Model reduction on 3D fracture resistance design

• Published in: Journal of computational physics 2022-08, Vol.463, p.111274, Article 111274
• Main Author: Da, Daicong
• Format: Article
• Language: English
• Subjects: Composite structures; Computational physics; Crack initiation; Crack propagation; Damage; Fracture mechanics; Fracture resistance; Fracture toughness; Mathematical models; Mechanical properties; Model reduction; Optimization; Peak load; Performance prediction; Phase field; Reduced order model; Reduced order models; Stiffness; Structural design; Three dimensional composites; Three dimensional models; Topology optimization
• ISSN: 0021-9991; 1090-2716
• DOI: 10.1016/j.jcp.2022.111274

Fracture resistance design of materials and structures has recently attracted attention, while heavy numerical calculations hindered its development and application. In this work, reduced order model-based phase field method is proposed to accelerate the fracture simulation of composite structures. The reduced order basis is constructed to efficiently approximate the displacement and crack phase fields and enriched adaptively based on its effectiveness. We then extend the reduced order model to the phase field-based topology optimization for maximizing the fracture resistance of the 3D composite structures composed of contrasting soft and stiff phases. During the optimization, morphological structure of the soft phase is tailored under the Mode-I test by taking into account the whole fracture process from damage initiation, multiple crack propagation and ultimately to failure. Numerical result shows that the reduced order-based phase field modeling can achieve significant time speedup, while the accuracy of mechanical performance prediction in terms of stiffness, peak load, and mechanical work is guaranteed. Furthermore, by the reduced order model-based phase field topology optimization, all concerned mechanical properties are enhanced simultaneously compared with three representative interpenetrating phase composites, while the computation cost is greatly alleviated. •3D fracture resistance design on the two-phase composite.•First use of reduced order modeling in phase field-based fracture simulation.•First use of model reduction on 3D fracture resistance optimization.•The computational cost of fracture simulation has been greatly reduced.•The mechanical fracture performance has been significantly improved by the optimization.