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Volumn 12, Issue 5, 2007, Pages 559-580

Erratum: On the material setting of gradient hyperelasticity (Mathematics and Mechanics of Solids (2006) 10.1177/1081286506067073);On the material setting of gradient hyperelasticity

Author keywords

Gradient theory; Hyperelasticity inverse kinematical framework; Material forces

Indexed keywords

COMPUTATIONAL MECHANICS; CONTINUUM MECHANICS; DEFORMATION; FRACTURE; GRADIENT METHODS; STRESSES;

EID: 34748897220     PISSN: 10812865     EISSN: 17413028     Source Type: Journal    
DOI: 10.1177/1081286508097852     Document Type: Erratum
Times cited : (20)

References (46)
  • 2
    • 0000095439 scopus 로고
    • Second gradient of strain and surface tension in linear elasticity
    • Mindlin, R.D. Second gradient of strain and surface tension in linear elasticity. International Journal of Solids and Structures, 1, 417-438 (1965).
    • (1965) International Journal of Solids and Structures , vol.1 , pp. 417-438
    • Mindlin, R.D.1
  • 3
    • 0004150758 scopus 로고
    • Springer Tracts in Natural Philosophy. Springer, Berlin
    • Capriz, G. Continua with Microstructure, Springer Tracts in Natural Philosophy. Springer, Berlin, 1989.
    • (1989) Continua With Microstructure
    • Capriz, G.1
  • 5
    • 34748858827 scopus 로고
    • Continuum theory of thermally induced phase transitions based on a order parameter
    • Fried, E. and Gurtin, M.E. Continuum theory of thermally induced phase transitions based on a order parameter. Physica D, 72, 278-308 (1993).
    • (1993) Physica D , vol.72 , pp. 278-308
    • Fried, E.1    Gurtin, M.E.2
  • 7
    • 10644249911 scopus 로고    scopus 로고
    • Modeling thin films applying an extended continuum theory based on a scalar-valued order parameter-Part I: Isothermal case
    • Steeb, H. and Diebels, S. Modeling thin films applying an extended continuum theory based on a scalar-valued order parameter-Part I: Isothermal case. International Journal of Solids and Structures, 41, (18-19): 5071-5085, 2004.
    • (2004) International Journal of Solids and Structures , vol.41 , Issue.18-19 , pp. 5071-5085
    • Steeb, H.1    Diebels, S.2
  • 8
    • 0033462989 scopus 로고    scopus 로고
    • On the thermodynamics of thermoelastic materials with additional scalar degrees of freedom
    • B. Svendsen. On the thermodynamics of thermoelastic materials with additional scalar degrees of freedom. Continuum Mechanics and Thermodynamics, 4, 247-262 (1999).
    • (1999) Continuum Mechanics and Thermodynamics , vol.4 , pp. 247-262
    • Svendsen, B.1
  • 9
    • 0026930049 scopus 로고
    • On the role of gradients in the localization of deformation and fracture
    • Aifantis, E.C. On the role of gradients in the localization of deformation and fracture. International Journal of Engineering Science, 30, 1279-1300 (1992).
    • (1992) International Journal of Engineering Science , vol.30 , pp. 1279-1300
    • Aifantis, E.C.1
  • 11
    • 0036555599 scopus 로고    scopus 로고
    • Nonlocal implicit gradient enhanced elasto-plasticity for the modeling of softening behavior
    • Engelen, R.A.B., Geers, M.G.D. and Baaijens, F.P.T. Nonlocal implicit gradient enhanced elasto-plasticity for the modeling of softening behavior. International Journal of Plasticity, 19, 403-433 (2002).
    • (2002) International Journal of Plasticity , vol.19 , pp. 403-433
    • Engelen, R.A.B.1    Geers, M.G.D.2    Baaijens, F.P.T.3
  • 13
    • 0035975245 scopus 로고    scopus 로고
    • Theory and numerics of a thermodynamically consistent framework for geometrically linear gradient plasticity
