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2015 | OriginalPaper | Buchkapitel

44. Healing, Super Healing, and Other Issues in Continuum Damage Mechanics

verfasst von : George Z. Voyiadjis, Peter I. Kattan, Navid Mozaffari

Erschienen in: Handbook of Damage Mechanics

Verlag: Springer New York

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Abstract

In this chapter, after a quick introduction on the literature of healing and super healing concept, the damage/healing mechanics principles are investigated. The concept of super healing of materials is then introduced into the framework of continuum damage mechanics (CDM). Super-healed material can be seen as a strengthened material by further healing when the whole damage is recovered by healing of a damaged material. Therefore, in this chapter the process of healing beyond what is necessary for damage recovery is called super healing. Super material is the final objective of the super healing process when the material achieves more stiffness at the end of super healing process. Then, by introducing the anisotropic super healing concept, these concepts are generalized in tensorial form to be used in anisotropic damage and healing of materials. Consequently, three fundamental issues in CDM are discussed. Nature of the damage process is investigated by dissecting the expression of the effective stress into an infinite geometric series. Several stages of damage are introduced which are termed primary, secondary, tertiary, etc., using this expression. New definition of the damage variable is then introduced for small damage cases. The new concept of undamageable materials that maintain a zero value of the damage variable throughout the deformation process is introduced. Finally and in the last section of the chapter, the forming of a singularity which leads to initiation of the process of fracture is shown in a continuous region within the framework of CDM. The internal damage processes leading to a singularity are illustrated mathematically. This section potentially provides a crucial link between the damage and fracture mechanics.

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Literatur
Zurück zum Zitat J.A. Adam, A simplified model of wound healing (with particular reference to the critical size defect). Math. Comput. Model. 30, 23–32 (1999)MathSciNetCrossRef J.A. Adam, A simplified model of wound healing (with particular reference to the critical size defect). Math. Comput. Model. 30, 23–32 (1999)MathSciNetCrossRef
Zurück zum Zitat E.M. Arruda, M.C. Boyce, A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. J. Mech. Phys. Solids 41, 389–412 (1993)CrossRef E.M. Arruda, M.C. Boyce, A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. J. Mech. Phys. Solids 41, 389–412 (1993)CrossRef
Zurück zum Zitat E.J. Barbero, F. Greco, P. Lonetti, Continuum damage-healing mechanics with application to self-healing composites. Int. J. Damage Mech. 14, 51–81 (2005)CrossRef E.J. Barbero, F. Greco, P. Lonetti, Continuum damage-healing mechanics with application to self-healing composites. Int. J. Damage Mech. 14, 51–81 (2005)CrossRef
Zurück zum Zitat A.F. Bower, Applied Mechanics of Solids (CRC press, Boca Raton, 2011) A.F. Bower, Applied Mechanics of Solids (CRC press, Boca Raton, 2011)
