Exploring foci of:
arXiv (Cornell University)
An attention-based neural ordinary differential equation framework for modeling inelastic processes
February 2025 • Reese E. Jones, Jan N. Fuhg
To preserve strictly conservative behavior as well as model the variety of dissipative behavior displayed by solid materials, we propose a significant enhancement to the internal state variable-neural ordinary differential equation (ISV-NODE) framework. In this data-driven, physics-constrained modeling framework internal states are inferred rather than prescribed. The ISV-NODE consists of: (a) a stress model dependent, on observable deformation and inferred internal state, and (b) a model of the evolution of the i…
Differential (Mechanical Device)
Computer Science
Differential Equation
Mathematics
Physics
Mathematical Analysis