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Explore coupled thermo-chemo-mechanical phenomena in materials processing during this 45-minute talk by Arif Masud from the University of Illinois Urbana-Champaign at the 2024 SIAM Conference on Materials Science (MS24). Discover the Variational Multiscale Discontinuous Galerkin (VMDG) method that effectively couples coarse- and fine-scale equations to model complex systems with enhanced accuracy. Learn how this method extends to material deposition and processing in layered 3D printing, providing a framework for data-driven discrepancy modeling. Examine numerical test cases that demonstrate the method's superior stability and spatial accuracy in simulating dynamic processes during advanced materials manufacturing and biological tissue growth.