Learning based multi-scale modeling

Add to your list(s) Download to your calendar using vCal

• Prof Kaushik Bhattacharya, California Institute of Technology
• Friday 26 February 2021, 16:00-17:00
• Zoom Meeting ID: 819 1682 8857.

If you have a question about this talk, please contact Hilde Hambro.

email hh463@cam.ac.uk for passcode

The behavior of materials involve physics at multiple length and time scales: electronic, atomistic, domains, defects etc. The engineering properties that we observe and exploit in application are a sum total of all these interactions. Multiscale modeling seeks to understand how the physics at the finer scales affect the coarser scales. This can be challenging for two reasons. First, it is computationally expensive due to the need to repeatedly solve the finer scale model. Second, it requires a priori (empirical) knowledge of the aspects of the finer-scale behavior that affect the coarser scale (order parameters, state variables, descriptors, etc.). This is especially challenging in situations where the behavior depends on time. We regard the solution of the finer-scale model as an input-output map (possibly between infinite dimensional spaces), and introduce a a general framework for the data-driven approximation of such maps. The proposed approach is motivated by the recent successes of neural networks and deep learning, in combination with ideas from model reduction. This combination results in a neural network approximation that is computationally inexpensive, independent of the need for a priori knowledge, and can be used directly in the coarser scale calculations. We demonstrate the ideas with examples drawn from first principles study of defects and crystal plasticity study of inelastic impact. The work draws from collaborations with the Caltech PDE -ML group and in particular Burigede Liu, Nikola Kovachki and Ying Shi Teh.

This talk is part of the Engineering - Mechanics Colloquia Research Seminars series.

This talk is included in these lists:

• All Talks (aka the CURE list)
• Cambridge University Engineering Department Talks
• Cambridge talks
• Centre for Smart Infrastructure & Construction
• Civil Engineering Talks
• Computational Continuum Mechanics Group Seminars
• Engineering - Dynamics and Vibration Tea Time Talks
• Engineering - Mechanics Colloquia Research Seminars
• Engineering - Mechanics and Materials Seminar Series
• Engineering - Mechanics, Materials and Design (Div C) - talks and events
• Featured lists
• Interested Talks
• Lennard-Jones Centre external
• School of Technology
• Trust & Technology Initiative - interesting events
• Zoom Meeting ID: 819 1682 8857
• bld31

Note that ex-directory lists are not shown.