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  1. We explore new ways of regulating defect behavior in systems of conservation laws. Contrary to usual regularization schemes (such as a vanishing viscosity limit), which attempt to control defects by making the...

    Authors: Hunter Swan, Woosong Choi, Stefanos Papanikolaou, Matthew Bierbaum, Yong S. Chen and James P. Sethna
    Citation: Materials Theory 2018 2:5
  2. Continuum dislocation dynamics (CDD) aims at representing the evolution of systems of curved and connected dislocation lines in terms of density-like field variables. Here we discuss how the processes of dislo...

    Authors: Mehran Monavari and Michael Zaiser
    Citation: Materials Theory 2018 2:3
  3. The standard way of modeling plasticity in polycrystals is by using the crystal plasticity model for single crystals in each grain, and imposing suitable traction and slip boundary conditions across grain boun...

    Authors: Nikhil Chandra Admal, Giacomo Po and Jaime Marian
    Citation: Materials Theory 2017 1:6
  4. We present a continuum model of ion-induced surface patterning. The model incorporates the atomic processes of sputtering, re-deposition and surface diffusion, and is shown to display the generic features of t...

    Authors: Christopher S. R. Matthes, Nasr M. Ghoniem and Daniel Walgraef
    Citation: Materials Theory 2017 1:5
  5. A new computationally efficient model of an included phase located at the interface between two other phases is developed by projecting the boundaries of the inclusion onto the boundary between the two other p...

    Authors: Andrew A. Prudil and Michael J. Welland
    Citation: Materials Theory 2017 1:4

    The Erratum to this article has been published in Materials Theory 2017 1:7

  6. Cracks are created by massive breakage of molecular or atomic bonds. The latter, in its turn, leads to the highly localized loss of material, which is the reason why even closed cracks are visible by a naked e...

    Authors: K. Y. Volokh
    Citation: Materials Theory 2017 1:3
  7. The purpose of the current work is the formulation of models for conservative and non-conservative dynamics in solid systems with the help of the General Equation for the Non-Equilibrium Reversible-Irreversibl...

    Authors: Markus Hütter and Bob Svendsen
    Citation: Materials Theory 2017 1:2

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