics and Physics of Solids , vol.50 , pp. 2123-2167
    • Miehe, C.1    Schotte, J.2    Lambrecht, M.3
  • 50
    • 0003275672 scopus 로고    scopus 로고
    • Finite elastoplasticity, Lie groups and geodesics on SL(d)
    • In P. Newton, A. Weinstein, and P. J. Holmes, editors, Springer-Verlag
    • A. Mielke. Finite elastoplasticity, Lie groups and geodesics on SL(d). In P. Newton, A. Weinstein, and P. J. Holmes, editors, Geometry, Dynamics, and Mechanics, pages 61-90. Springer-Verlag, 2002.
    • (2002) Geometry, Dynamics, and Mechanics , pp. 61-90
    • Mielke, A.1
  • 51
    • 0042360574 scopus 로고    scopus 로고
    • Energetic formulation of multiplicative elasto-plasticity using dissipation distances
    • A. Mielke. Energetic formulation of multiplicative elasto-plasticity using dissipation distances. Continuum Mechanics and Thermodynamics, 15:351-382, 2003.
    • (2003) Continuum Mechanics and Thermodynamics , vol.15 , pp. 351-382
    • Mielke, A.1
  • 52
    • 29144462715 scopus 로고    scopus 로고
    • Evolution of rate-independent inelasticity with microstructure using relaxation and Young measures
    • In C. Miehe, editor, Kluwer (Stuttgart Aug. 2001)
    • A. Mielke. Evolution of rate-independent inelasticity with microstructure using relaxation and Young measures. In C. Miehe, editor, IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains (Stuttgart Aug. 2001), pages 33-44. Kluwer, 2003.
    • (2003) IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains , pp. 33-44
    • Mielke, A.1
  • 53
    • 8644238070 scopus 로고    scopus 로고
    • Deriving new evolution equations for microstructures via relaxation of variational incremental problems
    • A. Mielke. Deriving new evolution equations for microstructures via relaxation of variational incremental problems. Computer Methods in Applied Mechanics and Engineering, 193:5095-5127, 2004.
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , pp. 5095-5127
    • Mielke, A.1
  • 54
    • 14944350933 scopus 로고    scopus 로고
    • Existence of minimizers in incremental elasto-plasticity with finite strains
    • A. Mielke. Existence of minimizers in incremental elasto-plasticity with finite strains. SIAM Journal on Mathematical Analysis, 36:384-404, 2004.
    • (2004) SIAM Journal on Mathematical Analysis , vol.36 , pp. 384-404
    • Mielke, A.1
  • 55
    • 66049141597 scopus 로고    scopus 로고
    • Evolution in rate-independent systems (ch. 6)
    • In C. Dafermos and E. Feireisl, editors, Elsevier B.V
    • A. Mielke. Evolution in rate-independent systems (ch. 6). In C. Dafermos and E. Feireisl, editors, Handbook of Differential Equations, Evolutionary Equations, vol. 2, pages 461-559. Elsevier B.V., 2005.
    • (2005) Handbook of Differential Equations, Evolutionary Equations , vol.2 , pp. 461-559
    • Mielke, A.1
  • 56
    • 32044435607 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for polyconvexity of isotropic functions
    • A. Mielke. Necessary and sufficient conditions for polyconvexity of isotropic functions. Journal of Convex Analysis, 12:291-314, 2005.
    • (2005) Journal of Convex Analysis , vol.12 , pp. 291-314
    • Mielke, A.1
  • 57
    • 77954875912 scopus 로고    scopus 로고
    • A mathematical framework for generalized standard materials in the rate-independent case
    • In Springer-Verlag
    • A. Mielke. A mathematical framework for generalized standard materials in the rate-independent case. In SFB404-Abschlussband. Springer-Verlag, 2006.
    • (2006) SFB404-Abschlussband
    • Mielke, A.1
  • 58
    • 33751237530 scopus 로고    scopus 로고
    • Temperature-induced phase transformations in shape-memory alloys
    • In preparation
    • A. Mielke. Temperature-induced phase transformations in shape-memory alloys. In preparation, 2006.
    • (2006)
    • Mielke, A.1
  • 59
    • 33644893892 scopus 로고    scopus 로고
    • Lower semicontinuity and existence of minimizers for a functional in elastoplasticity
    • A. Mielke and S. Müller. Lower semicontinuity and existence of minimizers for a functional in elastoplasticity. ZAMM Zeitschrift für Angewandte Mathematik und Mechanik, 86:233-250, 2006.
    • (2006) ZAMM Zeitschrift Für Angewandte Mathematik Und Mechanik , vol.86 , pp. 233-250
    • Mielke, A.1    Müller, S.2
  • 60
    • 33751255557 scopus 로고    scopus 로고
    • A class of minimum principles for characterizing the trajectories of dissipative systems
    • In preparation
    • A. Mielke and M. Ortiz. A class of minimum principles for characterizing the trajectories of dissipative systems. In preparation, 2006.
    • (2006)
    • Mielke, A.1    Ortiz, M.2
  • 61
    • 33751224945 scopus 로고    scopus 로고
    • On a metric approach to a class of rate-independent problems
    • In preparation
    • A. Mielke, R. Rossi, and G. Savaré. On a metric approach to a class of rate-independent problems. In preparation, 2006.