    • Liebe, T. and Steinmann, P. Theory and numerics of a thermodynamically consistent framework for geometrically linear gradient plasticity. International Journal of Numerical Methods in Engineering, 51, 1437-1468 (2001).
    • (2001) International Journal of Numerical Methods in Engineering , vol.51 , pp. 1437-1468
    • Liebe, T.1    Steinmann, P.2
  • 17
    • 0003532779 scopus 로고    scopus 로고
    • Springer, Berlin, based on the historic edition of the Encyclopedia of Physics Third edition
    • Truesdell, C. and Noll, W. The Non-linear Field Theories of Mechanics, Springer, Berlin, based on the historic edition of the Encyclopedia of Physics, Volume III/Third edition, 2003.
    • (2003) The Non-linear Field Theories of Mechanics , vol.3
    • Truesdell, C.1    Noll, W.2
  • 21
    • 0025559935 scopus 로고
    • The energy-momentum tensor and material uniformity in finite elasticity
    • Epstein, M. and Maugin, G.A. The energy-momentum tensor and material uniformity in finite elasticity. Acta Mechanica, 83, 127-133 (1990).
    • (1990) Acta Mechanica , vol.83 , pp. 127-133
    • Epstein, M.1    Maugin, G.A.2
  • 22
  • 25
    • 0029297165 scopus 로고
    • Material forces: Concepts and applications
    • Maugin, G.A. Material forces: Concepts and applications. Applied Mechanics Review, 48, 213-245 (1995).
    • (1995) Applied Mechanics Review , vol.48 , pp. 213-245
    • Maugin, G.A.1
  • 26
    • 0017731099 scopus 로고
    • Forces in material space
    • Rogula, D. Forces in material space. Archives of Mechanics, 29, 705-713 (1977).
    • (1977) Archives of Mechanics , vol.29 , pp. 705-713
    • Rogula, D.1
  • 27
    • 36149012981 scopus 로고
    • The forces excerted on dislocations and the stress field produced by them
    • Peach, M.O. and Koehler, J.S. The forces excerted on dislocations and the stress field produced by them. Physics Review, 80, 436-439 (1950).
    • (1950) Physics Review , vol.80 , pp. 436-439
    • Peach, M.O.1    Koehler, J.S.2
  • 28
    • 84980287971 scopus 로고
    • A path-independent integral and the approximate analysis of strain concentrations by notches and cracks
    • Rice, J. R. A path-independent integral and the approximate analysis of strain concentrations by notches and cracks. ASME Journal of Applied Mechanics, 35, 379-388 (1968).
    • (1968) ASME Journal of Applied Mechanics , vol.35 , pp. 379-388
    • Rice, J.R.1
  • 29
    • 20444470503 scopus 로고    scopus 로고
    • Material forces in the context of bio-tissue remodeling
    • In: P. Steinmann and G. A. Maugin (Eds.), Springer, Berlin
    • Garikipati, K., Narayanan, H., Arruda, E. M., Grosh, K. and Calve, S. Material forces in the context of bio-tissue remodeling. In: Mechanics of Material Forces, P. Steinmann and G. A. Maugin (Eds.), Springer, Berlin, 2005.
    • (2005) Mechanics of Material Forces
    • Garikipati, K.1    Narayanan, H.2    Arruda, E.M.3    Grosh, K.4    Calve, S.5
  • 32
    • 13944284152 scopus 로고    scopus 로고
    • Computational modeling of healing: An application of the material force method
    • Kuhl, E. and Steinmann, P. Computational modeling of healing: An application of the material force method. Bio-mechanics and Modeling in Mechanobiology, 2, 187-203 (2004).
    • (2004) Bio-mechanics and Modeling in Mechanobiology , vol.2 , pp. 187-203
    • Kuhl, E.1    Steinmann, P.2
  • 34
    • 0028064102 scopus 로고
    • Eshelby stress in elastoplasticity and ductile fracture
    • Maugin, G.A. Eshelby stress in elastoplasticity and ductile fracture. International Journal of Plasticity, 10, 393-408 (1994).
