Numerical aspects of non-local modeling of the damage evolution in elastic–plastic materials
The design of mechanical systems in modern industrial plants requires reliable and efficient methods to predict the behavior of structural materials. For complex loading conditions, the behavior of the structural materials is determined by damage evolution, strain rate and temperature. The subject o...
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| Vydáno v: | Computational materials science Ročník 19; číslo 1; s. 235 - 251 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier B.V
15.12.2000
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| ISSN: | 0927-0256, 1879-0801 |
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| Abstract | The design of mechanical systems in modern industrial plants requires reliable and efficient methods to predict the behavior of structural materials. For complex loading conditions, the behavior of the structural materials is determined by damage evolution, strain rate and temperature. The subject of the article is the modeling of the damage evolution in elastic–plastic materials of structural components, which are utilized at various temperatures. To achieve this goal, a hybrid model of steel cracking is applied. The hybrid model uses a finite element simulation combined with an experimental test realized in the macroscale. By using the hybrid model, the modeling of the damage evolution affords possibilities of determining macroscopic effects of the steel micro-defects. An essence of solving the predicting behavior of structural materials with micro-defects consists in time integration procedures for constitutive equations. In the article a semi-implicit time integration procedure is presented. The semi-implicit time integration procedure is suitable for the inelastic materials (compressible or incompressible) with the combined kinematic–isotropic hardening behavior. Its numerical solutions are stable, namely without the oscillatory behavior. By spatial averaging over a representative volume (RV), the homogenization technique (HT) is used for the defining of non-local variables in the constitutive equations. Evolutionary algorithms (EAs) based on local selections are applied to perform the homogenization technique. Within the framework of the large strain theory, the non-local continuum satisfies the objectivity requirements. Limitations on applicability of the
J
-integral approach to construct crack growth resistance curves are also presented. |
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| AbstractList | The design of mechanical systems in modern industrial plants requires reliable and efficient methods to predict the behavior of structural materials. For complex loading conditions, the behavior of the structural materials is determined by damage evolution, strain rate and temperature. The subject of the article is the modeling of the damage evolution in elastic--plastic materials of structural components, which are utilized at various temperatures. To achieve this goal, a hybrid model of steel cracking is applied. Copyright (c) 2000 Elsevier Science B.V. The design of mechanical systems in modern industrial plants requires reliable and efficient methods to predict the behavior of structural materials. For complex loading conditions, the behavior of the structural materials is determined by damage evolution, strain rate and temperature. The subject of the article is the modeling of the damage evolution in elastic–plastic materials of structural components, which are utilized at various temperatures. To achieve this goal, a hybrid model of steel cracking is applied. The hybrid model uses a finite element simulation combined with an experimental test realized in the macroscale. By using the hybrid model, the modeling of the damage evolution affords possibilities of determining macroscopic effects of the steel micro-defects. An essence of solving the predicting behavior of structural materials with micro-defects consists in time integration procedures for constitutive equations. In the article a semi-implicit time integration procedure is presented. The semi-implicit time integration procedure is suitable for the inelastic materials (compressible or incompressible) with the combined kinematic–isotropic hardening behavior. Its numerical solutions are stable, namely without the oscillatory behavior. By spatial averaging over a representative volume (RV), the homogenization technique (HT) is used for the defining of non-local variables in the constitutive equations. Evolutionary algorithms (EAs) based on local selections are applied to perform the homogenization technique. Within the framework of the large strain theory, the non-local continuum satisfies the objectivity requirements. Limitations on applicability of the J -integral approach to construct crack growth resistance curves are also presented. |
