Modeling Complex Behavior of Lattices to Enable Multiscale Design

Executive Summary

We will use machine learning techniques to develop accurate, efficient surrogate models for the complex response of micro-architected materials by training them on data sets we will generate using the finite element analysis of designs adaptively sampled from the full design space. The resulting surrogate models will have increased predictive power and reduced uncertainty relative to the current state of the art and can be implemented using existing design codes to support the nuclear weapons stockpile stewardship and national security missions.

Publications, Presentations, and Patents

Swartz, Kenneth E., Daniel A. White, Daniel A. White, and Kai A. James. 2021. “Topology optimization of 3D photonic crystals with complete bandgaps.” Optics Express 29, no. 14: 22170-22191.

Dalklint, Anna, Mathias Wallin, and Daniel A. Tortorelli. 2021. “Structural stability and artificial buckling modes in topology optimization.” Structural and Multidisciplinary Optimization, 64: 1751-1763.

Wallin, Mathias, Anna Dalklint, and Daniel Tortorelli. 2021. “Topology of bistable elastic structures – an application to logic gates.” Computer Methods in Applied Mechanics and Engineering 383: 113912.

Ivarsson, Niklas, Mathias Wallin, Oded Amir, and Daniel A. Tortorelli. 2021. “Plastic work constrained elastoplastic topology optimization.” International Journal for Numerical Methods in Engineering 122, no. 16: 4354-4377.

Swartz, Kenneth E. 2021. “Topology optimization of photonic crystals for maximum bandgap with stiffness constraint.” World Congress on Structural and Multidisciplinary Optimization, Boulder, CO, June 13-18 2021.

Swartz, Kenneth E., Daniel A. White, Daniel A. Tortorelli, and Kai A. James. 2021. “Topology optimization of photonic crystals for maximum bandgap with stiffness constraints.” US National Congress on Computational Mechanics, Chicago, IL, July 25-29 2021.

Jekel, Charles F., Kenneth E. Swartz, Daniel A. White, Daniel A. Tortorelli, and Seth Watts. 2021. “Surrogate models of elastic responses from truss lattices for multiscale design.” World Congress on Structural and Multidisciplinary Optimization, Boulder, CO, June 13-18 2021.

Wallin, Mathias, Niklas Ivarsson, Oded Amir, and Daniel A. Tortorelli. 2021. “Plastic work constrained topology optimization.” World Congress on Structural and Multidisciplinary Optimization, Boulder, CO, June 13-18 2021.

Dalklint, Anna, Mathias Wallin, and Daniel A. Tortorelli. 2021. “Topology optimization of eigenvalue problems.” World Congress on Structural and Multidisciplinary Optimization, Boulder, CO, June 13-18 2021.

Granlund, Gunnar, Mathias Wallin, and Daniel A. Tortorelli. 2021. “Stress constrained topology optimization.” World Congress on Structural and Multidisciplinary Optimization, Boulder, CO, June 13-18 2021.