We grappled with how to usefully apply Work Domain Analysis (WDA) to analyze categories of domains with secondary purposes and no ideal grain of decomposition.
This work is motivated by the design and implementation of dense linear algebra over a finite field, where fast matrix multiplication is used extensively and where costly modular reductions also advocate for coarse grain block decomposition.
Further, during decomposition, grain growth is effectively suppressed.
The potential reasons, that is, internal stresses, grain size effect, decomposition, ordering/disordering, are discussed.
Smaller grains lead to faster decomposition and earlier precipitation of wurtzite AlN.
The subsequent reaction between the product of the thermal decomposition, micro-grains of sodium carbonate (Na2CO3) and SO2 is considered in the reaction path by the use of a pore plugging model.
Dislocations generated as a result of grain-rotation-induced grain coalescence and grain-boundary decomposition in the vicinity of certain triple junctions also contribute to the deformation.
We have used a phase field model of a polycrystalline alloy, presented in [Acta Mater. 51 (2003) 4761], to study the effect of enhanced atomic mobility at the grain boundary (GB) on spinodal decomposition (SD) in two dimensional systems.
Therefore, the hardness of TiSiN/TiN multilayer can be maintained at ~ 38.9 GPa upon annealing to 1100 °C, where the hardness of TiSiN coating already decreases from as-deposited ~ 40.6 GPa to ~ 36.2 GPa due to the grain coarsening and the thermal decomposition.
Additional file 1: Results of grain boundary porosity simulation showing decomposition of the initial fluctuating porosity into discrete bubbles followed by coalescence and relocation towards edges and vertices.
