Model order reduction for fast phase-field fracture simulations

此次合作将开发技术，以加速学术界和工业界对断裂力学模拟的兴趣。通过研究访问和研讨会的组织，PI在数值断裂和模型降阶方法方面的专业知识将与合作伙伴在相场方法方面的领先研究相结合，以解决所涉及的挑战。断裂力学模拟在航空航天、复合材料和汽车等多个行业的材料和结构部件开发中发挥着重要作用。然而，由于所涉及的现象的复杂性，包括复杂的材料行为和与裂纹的形成、扩展和合并相关的拓扑变化，这种模拟的使用往往受到限制。该领域最近的发展产生了新的方法，例如相场模型，它可以非常有效地解决所有相关的挑战，但代价是产生非常大的模型，因此计算成本很高。该项目将利用现有的数值工具开发新方法，通过利用1)局部性质和2)裂缝的渐进演化来减小此类模型的尺寸。

This collaboration will develop techniques to accelerate fracture mechanics simulations of both academic and industrial interest. Through research visits and the organisation of a workshop, the PI's expertise in numerical fracture and model order reduction methods will be combined with the Partner's leading research in phase-field methods to address the challenges involved. Fracture mechanics simulations play an important role in the development of materials and structural components across several industries, such as the aerospace, composites and automotive. However the use of such simulations is often limited due to the complexity of the phenomena involved, which include complex material behaviour and topological changes associated with the formation, propagation and coalescence of cracks. Recent developments in the field have resulted in new approaches, such as phase-field models, that can very effectively tackle all associated challenges, at the cost of producing very large, and therefore computationally expensive models. The project will leverage established numerical tools to develop novel methods to reduce the size of such models by exploiting i) the localised nature and ii) progressive evolution of fracture.