Multiscale Materials Modeling: Why, How and What's Next?
Prof. Ellad B. Tadmor
Faculty of Mechanical Engineering
Technion -- Israel Institute of Technnology
A dominant trend in materials science in the world today is the development of theoretical and computational models able to predict the behavior of existing materials and to design new materials from first principles. Central to this effort has been the development of multiscale methods which recognize that material behavior is a result of coupled processes occurring on many different length and time scales. Tremendous progress has been made in this area over the past 10 years and methods exist today that can couple processes occurring on an atomic scale to the surrounding continuum. Despite this progress, many challenges remain and much more needs to be done.
In this talk I will present a broad overview of this emerging new field. I will motivate the need for multiscale modeling by giving a series of examples of material behavior at different temporal and spatial scales. I will then discuss some of the main multiscale techniques developed in recent years, including the quasicontinuum method with which I have been extensively involved. I will end with a discussion of current limitations of existing methods and future directions.