메뉴 건너뛰기




Volumn 74, Issue 11-12, 2005, Pages 800-807

A note on material forces in finite inelasticity

Author keywords

Configurational mechanics; Crystal plasticity; Material forces; Multiplicative elasto plasticity; Peach Koehler force

Indexed keywords

DEFORMATION; ELASTICITY; ELASTOPLASTICITY; FORCE CONTROL; PLASTICITY; STRESS ANALYSIS; TENSORS;

EID: 28344433810     PISSN: 09391533     EISSN: 14320681     Source Type: Journal    
DOI: 10.1007/s00419-005-0396-3     Document Type: Conference Paper
Times cited : (12)

References (42)
  • 1
    • 0033737940 scopus 로고    scopus 로고
    • Lattice incompatibility and the gradient theory of crystal plasticity
    • Acharya, A., Bassani, J.L.: Lattice incompatibility and the gradient theory of crystal plasticity. J Mech Phys Solids 48(8), 1565-1595 (2000)
    • (2000) J Mech Phys Solids , vol.48 , Issue.8 , pp. 1565-1595
    • Acharya, A.1    Bassani, J.L.2
  • 2
    • 0001990858 scopus 로고    scopus 로고
    • Configurational forces induced by finite-element discretization
    • Braun, M.: Configurational forces induced by finite-element discretization. Proc Estonian Acad Sci Phys Math 46(1-2), 24-31 (1997)
    • (1997) Proc Estonian Acad Sci Phys Math , vol.46 , Issue.1-2 , pp. 24-31
    • Braun, M.1
  • 3
    • 0035400701 scopus 로고    scopus 로고
    • On the characterization of geometrically necessary dislocations in finite plasticity
    • Cermelli, P., Gurtin, M.E.: On the characterization of geometrically necessary dislocations in finite plasticity. J Mech Phys Solids 49(7): 1539-1568 (2001)
    • (2001) J Mech Phys Solids , vol.49 , Issue.7 , pp. 1539-1568
    • Cermelli, P.1    Gurtin, M.E.2
  • 4
    • 0036902956 scopus 로고    scopus 로고
    • Geometrically necessary dislocations in viscoplastic single crystals and bicrystals undergoing small deformations
    • Cermelli, P., Gurtin, M.E.: Geometrically necessary dislocations in viscoplastic single crystals and bicrystals undergoing small deformations. Int J Solids Struct 39(7), 6281-6309 (2002)
    • (2002) Int J Solids Struct , vol.39 , Issue.7 , pp. 6281-6309
    • Cermelli, P.1    Gurtin, M.E.2
  • 5
    • 0033882003 scopus 로고    scopus 로고
    • Eshelby's stress tensors in finite elastoplasticity
    • Cleja-Ţigoiu, S., Maugin, G.A.: Eshelby's stress tensors in finite elastoplasticity. Acta Mech 139, 231-249 (2000)
    • (2000) Acta Mech , vol.139 , pp. 231-249
    • Cleja-Ţigoiu, S.1    Maugin, G.A.2
  • 6
    • 0019709612 scopus 로고
    • A view of the relation between the continuum theory of lattice defects and non-Euclidian geometry in the linear approximation
    • de Wit, R.: A view of the relation between the continuum theory of lattice defects and non-Euclidian geometry in the linear approximation. Int J Engng Sci 19, 1475-1506 (1981)
    • (1981) Int J Engng Sci , vol.19 , pp. 1475-1506
    • De Wit, R.1
  • 7
    • 0036859135 scopus 로고    scopus 로고
    • The Eshelby tensor and the theory of continuous distributions of dislocations
    • Epstein, M.: The Eshelby tensor and the theory of continuous distributions of dislocations. Mech Res Comm 29, 501-506 (2002)
    • (2002) Mech Res Comm , vol.29 , pp. 501-506
    • Epstein, M.1
  • 8
    • 0025559935 scopus 로고
