2010
DOI: 10.1016/j.cma.2010.05.009
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A level set approach to domain wall kinetics and domain patterning in elastic ferroelectrics

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Cited by 4 publications
(3 citation statements)
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“…A similar analysis was performed by Kalpakides and Arvanitakis [14,15] in the context of electro-elasticity by reproducing successfully the microstructure of two-dimensional ferroelectric materials after using two level set functions. It becomes evident that as in the sharp interface theory, the level set formulation provides us with the potential to determine only the driving force within the transition layer.…”
Section: Material-inhomogeneity Forcesmentioning
confidence: 77%
“…A similar analysis was performed by Kalpakides and Arvanitakis [14,15] in the context of electro-elasticity by reproducing successfully the microstructure of two-dimensional ferroelectric materials after using two level set functions. It becomes evident that as in the sharp interface theory, the level set formulation provides us with the potential to determine only the driving force within the transition layer.…”
Section: Material-inhomogeneity Forcesmentioning
confidence: 77%
“…The model captures the dynamic response of a Ni-Mn-Ga single crystal subjected to combined magnetic and mechanical loads. The DTBD approach is similar to discrete dislocation dynamics that is used to describe plasticity in crystalline materials (see, e.g., [33]), and to several works in the field of domain pattern evolution in ferroelectrics [34][35][36][37][38]. In all cases, the different crystalline defects, i.e., twin boundaries, domain walls or dislocations are treated as discrete entities and their evolution is governed by well-defined kinetic relations.…”
Section: Introductionmentioning
confidence: 99%
“…Unlike the work of Zhao et al (85), in this paper overlapping is not prohibited and in fact intersecting area corresponds to an additional phase of the material. To study the multiphase problem, it is necessary to formulate an appropriate expression for the energy of the material containing the above four phases (37). As before a regularized version of the energy is adopted…”
Section: Two Level Set Functionsmentioning
confidence: 99%