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Meeting 2021 TMS Annual Meeting & Exhibition
Symposium Algorithm Development in Materials Science and Engineering
Presentation Title Full-field Stress Computation from Measured Deformation Fields: A Hyperbolic Formulation
Author(s) Benjamin Cameron, Cem Tasan
On-Site Speaker (Planned) Benjamin Cameron
Abstract Scope Recent developments in microscopic imaging techniques and correlation algorithms enable measurement of strain fields on a deforming material at high spatial and temporal resolution. In such cases, the computation of the stress field from the known deformation field becomes an interesting possibility. This is known as an inverse problem. Current approaches to this problem can provide approximate solutions, however accuracy is still a significant challenge. Here, we show how the inverse problem can be exactly solved in two or three dimensions for large classes of materials including isotropic elastic solids, Newtonian fluids, non-Newtonian fluids, granular materials, plastic solids subject to co-directionality, and other plastic solids. A system of linear hyperbolic partial differential equations is derived and validated demonstrating exact results (within numerical error). Furthermore, the approach can be used in a wide range of geometries and loading conditions giving rise to great practical utility.
Proceedings Inclusion? Planned:
Keywords Characterization, Computational Materials Science & Engineering, Mechanical Properties

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Application of a Shape Moment Descriptor Set Towards a Robust and Transferable Description of Local Atomic Environments
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Bayesian Data Assimilation for Phase-field Simulation of Solid-state Sintering
Characterizing Atomistic Geometries and Potential Functions Using Strain Functionals
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Comparison of Correction Schemes for Charged Point Defects in 2D Materials
Computational Synthesis of Substrates by Crystal Cleavage
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Development of Machine Learned SNAP Potentials for Studying Radiation Damage in Materials
Dislocation Dipole Study on Material Hardening/Softening
Exascale-motivated Algorithm Development for Nano and Mesoscale Materials Methods
Full-field Stress Computation from Measured Deformation Fields: A Hyperbolic Formulation
Global Local Modeling of Melt Pool Dynamics and Bead Formation in Laser Bed Powder Fusion Process Using a Comprehensive Multi-Physics Simulation
Grain Boundary Network Optimization through Human Computation and Machine Learning
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