Zurück zum Zitat J.L. Chaboche, On some modifications of kinematic hardening to improve the description of ratchetting effects. Int. J. Plast. 7, 661–678 (1991)CrossRef J.L. Chaboche, On some modifications of kinematic hardening to improve the description of ratchetting effects. Int. J. Plast. 7, 661–678 (1991)CrossRef
Zurück zum Zitat J.L. Chaboche, Thermodynamic formulation of constitutive equations and application to the viscoplasticity and viscoelasticity of metals and polymers. Int. J. Solids Struct. 34, 2239–2254 (1997)CrossRefMATH J.L. Chaboche, Thermodynamic formulation of constitutive equations and application to the viscoplasticity and viscoelasticity of metals and polymers. Int. J. Solids Struct. 34, 2239–2254 (1997)CrossRefMATH
Zurück zum Zitat C.L. Chow, M. Jie, Anisotropic damage-coupled sheet metal forming limit analysis. Int. J. Damage Mech. 18, 371–392 (2009)CrossRef C.L. Chow, M. Jie, Anisotropic damage-coupled sheet metal forming limit analysis. Int. J. Damage Mech. 18, 371–392 (2009)CrossRef
Zurück zum Zitat C. Chow, J. Wang, An anisotropic theory of elasticity for continuum damage mechanics. Int. J. Fract. 33, 3–16 (1987)CrossRef C. Chow, J. Wang, An anisotropic theory of elasticity for continuum damage mechanics. Int. J. Fract. 33, 3–16 (1987)CrossRef
Zurück zum Zitat W.L. George, J.A. Warren, A parallel 3D dendritic growth simulator using the phase-field method. J. Comput. Phys. 177, 264–283 (2002)CrossRefMATH W.L. George, J.A. Warren, A parallel 3D dendritic growth simulator using the phase-field method. J. Comput. Phys. 177, 264–283 (2002)CrossRefMATH
Zurück zum Zitat V. Ginzburg, On the theory of superconductivity. Il Nuovo Cimento (1955–1965) 2, 1234–1250 (1955)CrossRefMATH V. Ginzburg, On the theory of superconductivity. Il Nuovo Cimento (1955–1965) 2, 1234–1250 (1955)CrossRefMATH
Zurück zum Zitat V. Ginzburg, L.D. Landau, On the theory of superconductivity. Zh. Eksp. Teor. Fiz. 20(1950), 1064–1082 (1965). Translation in Collected papers of L.D.Landau. Pergamon, Oxford V. Ginzburg, L.D. Landau, On the theory of superconductivity. Zh. Eksp. Teor. Fiz. 20(1950), 1064–1082 (1965). Translation in Collected papers of L.D.Landau. Pergamon, Oxford
Zurück zum Zitat L. Gránásy, T. Börzsönyi, T. Pusztai, Nucleation and bulk crystallization in binary phase field theory. Phys. Rev. Lett. 88, 206105 (2002)CrossRef L. Gránásy, T. Börzsönyi, T. Pusztai, Nucleation and bulk crystallization in binary phase field theory. Phys. Rev. Lett. 88, 206105 (2002)CrossRef
Zurück zum Zitat N.R. Hansen, H.L. Schreyer, A thermodynamically consistent framework for theories of elastoplasticity coupled with damage. Int. J. Solids Struct. 31, 359–389 (1994)CrossRefMATH N.R. Hansen, H.L. Schreyer, A thermodynamically consistent framework for theories of elastoplasticity coupled with damage. Int. J. Solids Struct. 31, 359–389 (1994)CrossRefMATH
Zurück zum Zitat M. John, G. Li, Self-healing of sandwich structures with grid stiffened shape memory polymer syntactic foam core. Smart Mater. Struct. 19, 1–12 (2010) M. John, G. Li, Self-healing of sandwich structures with grid stiffened shape memory polymer syntactic foam core. Smart Mater. Struct. 19, 1–12 (2010)
Zurück zum Zitat L.M. Kachanov, On the creep fracture time. Izv Akad. Nauk USSR Otd. Tekh. 8, 26–31 (1958) L.M. Kachanov, On the creep fracture time. Izv Akad. Nauk USSR Otd. Tekh. 8, 26–31 (1958)
