|About this Abstract
||Materials Science & Technology 2019
||Late News Poster Session
||P1-97: Numerical Methods Applications in Crystal Plasticity Finite Element Method
||Theodore Zirkle, Bill Locke, Ben Anglin, Clint Geller, David L. McDowell
|On-Site Speaker (Planned)
Complex crystal plasticity models used in finite element applications generally require implicit integration in order to update the internal state variables while maintaining global force equilibrium. Implicit integration schemes require an understanding of the state variables at a future time increment, necessitating the application of root-finding numerical methods. The numerical method generally used in the iterative implicit integration scheme is Newton’s method coupled with a mathematically derived Jacobian of the slip system level flow rule. However, in the case where the flow rule is too complex or involves non-general terms, the Jacobian calculation can become unwieldy and computationally expensive. Here, we present modifications to the traditional numerical methods that increase the accuracy and computational speed of the implicit integration through the use of Broyden’s method coupled with a numerically evaluated Jacobian.