    • The energy-momentum tensor and material uniformity in finite elasticity
    • Epstein, M., Maugin, G.A.: The energy-momentum tensor and material uniformity in finite elasticity. Acta Mech 83, 127-133 (1990)
    • (1990) Acta Mech , vol.83 , pp. 127-133
    • Epstein, M.1    Maugin, G.A.2
  • 9
    • 0029731986 scopus 로고    scopus 로고
    • On the geometrical material structure of anelasticity
    • Epstein, M., Maugin, G.A.: On the geometrical material structure of anelasticity. Acta Mech 115, 119-131 (1996)
    • (1996) Acta Mech , vol.115 , pp. 119-131
    • Epstein, M.1    Maugin, G.A.2
  • 10
    • 0000074668 scopus 로고
    • Remarks concerning forces on line defects
    • Ericksen, J.L.: Remarks concerning forces on line defects. Z Angew Math Phys 46, 247-271 (1995)
    • (1995) Z Angew Math Phys , vol.46 , pp. 247-271
    • Ericksen, J.L.1
  • 11
    • 0032319871 scopus 로고    scopus 로고
    • On nonlinear elasticity theory for crystal defects
    • Ericksen, J.L.: On nonlinear elasticity theory for crystal defects. Int J Plast 14, 9-24 (1998)
    • (1998) Int J Plast , vol.14 , pp. 9-24
    • Ericksen, J.L.1
  • 13
    • 2942516735 scopus 로고    scopus 로고
    • Configurational forces and their application in solid mechanics
    • Gross, D., Kolling, S., Müller, R., Schmidt, I.: Configurational forces and their application in solid mechanics. Euro J Mech A/Solids 22, 669-692 (2003)
    • (2003) Euro J Mech A/Solids , vol.22 , pp. 669-692
    • Gross, D.1    Kolling, S.2    Müller, R.3    Schmidt, I.4
  • 14
    • 0003784069 scopus 로고    scopus 로고
    • Configurational forces as basic concept in continuum physics
    • Springer, Berlin Heidelberg New York
    • Gurtin, M.E.: Configurational Forces as Basic Concept in Continuum Physics, vol. 137 of Applied Mathematical Sciences. Springer, Berlin Heidelberg New York (2000)
    • (2000) Applied Mathematical Sciences , vol.137
    • Gurtin, M.E.1
  • 15
    • 0036131798 scopus 로고    scopus 로고
    • A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations
    • Gurtin, M.E.: A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations. J Mech Phys Solids 50(1), 5-32 (2002)
    • (2002) J Mech Phys Solids , vol.50 , Issue.1 , pp. 5-32
    • Gurtin, M.E.1
  • 16
    • 14544293466 scopus 로고    scopus 로고
    • Mechanism-based starin gradient crystal plasticity - I. Theory
    • Han, C.-S., Gao, H., Huang, Y., Nix, W.D.: Mechanism-based starin gradient crystal plasticity - I. Theory. J Mech Phys Solids 53, 1188-1203 (2005)
    • (2005) J Mech Phys Solids , vol.53 , pp. 1188-1203
    • Han, C.-S.1    Gao, H.2    Huang, Y.3    Nix, W.D.4
  • 17
    • 28344447313 scopus 로고
    • Physical foundations of dislocation theory
    • Kröner, E. (ed.) IUTAM, Springer, Berlin Heidelberg New York
    • Indenbom, V.L., Orlov, A.N.: Physical foundations of dislocation theory. In: Kröner, E. (ed.) Mechanics of Generalized Continua, pp. 166-179 IUTAM, Springer, Berlin Heidelberg New York (1968)
    • (1968) Mechanics of Generalized Continua , pp. 166-179
    • Indenbom, V.L.1    Orlov, A.N.2
  • 19
    • 0002346072 scopus 로고
    • Crystal dislocations and the theory of elasticity
    • Nabarro, F.R.N. (ed.). North-Holland
