About this Abstract |
Meeting |
2025 TMS Annual Meeting & Exhibition
|
Symposium
|
Algorithms Development in Materials Science and Engineering
|
Presentation Title |
Lattice to Continuum |
Author(s) |
Gorkem Gengor, Orcun Koray Celebi, Huseyin Sehitoglu |
On-Site Speaker (Planned) |
Gorkem Gengor |
Abstract Scope |
Atomistic approaches treat atoms as point-like entities. This makes atomistics incompatible with fundamental field theories, such as Quantum Field Theory. To bridge the gap between atomistics and field theories, we propose two novel methods for generating continuum elastic fields based on discrete atomistic calculations. Firstly, Regularized Green's Function Method (RGFM) formulates a continuum representation of point defect-induced distortions. RGFM derives a continuum displacement field by using electron wavefunctions and densities. Each atom in RGFM is represented by a force distribution called Quantum Mechanical Force Density. RGFM renders non-singular and accurate elastic fields at short- and long-ranges. We also present, Quantum Mechanical Moduli Field, which captures the crystalline structure's intrinsic inhomogeneity. Using electron densities, we obtain a spatially resolved elastic modulus contrary to classical constant moduli assumption. The goal is to compute the Quantum Mechanical Stress Density (QMSD) field, and then determine the variation of QMSD with respect to strain. |
Proceedings Inclusion? |
Planned: |
Keywords |
Mechanical Properties, Modeling and Simulation, Computational Materials Science & Engineering |