About this Abstract |
Meeting |
TMS Specialty Congress 2024
|
Symposium
|
2nd World Congress on Artificial Intelligence in Materials & Manufacturing (AIM 2024)
|
Presentation Title |
Thermodynamically Consistent Neural Networks for Modeling of Inelastic Material Responses |
Author(s) |
Liam Mackin, Bradley D. Davidson, Rohan Patel, Reed Kopp, David Najera |
On-Site Speaker (Planned) |
Liam Mackin |
Abstract Scope |
The formulation of constitutive models for path-dependent materials is a well-known bottleneck for simulations of nonlinear material behavior, particularly for heterogeneous materials with distinct structures and behavior at different length scales We introduce an approach, inspired by deep recurrent neural networks, for automatic discovery of these unknown path-dependent constitutive models. The universal approximation properties of deep neural networks make them particularly well-suited for this purpose, and additional structure is imposed on the network to ensure that it learns a thermodynamically consistent set of internal state variables and state variable evolution laws. We show how the trained neural network can be embedded into a commercial Finite Element Solver and used to solve for stress and other state variables at each increment and integration point. Finally, we show how this approach can be used to homogenize RVEs at any length scale and enable efficient multi-scale modeling of advanced nonlinear path-dependent materials. |
Proceedings Inclusion? |
Definite: Other |