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Meeting 2027 TMS Annual Meeting & Exhibition
Symposium Algorithms Development in Materials Science and Engineering
Presentation Title Fracture-Aware Topology Optimization With and Without Gradients on a GPU-Native Finite-Element Framework
Author(s) Jaime A. Berkovich, Markus J. Buehler
On-Site Speaker (Planned) Jaime A. Berkovich
Abstract Scope We present a GPU-native framework for fracture-aware topology optimization with and without gradients: two strategies sharing one finite-element engine, both generating hierarchical, damage-tolerant architectures. The engine is a JAX-based GPU code for phase-field cohesive-zone fracture and contact-aware mechanics, built for vectorized, batched simulation. The gradient-based strategy differentiates end-to-end through the history-dependent fracture simulation: damage irreversibility destabilizes naive automatic differentiation, so we recover finite-difference-verified sensitivities via implicit adjoints of the projected damage problem, driving constrained, robust design of periodic unit cells under stochastic material variability. The gradient-free strategy evolves cellular-automaton rules that grow periodic and aperiodic architectures, with a genetic algorithm searching rule space and the same engine supplying high-throughput fitness evaluation; evolved structures are compared against biological motifs via shape embeddings. Benchmarking both on shared fracture objectives maps where adjoint gradients accelerate design and where discontinuous, path-dependent landscapes favor rule-space evolution—a scalable, verified strategy for GPU-accelerated generative materials design.
Proceedings Inclusion? Planned:
Keywords Computational Materials Science & Engineering, Mechanical Properties, Modeling and Simulation

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