Abstract
In this paper, simulations with a phenomenological model to describe the ductile-to-brittle transition of rate-dependent solids are presented. The model is based on consistent thermodynamic formulation using proper expressions for the Helmholtz free energy and the dissipation potential. In the model, the dissipation potential is additively split into damage and visco-plastic parts and the transition behaviour is obtained using a stress dependent damage potential. The damage is described by using a vectorial variable.
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Askes H, Hartikainen J, Kolari K, Kouhia R (2009) Dispersion analysis of a strain-rate dependent ductile-to-brittle transition model. In: Mäkinen R, Neittaanmäki P, Tuovinen T, Valpe K (eds) Proceedings of the 10th finnish mechanics days, University of Jyväskylä, Jyväskylä, pp 478–489
Duvault G, Lions L (1972) Inequalities in mechanics and physics. Springer, Berlin
Eirola T, Hartikainen J, Kouhia R, Manninen T (2006) Some observations on the integration of inelastic constitutive models with damage. In: Dahlblom O, Fuchs L, Persson K, Ristinmaa M, Sandberg G, Svensson I (eds) Proceedings of the 19th nordic seminar on computational mechanics, Division of Structural Mechanics, LTH, Lund University, pp 23–32
Eriksson K, Estep PHD, Johnsson C (1996) Computational differential equations. Studentlitteratur
Fortino S, Hartikainen J, Kolari K, Kouhia R, Manninen T (2006) A constitutive model for strain-rate dependent ductile-to brittle-transition. In: von Hertzen R, Halme T (eds) The IX finnish mechanics days, Lappeenranta University of Technology, Lappeenranta, pp 652–662
Frémond M (2002) Non-smooth thermomechanics. Springer, Berlin
Hughes T (1987) The finite element method. Linear static and dynamic finite element analysis. Prentice-Hall, Englewood Cliffs
Kolari K (2007) Damage mechanics model for brittle failure of transversely isotropic solids—finite element implementation. Tech rep 628, VTT Publications, Espoo
Kouhia R (2004) A time discontinuous Petrov-Galerkin method for the integration of inelastic constitutive equations. In: Neittaanmäki P, Rossi T, Majava K, Pironneau O (eds) ECCOMAS 2004 CD-ROM proceedings
Kouhia R, Marjamäki P, Kivilahti J (2005) On the implicit integration of rate-dependent inelastic constitutive models. Int J Numer Methods Eng 62(13):1832–1856
Lemaitre J (1992) A course on damage mechanics. Springer, Berlin
Lemaitre J, Chaboche J-L (1990) Mechanics of solid materials. Cambridge University Press, Cambridge
Perzyna P (1966) Fundamental problems in viscoplasticity. Advances in Applied Mechanics, vol 9. Academic Press, London
Ristinmaa M, Ottosen N (2000) Consequences of dynamic yield surface in viscoplasticity. Int J Solids Struct 37:4601–4622
Runesson K, Sture S, Willam K (1988) Integration in computational plasticity. Comput Struct 30:119–130
Simo J, Hughes T (1998) Computational inelasticity, 1st edn. Springer, New York
Wallin M, Ristinmaa M (2001) Accurate stress updating algorithm based on constant strain rate assumption. Comput Methods Appl Mech Eng 190:5583–5601
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This research has been supported in part by the Academy of Finland, decision number 121778.
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Hartikainen, J., Kolari, K., Kouhia, R. (2013). Failure Simulations with a Strain Rate Dependent Ductile-to-Brittle Transition Model. In: Repin, S., Tiihonen, T., Tuovinen, T. (eds) Numerical Methods for Differential Equations, Optimization, and Technological Problems. Computational Methods in Applied Sciences, vol 27. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5288-7_24
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