    • (1994) International Journal of Plasticity , vol.10 , pp. 393-408
    • Maugin, G.A.1
  • 35
    • 0026455428 scopus 로고
    • Pseudomomentum and material forces in nonlinear elasticity: Variational formulations and application to brittle fracture
    • Maugin, G.A. and Trimarco, C. Pseudomomentum and material forces in nonlinear elasticity: Variational formulations and application to brittle fracture. Acta Mechanica, 94, 1-28 (1992).
    • (1992) Acta Mechanica , vol.94 , pp. 1-28
    • Maugin, G.A.1    Trimarco, C.2
  • 36
    • 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. International Journal of Solids and Structures, 37, 7371-7391 (2000).
    • (2000) International Journal of Solids and Structures , vol.37 , pp. 7371-7391
    • Steinmann, P.1
  • 37
    • 0035859161 scopus 로고    scopus 로고
    • Application of material forces to hyperelastostatic fracture mechanics. II. Computational setting
    • Steinmann, P., Ackermann, D. and Barth, F.J. Application of material forces to hyperelastostatic fracture mechanics. II. Computational setting. International Journal of Solids and Structures, 38, 5509-5526 (2001).
    • (2001) International Journal of Solids and Structures , vol.38 , pp. 5509-5526
    • Steinmann, P.1    Ackermann, D.2    Barth, F.J.3
  • 38
    • 0002755673 scopus 로고    scopus 로고
    • Geometry of material space: Its consequences in modern computational means
    • Maugin, G.A. Geometry of material space: Its consequences in modern computational means. Technische Mechanik, 20, 95-104 (2000).
    • (2000) Technische Mechanik , vol.20 , pp. 95-104
    • Maugin, G.A.1
  • 39
    • 0042475165 scopus 로고    scopus 로고
    • On material equations in second gradient electroelasticity
    • Kalpakides, V.K. and Agiasofitou, E.K. On material equations in second gradient electroelasticity. Journal of Elasticity, 67, 205-227 (2002).
    • (2002) Journal of Elasticity , vol.67 , pp. 205-227
    • Kalpakides, V.K.1    Agiasofitou, E.K.2
  • 40
    • 0036344351 scopus 로고    scopus 로고
    • On spatial and material settings of hyperelastodynamics
    • Steinmann, P. On spatial and material settings of hyperelastodynamics. Acta Mechanica, 156, 193-218 (2002).
    • (2002) Acta Mechanica , vol.156 , pp. 193-218
    • Steinmann, P.1
  • 41
    • 34748921329 scopus 로고    scopus 로고
    • Theory and numerics of open system continuum thermodynamics
    • Habilitation thesis, UKL/LTM 04-02, Department of Applied Mechanics, University of Kaiserslautern
    • E. Kuhl. Theory and numerics of open system continuum thermodynamics. Habilitation thesis, UKL/LTM 04-02, Department of Applied Mechanics, University of Kaiserslautern, 2004.
    • (2004)
    • Kuhl, E.1
  • 42
    • 34250971713 scopus 로고
    • A mathematical theory of the mechanical behavior of continuous media
    • Noll, W. A mathematical theory of the mechanical behavior of continuous media. Archive for Rational Mechanics and Analysis, 2, 197-226 (1958).
    • (1958) Archive for Rational Mechanics and Analysis , vol.2 , pp. 197-226
    • Noll, W.1
  • 44
    • 31444449378 scopus 로고    scopus 로고
    • A unifying treatise on variational principles for gradient and micromorphic continua
    • Kirchner, N. and Steinmann, P. A unifying treatise on variational principles for gradient and micromorphic continua. Philosophical Magazine, 85, 3875-3895 (2005).
    • (2005) Philosophical Magazine , vol.85 , pp. 3875-3895
    • Kirchner, N.1    Steinmann, P.2


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