Abstract
Using continuum damage theories the effects of discrete material defects are homogenized to the macro-level. This results in an easy way of incorporating damage into existing continuum models. Nevertheless it remains necessary to recognize that the validity range of continuum damage mechanics terminates, if neighbouring voids start to coalesce, forming the first macro-cracks. From thereon, fracture mechanic concepts should substitute the continuum damage model. The introduced concept of coupling micro-mechanic damage measures with macro-crack models will be significantly enhanced by corresponding adaptive simulation concepts, guaranteeing the quality of the calculated results.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Babuska, I., Rheinboldt, W.C. (1978) A Posteriiori Error Estimates for the Finite Element Method, Int. J. f. Num. Meth. i. Eng., Vol. 12, 1597–1615
Bruhns, O.T. (1987) Einige Bemerkungen zur Beschreibung inelastischer Prozesse im Bereich hoher Deformationsgeschwindigkeiten. Zeitschrift für angewandte Mathematik und Mechanik. Vol. 67: T181–T183
Cocks, A.C.F.; Ashby, M.F. (1980) Intergranular fracture during powerlaw creep under multiaxial stresses. Metal Science. August–September 1980: 395–402
Dawson, P.R.; Beaudin, A.J.; Mathur K.K. (1992) Simulating deformation-induced texture in metal forming. In Chenot, Wood & Zienkiewicz (eds), Numerical Methods in Industrial Forming Processes: 25–33. Rotterdam: Balkema
Eriksson, E., Estep, D., Hansbo, P., Johnson, C. (1996)Computational Differential Equations, Cambridge University Press
Feldmüller, A. (1991) Ein thermoplastisches Stoffgesetz isotrop geschädigter Kontinua, Mitteilungen aus dem Institut für Mechanik Nr. 75, Ruhr-Universität Bochum
Gurson, A. L. (1977) Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I-Yield Criteria and Flow Rules for Porous Ductile Media, Journal of Engineering Materials and Technology 99
Konke, C. (1994) Coupling of a micromechanically based void-growth model and a macro-crack model for the simulation of damage evolution inductile materials, IKIB Techn.-wiss. Mitt. Nr. 94-4, Ruhr-UniversitätBochum
Krajcinovic, D.; Sumarac, D. (1987) Micromechanics of the Damage Processes, Continuum Damage Mechanics, Theory and Applications, edited by D. Krajcinovic and J. Lemaitre, Springer Verlag
Malvern, L. E. (1969) Introduction to the Mechanics of a Continuous Medium, Prentice Hall, Engl. Cliffs N.J.
Martin, J. B. (1966) A Note on the Determination of an Upper Bound on Displacement Rates for Steady Creep Problems, Journal of Applied Mechanics, 33, 216–217
Mathur, K.K.; Dawson, PR. (1987a) Damage Evolution Modeling in Bulk Forming Processes, Computational Methods for Predicting Material Processing Defects, edited by M. Predeleanu, Elsevier, 251–262
Mathur, K.K.; Dawson, P.R. (1987b) On Modeling Damage Evolution During the Drawing of Metals, Mechanics of Materials,6, 179–186
McClintock, F.A. (1986) A Criterion for Ductile Fracture by the Growth of Holes, J. of Appl. Mech. 35,363–371
Tracey, D.M. (1977) Discussion of’ On the Use of Isoparametric Finite Elements In Linear Fracture Mechanics’ by R.S. Barsoum, Int. J. f. num. meth. in eng., Vol. 11, 401–402
Tvergaard, V; Needleman, A.; Lo, K.K. (1981) Flow Localization in the Plane Strain Tensile Test, Journal of the Mechanics and Physics of Solids, Vol 29, No. 2, 115–142
Tvergaard, V.; (1982) Influence of Void Nucleation on Ductile Shear Fracture at a free surface, Journal of the Mechanics and Physics of Solids, Vol. 30 No.6, 399–425
Wawrzynek, P.A.; Ingraffea, A. R. (1991) Discrete Modeling of Crack Propagation. Theoretical Aspects and Implementation Issues in Two and Three Dimensions, Department of Structural Engineering, Report Number 91-5, Cornell University, Ithaca, New York
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Kluwer Academic Publishers
About this paper
Cite this paper
Könke, C., Krätzig, W.B., Montag, U. (1999). Adaptive Simulation Concepts for the Transition from Micro-to Macro-damage in Elastoplasticity. In: Bruhns, O.T., Stein, E. (eds) IUTAM Symposium on Micro- and Macrostructural Aspects of Thermoplasticity. Solid Mechanics and its Applications, vol 62. Springer, Dordrecht. https://doi.org/10.1007/0-306-46936-7_14
Download citation
DOI: https://doi.org/10.1007/0-306-46936-7_14
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-5265-5
Online ISBN: 978-0-306-46936-7
eBook Packages: Springer Book Archive