Mathematical Sciences: Elastodynamic Modelling of Stress Driven Phase Boundary Motion

相干相变导致特征精细尺度 结构.基于弹性最小化的分析方法 能源已经取得了相当大的成功，但他们也有显着的 局限性。数值方法是绝对必要的， 探索局部极小化，以了解各种 选择机制，最重要的是建模动态。我们 将继续开发一种新的方法， 非凸弹性能弹性动力学和 将考虑扩散驱动的动力学。这项工作将使 在串行和并行上使用大规模计算 建筑

Coherent phase transitions lead to characteristic fine scale structures. Analytic methods based on the minimization of elastic energy have had considerable success, but they also have notable limitations. Numerical methods are an absolute necessity for exploring local minimizers, for understanding the role of various selection mechanisms, and above all for modelling dynamics. We will continue the development of a new approach based on nonconvex elastic energies. Both elastodynamics and diffusion-driven dynamics will be considered. This work will make use of large-scale computation on both serial and parallel architectures.