Definitions
Continuum damage mechanics
Introduction
Caused by fast technological developments, accurate modeling and numerical simulation of inelastic deformations as well as damage and failure of ductile materials and structures are essential in many engineering applications. For example, in many experiments with ductile metals, large and often localized deformations occurred during loading which have been accompanied by local damage and failure processes on the micro-level. These mechanisms lead to reduction in strength of ductile metals and may remarkably shorten the lifetime of engineering structures. Accumulation of these micro-defects during further loading can then lead to macro-cracks and to fracture of structural elements. Therefore, proper understanding of damage and failure processes on the micro- and macro-level and their interaction is important...
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References
Brocks W, Sun D, Hönig A (1995) Verification of the transferability of micromechanical parameters by cell model calculations with visco-plastic material. Int J Plast 11:971–989
Brünig M (2003) An anisotropic ductile damage model based on irreversible thermodynamics. Int J Plast 19:1679–1713
Brünig M, Chyra O, Albrecht D, Driemeier L, Alves M (2008) A ductile damage criterion at various stress triaxialities. Int J Plast 24:1731–1755
Brünig M, Gerke S, Hagenbrock V (2013) Micro-mechanical studies on the effect of the stress triaxiality and the Lode parameter on ductile damage. Int J Plast 50:49–65
Brünig M, Hagenbrock V, Gerke S (2018) Macroscopic damage laws based on analysis of microscopic unit cells. ZAMM J Appl Math Mech 98:181–194
Gerke S, Adulyasak P, Brünig M (2017) New biaxially loaded specimens for the analysis of damage and fracture in sheet metals. Int J Solids Struct 110–111:209–218
Gurson A (1977) Continuum theory of ductile rupture by void nucleation and growth: Part I: Yield criteria and flow rules for porous ductile media. J Eng Mater Technol 99:2–15
Kuna M, Sun D (1996) Three-dimensional cell model analyses of void growth in ductile materials. Int J Fract 81:235–258
Lemaitre J (1985) A continuous damage mechanics model for ductile fracture. J Eng Mater Technol 107:83–89
Lemaitre J (1996) A course on damage mechanics. Springer, Berlin/Heidelberg
Lu T, Chow C (1990) On constitutive equations of inelastic solids with anisotropic damage. Theor Appl Fract Mech 14:187–218
Mohr D, Henn S (2007) Calibration of stress-triaxiality dependent crack formation criteria: a new hybrid experimental-numerical model. Exp Mech 47:805–820
Murakami S (2012) Continuum damage mechanics. Springer, Dordrecht/Heidelberg/London/New York
Spitzig W, Sober R, Richmond O (1976) The effect of hydrostatic pressure on the deformation behaviour of maraging and HY-80 steels and its implications for plasticity theory. Metall Trans 7A:1703–1710
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Brünig, M. (2019). Continuum Damage Model for Ductile Materials Based on Stress-State-Dependent Damage Functions. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_253-1
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DOI: https://doi.org/10.1007/978-3-662-53605-6_253-1
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