About this Abstract |
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 |