| Author | Jackiewicz, J. |
| Author_xml | – sequence: 1 givenname: J. surname: Jackiewicz fullname: Jackiewicz, J. email: jj-kms@mail.atr.bydgoszcz.pl organization: Faculty of Mechanical Engineering, Bydgoszcz University of Technology and Agriculture, ul. Kaliskiego 7, PL-85-791, Bydgoszcz, Poland |
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| Cites_doi | 10.1115/1.3167187 10.1016/0045-7825(79)90026-4 10.1002/nme.1620330107 10.1016/S0045-7949(97)89625-3 10.1115/1.2900987 10.1115/1.3443401 10.1115/1.2901435 |
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| Keywords | Representative volume Homogenization technique 2D elastic–plastic fracture mechanics (2D EPFM) Evolutionary algorithm Techniques for the updated Lagrangian description (ULD) |
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| References_xml | – volume: 50 start-page: 1042 year: 1983 end-page: 1051 ident: BIB7 article-title: Fundamentals of the phenomenological theory of non-linear fracture mechanics publication-title: ASME J. Appl. Mech. – reference: J. Jackiewicz, Modeling of fracture phenomena – both ductile tearing and cleavage, in: J.B. Obrębski (Ed.), Lightweight Structures in Civil Engineering, Warsaw, 1995, pp. 678–685 – year: 1989 ident: BIB19 publication-title: The Finite Element Method – reference: ESIS TC8 Meeting, University of Wales, Swansea, 15 April 1999 – reference: G. Bernauer, W. Brocks, Numerical round robin on micro-mechanical models, phase II: results of task A, GKSS Draft-Report, Geesthacht, August 1999 – year: 1983 ident: BIB13 publication-title: Engineering Fracture Mechanics, Numerical Methods and Applications – volume: 33 start-page: 101 year: 1992 end-page: 114 ident: BIB4 article-title: Limitations to the large strain theory publication-title: Int. J. Numer. Meth. Eng. – volume: 38 start-page: 531 year: 1995 end-page: 540 ident: BIB5 article-title: Effects of hypoelastic model and plastic hardening on numerical simulation publication-title: JSME Int. J. – reference: A. Sherry, Guidance on local approach methods, Appendix 17, R/H/R6 Report, AEA Technology, 1999 – volume: 17/18 start-page: 411 year: 1979 end-page: 442 ident: BIB15 article-title: Recent finite element studies in plasticity and fracture mechanics publication-title: Comput. Meth. Appl. Mech. Eng. – volume: 99 start-page: 2 year: 1977 end-page: 15 ident: BIB6 article-title: Continuum theory of ductile rupture by void nucleation and growth, part I, yield criteria and flow rules for porous ductile media publication-title: J. Eng. Mater. Technol. – year: 1982 ident: BIB18 publication-title: Variational Methods in Elasticity and Plasticity – reference: W. 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Obrębski (Ed.), Lightweight Structures in Civil Engineering, Warsaw, 1996, pp. 53–60 – year: 1986 ident: BIB1 publication-title: Computation Methods in the Mechanics of Fracture – reference: ESIS TC1 and TC8 Meeting, Statoil Research Center, Trondheim, 26 August 1999 – volume: 63 start-page: 579 year: 1997 end-page: 600 ident: BIB12 article-title: A semi-implicit integration scheme for rate-dependent and rate-independent plasticity publication-title: Comput. Struct. – volume: 61 start-page: 236 year: 1994 end-page: 242 ident: BIB10 article-title: Bifurcation effects in ductile metals with non-local damage publication-title: ASME J. Appl. Mech. – reference: H. 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Eng. doi: 10.1016/0045-7825(79)90026-4 – ident: 10.1016/S0927-0256(00)00160-9_BIB20 – ident: 10.1016/S0927-0256(00)00160-9_BIB8 – year: 1986 ident: 10.1016/S0927-0256(00)00160-9_BIB1 – ident: 10.1016/S0927-0256(00)00160-9_BIB11 – volume: 33 start-page: 101 year: 1992 ident: 10.1016/S0927-0256(00)00160-9_BIB4 article-title: Limitations to the large strain theory publication-title: Int. J. Numer. Meth. Eng. doi: 10.1002/nme.1620330107 – volume: 63 start-page: 579 year: 1997 ident: 10.1016/S0927-0256(00)00160-9_BIB12 article-title: A semi-implicit integration scheme for rate-dependent and rate-independent plasticity publication-title: Comput. 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Technol. doi: 10.1115/1.3443401 – ident: 10.1016/S0927-0256(00)00160-9_BIB3 – volume: 61 start-page: 236 year: 1994 ident: 10.1016/S0927-0256(00)00160-9_BIB10 article-title: Bifurcation effects in ductile metals with non-local damage publication-title: ASME J. Appl. Mech. doi: 10.1115/1.2901435 – ident: 10.1016/S0927-0256(00)00160-9_BIB21 |
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| Title | Numerical aspects of non-local modeling of the damage evolution in elastic–plastic materials |
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