Dislocation Motion Induced by Thermally Driven Phase Transformations

The interaction of dislocations with phase boundaries is an interesting aspect the interplay between transformation and plasticity at nano-scale. We capture this within a field framework coupled to discrete dislocation dynamics. In order regularize stress driving force for evolution core, first strain-gradient elasticity approach used, which leads more physical, discretization-independent numerical solutions. From mathematical point view, results in system partial differential equations (PDEs) ordinary (ODEs). PDEs include equation analogous balance linear momentum, second-order tensor-valued Helmholtz-type true as well time-dependent Ginzburg-Landau field. ODEs are motion dislocations. modeled lamellae eigenstrain that can evolve time; resulting outcome solution. A parallel was developed solve these dynamics problems using finite element library FEniCS. show effect on microstructure influence illustrative example thermally-driven planar boundary, its single edge dislocation.