Zurück zum Zitat P.I. Kattan, G.Z. Voyiadjis, A plasticity-damage theory for large deformation of solids—II. Applications to finite simple shear. Int. J. Eng. Sci. 31, 183–199 (1993)CrossRefMATH P.I. Kattan, G.Z. Voyiadjis, A plasticity-damage theory for large deformation of solids—II. Applications to finite simple shear. Int. J. Eng. Sci. 31, 183–199 (1993)CrossRefMATH
Zurück zum Zitat P.I. Kattan, G.Z. Voyiadjis, Decomposition of damage tensor in continuum damage mechanics. J. Eng. Mech. 127, 940–944 (2001)CrossRef P.I. Kattan, G.Z. Voyiadjis, Decomposition of damage tensor in continuum damage mechanics. J. Eng. Mech. 127, 940–944 (2001)CrossRef
Zurück zum Zitat R. Kobayashi, Simulations of three dimensional dendrites, in Pattern Formation in Complex Dissipative Systems, ed. by S. Kai (World Scientific, Singapore, 1992), pp. 121–128 R. Kobayashi, Simulations of three dimensional dendrites, in Pattern Formation in Complex Dissipative Systems, ed. by S. Kai (World Scientific, Singapore, 1992), pp. 121–128
Zurück zum Zitat L.D. Landau, D. Ter Haar, Collected Papers of LD Landau (Pergamon Press, Oxford, 1965) L.D. Landau, D. Ter Haar, Collected Papers of LD Landau (Pergamon Press, Oxford, 1965)
Zurück zum Zitat H. Lee, K. Peng, J. Wang, An anisotropic damage criterion for deformation instability and its application to forming limit analysis of metal plates. Eng. Fract. Mech. 21, 1031–1054 (1985)CrossRef H. Lee, K. Peng, J. Wang, An anisotropic damage criterion for deformation instability and its application to forming limit analysis of metal plates. Eng. Fract. Mech. 21, 1031–1054 (1985)CrossRef
Zurück zum Zitat J. Lemaitre, How to use damage mechanics. Nucl. Eng. Des. 80, 233–245 (1984)CrossRef J. Lemaitre, How to use damage mechanics. Nucl. Eng. Des. 80, 233–245 (1984)CrossRef
Zurück zum Zitat J. Lemaitre, Coupled elasto-plasticity and damage constitutive equations. Comput. Methods Appl. Mech. Eng. 51, 31–49 (1985)CrossRefMATH J. Lemaitre, Coupled elasto-plasticity and damage constitutive equations. Comput. Methods Appl. Mech. Eng. 51, 31–49 (1985)CrossRefMATH
Zurück zum Zitat J. Lemaitre, J.L. Chaboche, Mechanics of Solid Materials (Cambridge University Press, Cambridge, 1990)CrossRefMATH J. Lemaitre, J.L. Chaboche, Mechanics of Solid Materials (Cambridge University Press, Cambridge, 1990)CrossRefMATH
Zurück zum Zitat G. Li, M. John, A self-healing smart syntactic foam under multiple impacts. Compos. Sci. Technol. 68, 3337–3343 (2008)CrossRef G. Li, M. John, A self-healing smart syntactic foam under multiple impacts. Compos. Sci. Technol. 68, 3337–3343 (2008)CrossRef
Zurück zum Zitat G. Li, V.D. Muthyala, Impact characterization of sandwich structures with an integrated orthogrid stiffened syntactic foam core. Compos. Sci. Technol. 68, 2078 (2008)CrossRef G. Li, V.D. Muthyala, Impact characterization of sandwich structures with an integrated orthogrid stiffened syntactic foam core. Compos. Sci. Technol. 68, 2078 (2008)CrossRef
Zurück zum Zitat G. Li, D. Nettles, Thermomechanical characterization of a shape memory polymer based self-repairing syntactic foam. Polymer 51, 755–762 (2010)CrossRef G. Li, D. Nettles, Thermomechanical characterization of a shape memory polymer based self-repairing syntactic foam. Polymer 51, 755–762 (2010)CrossRef
