Abstract
The paper deals with a generalized macroscopic theory of anisotropically damaged elastic-plastic solids. A macroscopic yield condition describes the plastic flow properties and a damage criterion represents isotropic and anisotropic effects. The unbalance of pseudomomentum is established based on the second law of thermodynamics. Evaluation of a strain energy function and assuming the existence of pseudo-potentials of plastic and damage dissipation leads to the definition of the configurational stress tensor, inhomogeneity force and material dissipation force.
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References
Brünig, M., A framework for large strain elastic-plastic damage mechanics based on metric transformations, Int. J. Eng. Sci. 39 (2001), 1033–1056.
Brünig, M., An anisotropic ductile damage model based on irreversible thermodynamics, Int. J. Plasticity 19 (2003), 1679–1713.
Eshelby, J.D., The force on an elastic singularity, Phil. Trans. Roy. Soc. London A 244 (1951), 87–112.
Kienzler, R., Herrmann, G., Mechanics in material space, Springer: New York, Berlin, Heidelberg (2000).
Maugin, G.A., Eshelby stress in elastoplasticity and ductile fracture, Int. J. Plasticity 10 (1994), 393–408.
Maugin, G.A., Material forces: Concepts and applications, ASME Appl. Mech. Rev. 48 (1995), 213–245.
Mueller, R., Kolling, S., Gross, D., On configurational forces in the context of the finite element method, Int. J. Numer. Meth. Engng. 53 (2002), 1557–1574.
Spitzig, W.A., Sober, R.J., Richmond, O., Pressure dependence of yielding and associated volume expansion in tempered martensite, Acta Metall. 23 (1975) 885–893.
Steinmann, P., Application of material forces to hyperelastostatic fracture mechanics. I. Continuum mechanical setting, Int. J. Solids Structures 37 (2000) 7371–7391.
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Brünig, M. (2005). Configurational Stress Tensor in Anisotropic Ductile Continuum Damage Mechanics. In: Steinmann, P., Maugin, G.A. (eds) Mechanics of Material Forces. Advances in Mechanics and Mathematics, vol 11. Springer, Boston, MA. https://doi.org/10.1007/0-387-26261-X_31
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DOI: https://doi.org/10.1007/0-387-26261-X_31
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-26260-4
Online ISBN: 978-0-387-26261-1
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