Abstract
An increasing number of areas in the field of fracture mechanics is addressed by the phasefield method for fracture. The fast development and improvement of the method in the last decade led to successful applications in brittle fracture for elastic and inelastic materials, for fracture at impact loads, fatigue, cohesive fracture and many more. However, several fundamental issues, like low convergence rate and consistent irreversibility formulation, require further investigations in order to obtain a powerful tool for general application to fracture mechanics. The manuscript at hand summarises recent developments in phasefield-fracture towards a realistic deformation kinematics at cracks, which yields the framework of Representative Crack Elements.
Peter Wriggers and I have a similar origin and a long lasting connection. Both of us were born in Hamburg. Main parts of our academic education were obtained in Hannover (Diploma, Doctorate, Habilitation) associated with late Prof. Erwin Stein. Over the decades, I have always enjoyed Peter’s stimulating support and steady driving force. Various coinciding scientific interests and activities with respect to computational mechanics like research on constitutive modelling, fracture mechanics, contact mechanics, in order just to name some areas, let to frequent dialogues. Currently, we collaborate within the national Priority Programme “Cyclic deterioration of high-performance concrete in an experimental-virtual lab”. I remember many nice and enjoyable social events in which we participated together associated with scientific activities all over the community. Moreover, strong interaction took place due to our common service to national scientific societies as Gesellschaft für Angewandte Mathematik und Mechanik (GAMM) and German Association for Computational Mechanics (GACM). Peter led both organizations in a dedicated and calm manner. I appreciate very much his company (Michael Kaliske).
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Storm, J., Yin, B., Kaliske, M. (2022). A Novel Approach to Phasefield-Fracture for Inelastic Materials and Finite Deformations. In: Aldakheel, F., Hudobivnik, B., Soleimani, M., Wessels, H., Weißenfels, C., Marino, M. (eds) Current Trends and Open Problems in Computational Mechanics. Springer, Cham. https://doi.org/10.1007/978-3-030-87312-7_49
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