报告题目：Recent developments in brittle fracture modelling using the scaled boundary finite element method
报告人：Carolin Birk教授（杜伊斯堡-埃森大学）
报告时间：2024年11月25日（星期一）14:00-15:00
报告地点：致用楼219
主办单位：力学与工程科学学院动力学与控制研究所
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Fracture phenomena are ubiquitous in several engineering applications. The numerical modelling of fracture and damage is challenging for various reasons. In brittle fracture processes, stress singularities occur at the crack tip, which must be represented accurately in a simulation. Discrete crack propagation modelling requires re-meshing procedures that can be tedious, particularly in 3D. Smeared approaches such as the phase-field method (PFM) lend themselves to modelling of complex fracture phenomena such as crack branching and merging, since they do neither require crack propagation criteria nor procedures to deal with geometry evolution. On the other hand, the PFM is based on a regularization of crack geometry using a small length scale parameter. Resolution of the latter, however necessitates the use of very fine meshes near the crack and thus leads to very high numerical effort in three-dimensional situations. The scaled boundary finite element method (SBFEM) can be used to address the above challenges. It facilitates the formulation of generalized polygon elements that provide great flexibility with respect to meshing. In this talk, recent developments in brittle fracture modelling using SBFEM will be summarized. In the context of discrete fracture modelling, polygon meshes are used in order to limit re-meshing to the region in the vicinity of the crack tip. Here, open polygons are employed near the crack tip, such that stress-singularities are represented semi-analytically. The procedure will be explained for the case of thermally-induced fracture including recent developments for dynamic thermoelastic fracture modelling. In the context of smeared crack propagation modelling, hierarchical meshes are used, which facilitate rapid size transition in fracture zones. An adaptive phase-field modelling approach based on SBFEM will be summarized and applied to three-dimensional problems. Here, novel aspects include the use of an iterative solver that exploits the similarity of cells in a balanced octree mesh.
报告人简介：
Carolin Birk is a Professor of Civil Engineering at the University of Duisburg-Essen, Essen, Germany. She obtained her first academic degree (Diplom-Ingenieur) in Civil Engineering and the degree of Doctor of Engineering from Dresden University of Technology, Germany. Her research focusses on the development of computer models for the design of structures and materials to withstand extreme loading. She has made significant contributions to the development of the scaled boundary finite element method – a semi-analytical approach, which is currently evolving into a general purpose, fully automatic simulation technique.