    • (2006)
    • Mielke, A.1    Rossi, R.2    Savaré, G.3
  • 63
    • 0036012128 scopus 로고    scopus 로고
    • A variational formulation of rate-independent phase transformations using an extremum principle
    • A. Mielke, F. Theil, and V. I. Levitas. A variational formulation of rate-independent phase transformations using an extremum principle. Archive of Rational Mechanics and Analysis, 162:137-177, 2002.
    • (2002) Archive of Rational Mechanics and Analysis , vol.162 , pp. 137-177
    • Mielke, A.1    Theil, F.2    Levitas, V.I.3
  • 64
    • 84972497511 scopus 로고
    • Quasiconvexity and the semicontinuity of multiple integrands
    • C. B. Morrey. Quasiconvexity and the semicontinuity of multiple integrands. Pacific Journal of Mathematics, 2:25-53, 1952.
    • (1952) Pacific Journal of Mathematics , vol.2 , pp. 25-53
    • Morrey, C.B.1
  • 65
    • 0002142597 scopus 로고    scopus 로고
    • Variational models for microstructure and phase transisitions
    • In S. Hilderbrandt and M. Struwe, editors, Lecture Notes in Mathematics 1713, Springer Verlag, Berlin Heidelberg
    • S. Müller. Variational models for microstructure and phase transisitions. In S. Hilderbrandt and M. Struwe, editors, Calculus of Variation and Geometric Evolution Problems, Lecture Notes in Mathematics 1713, pages 85-210. Springer Verlag, Berlin Heidelberg, 1999.
    • (1999) Calculus of Variation and Geometric Evolution Problems , pp. 85-210
    • Müller, S.1
  • 66
    • 0033076749 scopus 로고    scopus 로고
    • Nonconvex energy minimization and dislocation structures in ductile single crystals
    • M. Ortiz and E. Repetto. Nonconvex energy minimization and dislocation structures in ductile single crystals. Journal of the Mechanics and Physics of Solids, 47(2):397-462, 1999.
    • (1999) Journal of the Mechanics and Physics of Solids , vol.47 , Issue.2 , pp. 397-462
    • Ortiz, M.1    Repetto, E.2
  • 69
    • 0001102937 scopus 로고
    • The localization of plastic deformation
    • In W. T. Koiter, editor, North-Holland, Amsterdam
    • J. R. Rice. The localization of plastic deformation. In W. T. Koiter, editor, Theoretical and Applied Mechanics, pages 207-220. North-Holland, Amsterdam, 1976.
    • (1976) Theoretical and Applied Mechanics , pp. 207-220
    • Rice, J.R.1
  • 71
    • 0000522553 scopus 로고    scopus 로고
    • Views on multiplicative elastoplasticity and the continuum theory of dislocations
    • P. Steinmann. Views on multiplicative elastoplasticity and the continuum theory of dislocations. International Journal of Engineering Science, 34:1717-1735, 1996.
    • (1996) International Journal of Engineering Science , vol.34 , pp. 1717-1735
    • Steinmann, P.1
  • 72
    • 0036604969 scopus 로고    scopus 로고
    • Continuum thermodynamic models for crystal plasticity including the effects of geometrically-necessary dislocations
    • B. Svendsen. Continuum thermodynamic models for crystal plasticity including the effects of geometrically-necessary dislocations. Journal of the Mechanics and Physics of Solids, 50:1297-1329, 2002.
    • (2002) Journal of the Mechanics and Physics of Solids , vol.50 , pp. 1297-1329
    • Svendsen, B.1
  • 74
    • 0002565890 scopus 로고
    • The nonlinear field theories of mechanics
    • In S. Flügge, editor, chapter Bd. III/3. Springer-Verlag, Berlin
    • C. Truesdell and W. Noll. The nonlinear field theories of mechanics. In S. Flügge, editor, Handbuch der Physik, chapter Bd. III/3. Springer-Verlag, Berlin, 1965.
    • (1965) Handbuch Der Physik
    • Truesdell, C.1    Noll, W.2
  • 76
    • 0002684256 scopus 로고
    • Some extremum principles in irreversible thermodynamics with application to continuum mechanics
    • In I. N. Sneddon and H. R., editors, Springer Verlag, Berlin Heidelberg
    • H. Ziegler. Some extremum principles in irreversible thermodynamics with application to continuum mechanics. In I. N. Sneddon and H. R., editors, Progress in Solid Mechanics, Vol. IV. Springer Verlag, Berlin Heidelberg, 1963.
    • (1963) Progress in Solid Mechanics , vol.4
    • Ziegler, H.1
  • 77
    • 0000967815 scopus 로고
    • The derivation of constitutive relations from the free energy and the dissipation function
    • In Academic Press, Orlando, FL
    • H. Ziegler and C. Wehrli. The derivation of constitutive relations from the free energy and the dissipation function. In Advances in applied mechanics, Vol. 25, pages 183-237. Academic Press, Orlando, FL, 1987.
    • (1987) Advances in Applied Mechanics , vol.25 , pp. 183-237
    • Ziegler, H.1    Wehrli, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.