Zurück zum Zitat G. Li, N. Uppu, Shape memory polymer based self-healing syntactic foam: 3-D confined thermomechanical characterization. Compos. Sci. Technol. 70, 1419–1427 (2010)CrossRef G. Li, N. Uppu, Shape memory polymer based self-healing syntactic foam: 3-D confined thermomechanical characterization. Compos. Sci. Technol. 70, 1419–1427 (2010)CrossRef
Zurück zum Zitat Y.L. Liu, Y.W. Chen, Thermally reversible cross-linked polyamides with high toughness and self-repairing ability from maleimide- and furan-functionalized aromatic polyamides. Macromol. Chem. Phys. 208, 224–232 (2007)CrossRef Y.L. Liu, Y.W. Chen, Thermally reversible cross-linked polyamides with high toughness and self-repairing ability from maleimide- and furan-functionalized aromatic polyamides. Macromol. Chem. Phys. 208, 224–232 (2007)CrossRef
Zurück zum Zitat I. Loginova, G. Amberg, J. Ågren, Phase-field simulations of non-isothermal binary alloy solidification. Acta Mater. 49, 573–581 (2001)CrossRef I. Loginova, G. Amberg, J. Ågren, Phase-field simulations of non-isothermal binary alloy solidification. Acta Mater. 49, 573–581 (2001)CrossRef
Zurück zum Zitat V.A. Lubarda, D. Krajcinovic, Damage tensors and the crack density distribution. Int. J. Solids Struct. 30, 2859–2877 (1993)CrossRefMATH V.A. Lubarda, D. Krajcinovic, Damage tensors and the crack density distribution. Int. J. Solids Struct. 30, 2859–2877 (1993)CrossRefMATH
Zurück zum Zitat S. Miao, M.L. Wang, H.L. Schreyer, Constitutive models for healing of materials with application to compaction of crushed rock salt. J. Eng. Mech. 121, 1122–1129 (1995)CrossRef S. Miao, M.L. Wang, H.L. Schreyer, Constitutive models for healing of materials with application to compaction of crushed rock salt. J. Eng. Mech. 121, 1122–1129 (1995)CrossRef
Zurück zum Zitat S. Murakami, Notion of continuum damage mechanics and its application to anisotropic creep damage theory. ASME Trans. J. Eng. Mater. Technol. 105, 99–105 (1983)CrossRef S. Murakami, Notion of continuum damage mechanics and its application to anisotropic creep damage theory. ASME Trans. J. Eng. Mater. Technol. 105, 99–105 (1983)CrossRef
Zurück zum Zitat B. Murray, A. Wheeler, M. Glicksman, Simulations of experimentally observed dendritic growth behavior using a phase-field model. J. Cryst. Growth 154, 386–400 (1995)CrossRef B. Murray, A. Wheeler, M. Glicksman, Simulations of experimentally observed dendritic growth behavior using a phase-field model. J. Cryst. Growth 154, 386–400 (1995)CrossRef
Zurück zum Zitat M. Naderi, A. Kahirdeh, M. Khonsari, Dissipated thermal energy and damage evolution of Glass/Epoxy using infrared thermography and acoustic emission. Compos. Part B 43, 1613–1620 (2012)CrossRef M. Naderi, A. Kahirdeh, M. Khonsari, Dissipated thermal energy and damage evolution of Glass/Epoxy using infrared thermography and acoustic emission. Compos. Part B 43, 1613–1620 (2012)CrossRef
Zurück zum Zitat S. Nemat-Nasser, Decomposition of strain measures and their rates in finite deformation elastoplasticity. Int. J. Solids Struct. 15, 155–166 (1979)CrossRefMATH S. Nemat-Nasser, Decomposition of strain measures and their rates in finite deformation elastoplasticity. Int. J. Solids Struct. 15, 155–166 (1979)CrossRefMATH
Zurück zum Zitat S. Nemat-Nasser, On Finite Plastic Flow of Crystalline Solids and Geomaterials (DTIC Document, Fort Belvoir, 1983) S. Nemat-Nasser, On Finite Plastic Flow of Crystalline Solids and Geomaterials (DTIC Document, Fort Belvoir, 1983)
