Constitutive equations of a tensorial model for strain-induced damage of metals based on three invariants

Tutyshkin, Nikolai; Lofink, Paul; Müller, Wolfgang; Wille, Rudolf; Stahn, Oliver

doi:10.1007/s00161-016-0529-7

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2019

2023

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Cited by 3 publications

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“…The thermomechanical formation process of metallic polycrystals is strongly affected by the orientation of the crystal lattice in the individual grains, lattice curvature, dislocations, and the migration of grain boundaries [1]. The mathematical modeling of such phenomena needs to account for the formation, nucleation and growth of voids within the material through suitable constitutive parameters [28].…”

Section: Introductionmentioning

confidence: 99%

On a modified Becker–Döring model for two-phase materials

Blesgen

Amendola

2019

Continuum Mech. Thermodyn.

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This work reconsiders the Becker-Döring model for nucleation under isothermal conditions in the presence of phase transitions. Based on thermodynamic principles a modified model is derived where the condensation and evaporation rates may depend on the phase parameter. The existence and uniqueness of weak solutions to the proposed model are shown and the corresponding equilibrium states are characterized in terms of response functions and constitutive variables.

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Section: Introductionmentioning

confidence: 99%