Singh S, Pflug L, Mergheim J, Stingl M (2023)
Publication Type: Journal article
Publication year: 2023
Book Volume: 12
Article Number: 100200
DOI: 10.1016/j.finmec.2023.100200
We propose a novel approach to optimize the design of heterogeneous materials, with the goal of enhancing their effective fracture toughness under mode-I loading. The method employs a Gaussian processes-based Bayesian optimization framework to determine the optimal shapes and locations of stiff elliptical inclusions within a periodic microstructure in two dimensions. To model crack propagation, the phase-field fracture method with an efficient interior-point monolithic solver and adaptive mesh refinement, is used. To account for the high sensitivity of fracture properties to initial crack location with respect to heterogeneities, we consider multiple cases of initial crack and optimize the material for the worst-case scenario. We also impose a minimum clearance constraint between the inclusions to ensure design feasibility. Numerical experiments demonstrate that the method significantly improves the fracture toughness of the material compared to the homogeneous case.
APA:
Singh, S., Pflug, L., Mergheim, J., & Stingl, M. (2023). On optimization of heterogeneous materials for enhanced resistance to bulk fracture. Forces in Mechanics, 12. https://doi.org/10.1016/j.finmec.2023.100200
MLA:
Singh, Sukhminder, et al. "On optimization of heterogeneous materials for enhanced resistance to bulk fracture." Forces in Mechanics 12 (2023).
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