On the relevance of generalized disclinations in defect mechanics

  title={On the relevance of generalized disclinations in defect mechanics},
  author={Chiqun Zhang and Amit Acharya},
  journal={Journal of the Mechanics and Physics of Solids},
Discrete-to-continuum limits of planar disclinations
In materials science, wedge disclinations are defects caused by angular mismatches in the crystallographic lattice. To describe such disclinations, we introduce an atomistic model in planar domains.
Singularity-free defect mechanics for polar media
We present singularity-free solution for cracks within polar media in which material points possess both position and orientation. The plane strain problem is addressed in this study for which the
Mechanics of moving defects in growing sheets: 3-d, small deformation theory
Growth and other dynamical processes in soft materials can create novel types of mesoscopic defects including discontinuities for the second and higher derivatives of the deformation, and terminating
Role of equilibrium and non-equilibrium grain boundary stress fields on dislocation transmission
This study presents an approach to investigate the influence of intergranular stresses induced by equilibrium and non-equilibrium grain boundaries (GBs) on dislocation transmission via the discrete
Fracture and Singularities of the Mass-Density Gradient Field
A continuum mechanical theory of fracture without singular fields is proposed. The primary contribution is the rationalization of the structure of a ‘law of motion’ for crack-tips, essentially as a
Computational Approximation of Mesoscale Field Dislocation Mechanics at Finite Deformation
This work involves the modeling and understanding of mechanical behavior of crystalline materials using ?nite deformation Mesoscale Field Dislocation Mechanics (MFDM). MFDM is a Partial Differential


Continuum mechanics of the interaction of phase boundaries and dislocations in solids
The continuum mechanics of line defects representing singularities due to terminating discontinuities of the elastic displacement and its gradient field is developed. The development is intended for
Disclinations in nonlinear elasticity
The theory of line defects (dislocations and disclinations) in elastic bodies has been revisited. A consistent application of the formal limiting passage from isolated defects to the continuous
Coupled phase transformations and plasticity as a field theory of deformation incompatibility
The duality between terminating discontinuities of fields and the incompatibilities of their gradients is used to define a coupled dynamics of the discontinuities of the elastic displacement field
Theory of Disclinations: II. Continuous and Discrete Disclinations in Anisotropic Elasticity.
  • R. Dewit
  • Physics, Medicine
    Journal of research of the National Bureau of Standards. Section A, Physics and chemistry
  • 1973
A general theory of stationary disclinations for a linearly elastic, infinitely extended, homogeneous body is developed and Anthony and Mura's approaches to disclination theory are clarified.