Innovation in Materials Processing using Synthesis and Generalization of Multiphysics, Multicoupled Systems

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The ultimate goal of this Discovery program is to greatly accelerate the innovation cycle for all materials processes. In the short term, the focus will be on arc welding and on the creation of mathematical tools to study multiphysics, multicoupled processes. It is generally agreed that innovation and design in materials process is hindered by the broad gap between scientific understanding of materials processes and its engineering application. The proposed Discovery program aims at bridging this gap by developing accurate, general, computationally efficient models and design rules for materials processes. These models and design rules will be based on advanced, cross-disciplinary mathematical methodologies and intense experimentation. The methodologies developed will be of direct help in relating processing, structure, and properties to each other at a quantitative level. The radically new tools and knowledge developed will enable proper materials process engineering treatment instead of the current approach of trial and error. This work is expected to be of much influence to practitioners, but the foundations to arrive to the results are beyond industry's mandate and abilities.**The work to be carried out leverages and expands on the tools developed during the previous round of Discovery funding, activities that have been published and received important international awards and recognition. The education objective of this program is to expose future HQP to real-life processes that are very difficult to idealize, and to teach them to distill the essential features of these processes to make quantitative predictions. HQP will also be exposed to state of the art scientific equipment and software, and full-scale production equipment.**The advanced methodologies to be employed consist of a combination of numerical modeling and experimental measurements within the framework of scaling techniques. The Canadian Centre for Welding and Joining already counts with all necessary software and experimental facilities to develop the methodologies proposed. The implementation and development of scaling techniques is a distinguishing aspect of this proposal, and is especially suitable to addresses the complex nature of materials processing, particularly welding. Scaling is a proven technique for the synthesis, generalization, and extrapolation of knowledge across systems in physics, applied mathematics, and many engineering disciplines. Judging by the impact of Scaling on those other disciplines, its application to the field of materials science and engineering holds enormous potential. Scaling results are useful at the conceptual stage in the design process, as real-time models in control systems, and as benchmarks of numerical models and experiments.**The impact of the proposed studies on multicoupled, multiphysics, non-equilibrium problems can be very large. Welding in particular is essential for the manufacturing industry and for the exploitation of Canada's vast natural resources. The methodologies to be developed are useful beyond welding, and through existing collaborations, (both academic and with industry) it is expected that they will benefit many materials processes. Scaling techniques are useful beyond materials processing and engineering in general, reaching physics, applied mathematics, biology (where the resulting scaling laws are called "allometric laws"), and operations management. The applications of the scaling methodologies developed in this proposed work will trickle down to those other areas through interdisciplinary collaborations. The proposed research program will be synergistic with other current and future more narrowly defined projects in which scientific understanding is required for a particular materials process.