|About this Abstract
||2016 TMS Annual Meeting & Exhibition
||Mechanical Behavior at the Nanoscale III
||A Fast Fourier Transform Based-approach for the Modeling and Simulation of Grain Boundary Defects
||Stephane Berbenni, Vincent Taupin, Claude Fressengeas
|On-Site Speaker (Planned)
The understanding and the modelling of grain boundaries is a fundamental issue to explain the mechanical behavior of nanocrystalline materials. Here, a numerical spectral approach is developed to solve the field equations of disclination mechanics in periodic media. Given a spatial distribution of disclination density tensors in heterogeneous or homogenous linear elastic media, the incompatible and compatible elastic distortions are respectively obtained from the solutions of Poisson and Navier-type equations in the Fourier space. The discrete Fourier transforms are solved by the Fast Fourier Transform (FFT) method without spurious Gibbs oscillations in the vicinity of the defects. The results include the mechanical fields of grain boundaries (GBs) seen as DSUM (i.e. Disclination Structural Unit Model), as well as GB disconnections.
||Planned: A print-only volume