Zurück zum Zitat J. Nji, G. Li, A self-healing 3D woven fabric reinforced shape memory polymer composite for impact mitigation. Smart Mater. Struct. 19, 1–9 (2010a)CrossRef J. Nji, G. Li, A self-healing 3D woven fabric reinforced shape memory polymer composite for impact mitigation. Smart Mater. Struct. 19, 1–9 (2010a)CrossRef
Zurück zum Zitat J. Nji, G. Li, A biomimic shape memory polymer based self-healing particulate composite. Polymer 51, 6021–6029 (2010b)CrossRef J. Nji, G. Li, A biomimic shape memory polymer based self-healing particulate composite. Polymer 51, 6021–6029 (2010b)CrossRef
Zurück zum Zitat J.W.C. Pang, I.P. Bond, A hollow fibre reinforced polymer composite encompassing self-healing and enhanced damage visibility. Compos. Sci. Technol. 65, 1791–1799 (2005)CrossRef J.W.C. Pang, I.P. Bond, A hollow fibre reinforced polymer composite encompassing self-healing and enhanced damage visibility. Compos. Sci. Technol. 65, 1791–1799 (2005)CrossRef
Zurück zum Zitat T. Park, G. Voyiadjis, Kinematic description of damage. J. Appl. Mech. 65, 93–98 (1998)CrossRef T. Park, G. Voyiadjis, Kinematic description of damage. J. Appl. Mech. 65, 93–98 (1998)CrossRef
Zurück zum Zitat R. Pavan, B. Oliveira, S. Maghous, G. Creus, A model for anisotropic viscoelastic damage in composites. Compos. Struct. 92, 1223–1228 (2010)CrossRef R. Pavan, B. Oliveira, S. Maghous, G. Creus, A model for anisotropic viscoelastic damage in composites. Compos. Struct. 92, 1223–1228 (2010)CrossRef
Zurück zum Zitat Y.N. Rabotnov, Paper 68: on the equation of state of creep, in Proceedings of the Institution of Mechanical Engineers, Conference Proceedings, SAGE Publications, 1963, pp. 2–117, 112–122 Y.N. Rabotnov, Paper 68: on the equation of state of creep, in Proceedings of the Institution of Mechanical Engineers, Conference Proceedings, SAGE Publications, 1963, pp. 2–117, 112–122
Zurück zum Zitat Y.N. Rabotnov, Creep rupture, in Proceedings of the XII International Congress on Applied Mechanics, 1968, pp. 342–349 Y.N. Rabotnov, Creep rupture, in Proceedings of the XII International Congress on Applied Mechanics, 1968, pp. 342–349
Zurück zum Zitat F. Sidoroff, Description of anisotropic damage application to elasticity, in Proceedings of the IUTAM Colloquium on Physical Nonlinearities in Structural Analysis, Berlin, 1981, pp. 237–244 F. Sidoroff, Description of anisotropic damage application to elasticity, in Proceedings of the IUTAM Colloquium on Physical Nonlinearities in Structural Analysis, Berlin, 1981, pp. 237–244
Zurück zum Zitat A.H.R.W. Simpson, T.N. Gardner, M. Evans, J. Kenwright, Stiffness, strength and healing assessment in different bone fractures – a simple mathematical model. Injury 31, 777–781 (2000)CrossRef A.H.R.W. Simpson, T.N. Gardner, M. Evans, J. Kenwright, Stiffness, strength and healing assessment in different bone fractures – a simple mathematical model. Injury 31, 777–781 (2000)CrossRef
Zurück zum Zitat I. Singer-Loginova, H. Singer, The phase field technique for modeling multiphase materials. Rep. Prog. Phys. 71, 106501 (2008)CrossRef I. Singer-Loginova, H. Singer, The phase field technique for modeling multiphase materials. Rep. Prog. Phys. 71, 106501 (2008)CrossRef