    • Kosevich, A.M.: Crystal dislocations and the theory of elasticity. In: Nabarro, F.R.N. (ed.) Dislocations in Solids (The Elastic Theory), vol. 1, pp. 33-141. North-Holland (1979)
    • (1979) Dislocations in Solids (The Elastic Theory) , vol.1 , pp. 33-141
    • Kosevich, A.M.1
  • 20
    • 0000880769 scopus 로고
    • Kontinuumstheorie der Versetzungen und Eigenspannungen
    • Springer, Berlin Heidelberg New York
    • Kröner, E.: Kontinuumstheorie der Versetzungen und Eigenspannungen, vol. 5 of Erg Angew Math. Springer, Berlin Heidelberg New York (1958)
    • (1958) Erg Angew Math. , vol.5
    • Kröner, E.1
  • 21
    • 0032017681 scopus 로고    scopus 로고
    • Strain measures, integrability condition and frame indifference in the theory of oriented media
    • Le, K.C., Stumpf, H.: Strain measures, integrability condition and frame indifference in the theory of oriented media. Int J Solids Struct 35(9), 783-798 (1998)
    • (1998) Int J Solids Struct , vol.35 , Issue.9 , pp. 783-798
    • Le, K.C.1    Stumpf, H.2
  • 22
    • 0002326326 scopus 로고
    • Thermodynamics and plasticity
    • Delgado Domingos, J.J., Nina, M.N.R., Whitelaw, J.H. (eds.) MacMillan
    • Mandel, J.: Thermodynamics and plasticity. In: Delgado Domingos, J.J., Nina, M.N.R., Whitelaw, J.H. (eds.) Foundations of Continuum Thermodynamics, pp. 283-304 MacMillan (1974)
    • (1974) Foundations of Continuum Thermodynamics , pp. 283-304
    • Mandel, J.1
  • 24
    • 0346392791 scopus 로고    scopus 로고
    • Pseudo-plasticity and pseudo-inhomogeneity effects in materials mechanics
    • Maugin, G.A.: Pseudo-plasticity and pseudo-inhomogeneity effects in materials mechanics. J Elast 71, 81-103 (2003)
    • (2003) J Elast , vol.71 , pp. 81-103
    • Maugin, G.A.1
  • 25
    • 0032316853 scopus 로고    scopus 로고
    • Geometrical material structure of elastoplasticity
    • Maugin, G.A., Epstein, M.: Geometrical material structure of elastoplasticity. Int J Plast 14(1-3), 109-115 (1998)
    • (1998) Int J Plast , vol.14 , Issue.1-3 , pp. 109-115
    • Maugin, G.A.1    Epstein, M.2
  • 27
    • 8644238062 scopus 로고    scopus 로고
    • On the comparison of two approaches to compute material forces for inelastic materials. Application to single-slip crystal-plasticity
    • Menzel, A., Denzer, R., Steinmann, P.: On the comparison of two approaches to compute material forces for inelastic materials. Application to single-slip crystal-plasticity. Comput Methods Appl Mech Eng 193(48-51), 5411-5428 (2004)
    • (2004) Comput Methods Appl Mech Eng , vol.193 , Issue.48-51 , pp. 5411-5428
    • Menzel, A.1    Denzer, R.2    Steinmann, P.3
  • 28
    • 12444315097 scopus 로고    scopus 로고
    • Material forces in computational single-slip crystal-plasticity
    • Menzel, A., Denzer, R., Steinmann, P.: Material forces in computational single-slip crystal-plasticity. Comput Mater Sci 32, 446-454 (2005)
    • (2005) Comput Mater Sci , vol.32 , pp. 446-454
    • Menzel, A.1    Denzer, R.2    Steinmann, P.3
  • 29
    • 0033728964 scopus 로고    scopus 로고
    • On the continuum formulation of higher gradient plasticity for single and polycrystals
    • Erratum 49(5), 1179-1180 (2001)
    • Menzel, A., Steinmann, P.: On the continuum formulation of higher gradient plasticity for single and polycrystals. J Mech Phys Solids 48(8): 1777-1796 (2000) Erratum 49(5), 1179-1180 (2001)
