Scale-Free Phase Field Theory of Dislocations
نویسندگان
چکیده
منابع مشابه
Dislocations in the Field Theory of Elastoplasticity *
A (microscopic) static elastoplastic field theory of dislocations with moment stress is considered. The relationship between the moment stress and the Nye tensor is discussed and used for the dislocation Lagrangian. We discuss the stress field of a screw dislocation which is modified in the core region due to the appearance of moment stress.
متن کاملPhase-field approach to surface-induced phase transformations and dislocations
The Ginzburg-Landau theory for multivariant martensitic phase transformations is advanced in three directions: the potential is developed that introduces the surface tension at interfaces; a mixed term in gradient energy is introduced to control the martensite-martensite interface energy independent of that for austenite-martensite; and a noncontradictory expression for variable surface energy ...
متن کاملMean-field theory for scale-free random networks
Random networks with complex topology are common in Nature, describing systems as diverse as the world wide web or social and business networks. Recently, it has been demonstrated that most large networks for which topological information is available display scale-free features. Here we study the scaling properties of the recently introduced scale-free model, that can account for the observed ...
متن کاملΓ-Limit of a Phase-Field Model of Dislocations
We study, by means of Γ-convergence, the asymptotic behaviour of a variational problem modeling a dislocation ensemble moving on a slip plane through a discrete array of obstacles. The variational problem is a two dimensional phase transition type energy given by a non local term and a non linear potential which penalizes non integer values. In this paper we consider a regime corresponding to a...
متن کاملOrbital-free density functional theory simulations of dislocations in aluminum
This article may be used for research, teaching and private study purposes. Any substantial or systematic reproduction, redistribution , reselling , loan or sub-licensing, systematic supply or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to da...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2015
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.114.015503