Zurück zum Zitat K.S. Toohey, N.R. Sottos, J.A. Lewis, J.S. Moore, S.R. White, Self-healing materials with microvascular networks. Nat. Mater. 6, 581–585 (2007)CrossRef K.S. Toohey, N.R. Sottos, J.A. Lewis, J.S. Moore, S.R. White, Self-healing materials with microvascular networks. Nat. Mater. 6, 581–585 (2007)CrossRef
Zurück zum Zitat J.D. van der Waals, The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density. J. Stat. Phys. 20, 200–244 (1979)CrossRef J.D. van der Waals, The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density. J. Stat. Phys. 20, 200–244 (1979)CrossRef
Zurück zum Zitat R.J. Varley, S. van der Zwaag, Towards an understanding of thermally activated self-healing of an ionomer system during ballistic penetration. Acta Mater. 56, 5737–5750 (2008)CrossRef R.J. Varley, S. van der Zwaag, Towards an understanding of thermally activated self-healing of an ionomer system during ballistic penetration. Acta Mater. 56, 5737–5750 (2008)CrossRef
Zurück zum Zitat G.Z. Voyiadjis, Degradation of elastic modulus in elastoplastic coupling with finite strains. Int. J. Plast. 4, 335–353 (1988)CrossRef G.Z. Voyiadjis, Degradation of elastic modulus in elastoplastic coupling with finite strains. Int. J. Plast. 4, 335–353 (1988)CrossRef
Zurück zum Zitat G.Z. Voyiadjis, P.I. Kattan, A coupled theory of damage mechanics and finite strain elasto-plasticity—II. Damage and finite strain plasticity. Int. J. Eng. Sci. 28, 505–524 (1990)CrossRefMATH G.Z. Voyiadjis, P.I. Kattan, A coupled theory of damage mechanics and finite strain elasto-plasticity—II. Damage and finite strain plasticity. Int. J. Eng. Sci. 28, 505–524 (1990)CrossRefMATH
Zurück zum Zitat G.Z. Voyiadjis, P.I. Kattan, A plasticity-damage theory for large deformation of solids—I. Theoretical formulation. Int. J. Eng. Sci. 30, 1089–1108 (1992)CrossRefMATH G.Z. Voyiadjis, P.I. Kattan, A plasticity-damage theory for large deformation of solids—I. Theoretical formulation. Int. J. Eng. Sci. 30, 1089–1108 (1992)CrossRefMATH
Zurück zum Zitat G.Z. Voyiadjis, P.I. Kattan, Advances in Damage Mechanics: Metals and Metal Matrix Composites With an Introduction to Fabric Tensors (2nd edition), 742 p., (Elsevier, Oxford, ISBN: 0-08-044688-4, 2006) G.Z. Voyiadjis, P.I. Kattan, Advances in Damage Mechanics: Metals and Metal Matrix Composites With an Introduction to Fabric Tensors (2nd edition), 742 p., (Elsevier, Oxford, ISBN: 0-08-044688-4, 2006)
Zurück zum Zitat G.Z. Voyiadjis, P.I. Kattan, A comparative study of damage variables in continuum damage mechanics. Int. J. Damage Mech. 18, 315–340 (2009)CrossRef G.Z. Voyiadjis, P.I. Kattan, A comparative study of damage variables in continuum damage mechanics. Int. J. Damage Mech. 18, 315–340 (2009)CrossRef
Zurück zum Zitat G.Z. Voyiadjis, P.I. Kattan, Mechanics of damage processes in series and in parallel: a conceptual framework. Acta Mech. 223, 1863–1878 (2012a)CrossRefMATH G.Z. Voyiadjis, P.I. Kattan, Mechanics of damage processes in series and in parallel: a conceptual framework. Acta Mech. 223, 1863–1878 (2012a)CrossRefMATH
Zurück zum Zitat G.Z. Voyiadjis, P.I. Kattan, A new class of damage variables in continuum damage mechanics. J. Eng. Mater. Technol. 134, 021016 (2012b)CrossRef G.Z. Voyiadjis, P.I. Kattan, A new class of damage variables in continuum damage mechanics. J. Eng. Mater. Technol. 134, 021016 (2012b)CrossRef