    • (2000) J Mech Phys Solids , vol.48 , Issue.8 , pp. 1777-1796
    • Menzel, A.1    Steinmann, P.2
  • 31
    • 36149012981 scopus 로고
    • The forces exerted on dislocations and the stress field produced by them
    • Peach, M.O., Koehler, J.S.: The forces exerted on dislocations and the stress field produced by them. Phys Rev 80, 436-439 (1950)
    • (1950) Phys Rev , vol.80 , pp. 436-439
    • Peach, M.O.1    Koehler, J.S.2
  • 33
    • 0041450532 scopus 로고    scopus 로고
    • Configurational balances via variational arguments
    • Podio-Guidugli, P.: Configurational balances via variational arguments. Interfaces Free Boundaries 3, 223-232 (2001)
    • (2001) Interfaces Free Boundaries , vol.3 , pp. 223-232
    • Podio-Guidugli, P.1
  • 34
    • 0036857014 scopus 로고    scopus 로고
    • Configurational forces: Are they needed?
    • Podio-Guidugli, P.: Configurational forces: are they needed? Mech Res Comm 29, 513-519 (2002)
    • (2002) Mech Res Comm , vol.29 , pp. 513-519
    • Podio-Guidugli, P.1
  • 35
    • 0004860917 scopus 로고
    • Theorie der Gitterfehlstellen
    • Flügge, S. (ed.) Springer, Berlin Heidelberg New York
    • Seeger, A.: Theorie der Gitterfehlstellen. In: Flügge, S. (ed.) Encyclopedia of Physics, vol. VII/1, pp. 383-665 Springer, Berlin Heidelberg New York (1955)
    • (1955) Encyclopedia of Physics , vol.7 , Issue.1 , pp. 383-665
    • Seeger, A.1
  • 37
    • 0000522553 scopus 로고    scopus 로고
    • Views on multiplicative elastoplasticity and the continuum theory of dislocations
    • Steinmann, P.: Views on multiplicative elastoplasticity and the continuum theory of dislocations. Int J Eng Sci 34(15), 1717-1735 (1996)
    • (1996) Int J Eng Sci , vol.34 , Issue.15 , pp. 1717-1735
    • Steinmann, P.1
  • 38
    • 0034325546 scopus 로고    scopus 로고
    • Application of material forces to hyperelastostatic fracture mechanics. I. Continuum mechanical setting
    • Steinmann, P.: Application of material forces to hyperelastostatic fracture mechanics. I. Continuum mechanical setting. Int J Solids Struct 37, 7371-7391 (2000)
    • (2000) Int J Solids Struct , vol.37 , pp. 7371-7391
    • Steinmann, P.1
  • 39
    • 0036681238 scopus 로고    scopus 로고
    • On spatial and material settings of hyperelastostatic crystal defects
    • Steinmann, P.: On spatial and material settings of hyperelastostatic crystal defects. J Mech Phys Solids 50(8), 1743-1766 (2002)
    • (2002) J Mech Phys Solids , vol.50 , Issue.8 , pp. 1743-1766
    • Steinmann, P.1
  • 40
    • 0036916829 scopus 로고    scopus 로고
    • On spatial and material settings of thermo-hyperelastodynamics
    • Steinmann, P.: On spatial and material settings of thermo- hyperelastodynamics. J Elast 66, 109-157 (2002)
    • (2002) J Elast , vol.66 , pp. 109-157
    • Steinmann, P.1
  • 41
    • 0035824778 scopus 로고    scopus 로고
    • On the modeling of anisotropic elastic and inelastic material behaviour at large deformation
    • Svendsen, B.: On the modeling of anisotropic elastic and inelastic material behaviour at large deformation. Int J Solids Struct 38(52), 9579-9599 (2001)
    • (2001) Int J Solids Struct , vol.38 , Issue.52 , pp. 9579-9599
    • Svendsen, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.