Determining the Burgers vectors and elastic strain energies of interface dislocation arrays using anisotropic elasticity theory The MIT Faculty has made this article openly available . Please share Citation Vectors and Elastic Strain Energies of Interface

  • Vattre, A.J. A
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Abstract

A general dislocation-based formalism linking the Frank-Bilby equation and heterogeneous anisotropic elasticity theory under the fundamental condition of vanishing far-field stresses is developed. The present approach gives rise to the determination of the non-arbitrary reference state, within which the Burgers vectors of individual interface dislocations are defined. A solution strategy is also formulated to predict the correct reference state in accordance with the geometric structures of interfaces and the (unequal) partitioning of elastic fields between neighboring crystals. From this dual description of interfaces, the elastic strain energies of dislocation arrays are computed using solutions of short-range fields. Examples of several simple interfaces, namely symmetric tilt and twist grain boundaries as well as pure misfit heterophase interfaces are presented

Author-supplied keywords

  • arrays of dislocations
  • interface energy
  • linear elasticity theory
  • semi-coherent interfaces

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Authors

  • and M.J. Demkowicz. Vattre, A.J.

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