Zurück zum Zitat G.Z. Voyiadjis, P.I. Kattan, Healing and Super Healing in Continuum Damage Mechanics. Int. J. Damage Mech. 23(2), 245–260 (2014) G.Z. Voyiadjis, P.I. Kattan, Healing and Super Healing in Continuum Damage Mechanics. Int. J. Damage Mech. 23(2), 245–260 (2014)
Zurück zum Zitat G.Z. Voyiadjis, P.I. Kattan, How a Singularity Forms in Continuum Damage Mechanics. Mech. Res. Commun. 55, 86-88 (2014) G.Z. Voyiadjis, P.I. Kattan, How a Singularity Forms in Continuum Damage Mechanics. Mech. Res. Commun. 55, 86-88 (2014)
Zurück zum Zitat G.Z. Voyiadjis, P.I. Kattan, Introduction to the mechanics and design of undamageable materials. Int. J. Damage Mech. 22, 323–335 (2013c) G.Z. Voyiadjis, P.I. Kattan, Introduction to the mechanics and design of undamageable materials. Int. J. Damage Mech. 22, 323–335 (2013c)
Zurück zum Zitat G.Z. Voyiadjis, P.I. Kattan, On the theory of elastic undamageable materials. J. Eng. Mater. Technol. 135, 021002 (2013d) G.Z. Voyiadjis, P.I. Kattan, On the theory of elastic undamageable materials. J. Eng. Mater. Technol. 135, 021002 (2013d)
Zurück zum Zitat G.Z. Voyiadjis, N. Mozaffari, Nonlocal damage model using the phase field method: theory and applications. Int. J. Solids Struct. 50, 3136–3151 (2013) G.Z. Voyiadjis, N. Mozaffari, Nonlocal damage model using the phase field method: theory and applications. Int. J. Solids Struct. 50, 3136–3151 (2013)
Zurück zum Zitat G.Z. Voyiadjis, T. Park, Local and interfacial damage analysis of metal matrix composites. Int. J. Eng. Sci. 33, 1595–1621 (1995)CrossRefMATH G.Z. Voyiadjis, T. Park, Local and interfacial damage analysis of metal matrix composites. Int. J. Eng. Sci. 33, 1595–1621 (1995)CrossRefMATH
Zurück zum Zitat G.Z. Voyiadjis, T. Park, Anisotropic damage for the characterization of the onset of macro-crack initiation in metals. Int. J. Damage Mech. 5, 68–92 (1996)CrossRef G.Z. Voyiadjis, T. Park, Anisotropic damage for the characterization of the onset of macro-crack initiation in metals. Int. J. Damage Mech. 5, 68–92 (1996)CrossRef
Zurück zum Zitat G. Voyiadjis, T. Park, Anisotropic damage effect tensors for the symmetrization of the effective stress tensor. J. Appl. Mech. 64, 106–110 (1997)CrossRefMATH G. Voyiadjis, T. Park, Anisotropic damage effect tensors for the symmetrization of the effective stress tensor. J. Appl. Mech. 64, 106–110 (1997)CrossRefMATH
Zurück zum Zitat G.Z. Voyiadjis, Z.N. Taqieddin, P.I. Kattan, Theoretical formulation of a coupled elastic—plastic anisotropic damage model for concrete using the strain energy equivalence concept. Int. J. Damage Mech. 18, 603–638 (2009)CrossRef G.Z. Voyiadjis, Z.N. Taqieddin, P.I. Kattan, Theoretical formulation of a coupled elastic—plastic anisotropic damage model for concrete using the strain energy equivalence concept. Int. J. Damage Mech. 18, 603–638 (2009)CrossRef
Zurück zum Zitat G.Z. Voyiadjis, A. Shojaei, G. Li, P. Kattan, Continuum damage-healing mechanics with introduction to new healing variables. Int. J. Damage Mech. 21(3), 391–414 (2012) G.Z. Voyiadjis, A. Shojaei, G. Li, P. Kattan, Continuum damage-healing mechanics with introduction to new healing variables. Int. J. Damage Mech. 21(3), 391–414 (2012)
Zurück zum Zitat G.Z. Voyiadjis, A. Shojaei, G. Li, A generalized coupled viscoplastic–viscodamage–viscohealing theory for glassy polymers. Int. J. Plast. 28, 21–45 (2012)CrossRef G.Z. Voyiadjis, A. Shojaei, G. Li, A generalized coupled viscoplastic–viscodamage–viscohealing theory for glassy polymers. Int. J. Plast. 28, 21–45 (2012)CrossRef
