Abstract
In this work, a thermodynamically consistent framework for a gradient enhanced plasticity model is given to introduce material length scales through the second order gradients of both the kinematic and isotropic hardening variables. In order to give a micromechanical basis for the gradient enhanced continuum model, the evolution equations of the internal state variables derived through the gradient theory are compared to the evolution equations based on dislocation theories involving mobile and immobile dislocations, and the gradient coefficients are defined using material parameters from thes dislocation theories.
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Voyiadjis, G.Z., Dorgan, R.J. (2004). Gradients of Hardening in Nonlocal Dislocation Based Plasticity. In: Ahzi, S., Cherkaoui, M., Khaleel, M.A., Zbib, H.M., Zikry, M.A., Lamatina, B. (eds) IUTAM Symposium on Multiscale Modeling and Characterization of Elastic-Inelastic Behavior of Engineering Materials. Solid Mechanics and Its Applications, vol 114. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0483-0_20
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DOI: https://doi.org/10.1007/978-94-017-0483-0_20
Publisher Name: Springer, Dordrecht
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