Modeling of Microstructure Evolution: Mesoscale Challenges
This introductory chapter presents a perspective on multiscale modeling that emphasizes the role and challenges of mesoscale methods and their impact on understanding and predicting material properties. The predictive power of the combined experimental, theoretical, and computational mesoscale approaches is illustrated by a brief discussion of the phase field method and its application to microstructure evolution. After summarizing the main ideas of each chapter in the section, the state of the art and the future of the field are examined by asking and answering four questions: Is the 3-D representation always necessary?, Do mesoscale computational methods capture nonequilibrium?, To what degree are mesoscale methods quantitative?, and Are mesoscale methods computationally efficient?
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