2001/10/18 by Jérôme Paret, Jerome Paret, Paret, Jerome
Computer Science · Engineering · Materials Science · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Aluminum Alloy Microstructure Properties #Solidification and crystal growth phenomena #cond-mat.mtrl-sci
paper · pdf · doi:10.48550/arxiv.cond-mat/0110378
RevTeX4 source file, 1 eps figure
arxiv created 2001/10/18 · arxiv updated 2009/11/30
We introduce a new phase-field model which allows for simulation of incoherent solid/solid transformations. Contrary to previous models which impose coherency at the interface, the zero shear-stress condition characteristic of incoherent solids is recovered in the limit of small interface thickness. For the sake of clarity, we limit ourselves to the case of stress-driven phase transitions between two elastic solids. However, since we use a variational formulation which has a clear thermodynamic interpretation, the extension of the model to the cases of chemical and/or thermal diffusion is straightforward.