Zurück zum Zitat S.-L. Wang, R.F. Sekerka, Algorithms for phase field computation of the dendritic operating state at large supercoolings. J. Comput. Phys. 127, 110–117 (1996)CrossRefMATH S.-L. Wang, R.F. Sekerka, Algorithms for phase field computation of the dendritic operating state at large supercoolings. J. Comput. Phys. 127, 110–117 (1996)CrossRefMATH
Zurück zum Zitat J.A. Warren, W.J. Boettinger, Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method. Acta Metall. Mater. 43, 689–703 (1995)CrossRef J.A. Warren, W.J. Boettinger, Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method. Acta Metall. Mater. 43, 689–703 (1995)CrossRef
Zurück zum Zitat A. Wheeler, B. Murray, R. Schaefer, Computation of dendrites using a phase field model. Phys. D Nonlinear Phenom. 66, 243–262 (1993)CrossRefMATH A. Wheeler, B. Murray, R. Schaefer, Computation of dendrites using a phase field model. Phys. D Nonlinear Phenom. 66, 243–262 (1993)CrossRefMATH
Zurück zum Zitat S.R. White, N.R. Sottos, P.H. Geubelle, J.S. Moore, M.R. Kessler, S.R. Sriram, E.N. Brown, S. Viswanathan, Autonomic healing of polymer composites. Nature 409, 794–797 (2001)CrossRef S.R. White, N.R. Sottos, P.H. Geubelle, J.S. Moore, M.R. Kessler, S.R. Sriram, E.N. Brown, S. Viswanathan, Autonomic healing of polymer composites. Nature 409, 794–797 (2001)CrossRef
Zurück zum Zitat H.-L. Yu, C. Lu, K. Tieu, G.-Y. Deng, A numerical model for simulation of crack initiation around inclusion under tensile load. J. Comput. Theor. Nanosci. 9, 1745–1749 (2012)CrossRef H.-L. Yu, C. Lu, K. Tieu, G.-Y. Deng, A numerical model for simulation of crack initiation around inclusion under tensile load. J. Comput. Theor. Nanosci. 9, 1745–1749 (2012)CrossRef
Zurück zum Zitat K. Yuan, J. Ju, New strain energy–based coupled elastoplastic damage-healing formulations accounting for effect of matric suction during earth-moving processes. J. Eng. Mech. 139, 188–199 (2012)CrossRef K. Yuan, J. Ju, New strain energy–based coupled elastoplastic damage-healing formulations accounting for effect of matric suction during earth-moving processes. J. Eng. Mech. 139, 188–199 (2012)CrossRef
Zurück zum Zitat F. Zaïri, M. Naït-Abdelaziz, J.-M. Gloaguen, J.-M. Lefebvre, A physically-based constitutive model for anisotropic damage in rubber-toughened glassy polymers during finite deformation. Int. J. Plast. 27, 25–51 (2011)CrossRef F. Zaïri, M. Naït-Abdelaziz, J.-M. Gloaguen, J.-M. Lefebvre, A physically-based constitutive model for anisotropic damage in rubber-toughened glassy polymers during finite deformation. Int. J. Plast. 27, 25–51 (2011)CrossRef
Zurück zum Zitat M. Zako, N. Takano, Intelligent material systems using epoxy particles to repair microcracks and delamination damage in GFRP. J. Intell. Mater. Syst. Struct. 10, 836–841 (1999)CrossRef M. Zako, N. Takano, Intelligent material systems using epoxy particles to repair microcracks and delamination damage in GFRP. J. Intell. Mater. Syst. Struct. 10, 836–841 (1999)CrossRef
Metadaten
Titel
Healing Healing , Super Healing, and Other Issues in Continuum Damage Mechanics
verfasst von
George Z. Voyiadjis
Peter I. Kattan
Navid Mozaffari
Copyright-Jahr
2015
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4614-5589-9_45

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