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数学学院、所2021年系列学术活动(第7场):黄维章 教授 美国堪萨斯大学

发表于: 2021-01-13   点击: 

报告题目:Phase-field modeling of brittle fracture and its moving mesh finite element computation

报 告 人:Weizhang Huang, Professor, the University of Kansas

报告时间:2021120 10:00-11:00 (北京时间)

报告平台:Zoom 会议号: 941 567 2172  密码: 2021

校内联系人:王翔 wxjldx@jlu.edu.cn


报告摘要:Brittle fracture is the cracking of a metallic object or other elastic material under stress where the material exhibits little or no evidence of plastic deformation before the fracture occurs. It usually occurs rapidly and can be catastrophic in engineering practice. Understanding the initiation and propagation of brittle fracture is vital to the prevention of fracture failure in engineering design, however its mathematical modeling has been challenging due to the discontinuity nature of cracking. In recent years the phase-field mathematical modeling of brittle fracture has gained considerable attention, where a phase-field function is introduced to characterize the damage level of the material, cracks are represented as sharp but continuous layers, and the total free energy is modified to involve cracking effects. In this talk, I will discuss some of the mathematical and computational challenges with the phase-field modeling of brittle fracture. We will also present an adaptive moving mesh finite element method for the numerical solution of the model and numerical results obtained with the method.


报告人简介:Dr. Huang is professor and chairperson of the Department of Mathematics, the University of Kansas. He received his PhD from Institute of Applied Mathematics, Chinese Academy of Sciences in 1989. His research interest is in numerical analysis and scientific computing with emphasis on the numerical solution of partial differential equations. His research topics include mesh movement, mesh adaptation, anisotropic mesh generation and analysis, high order methods (collocation, spectral, and discontinuous Galerkin), geometric integration methods, and applications.  He has 100+ publications including a Springer monograph on Adaptive Moving Mesh Methods and articles in 《Science in China (Series A)》,《Acta Numerica》,《SIAM Journal on Numerical Analysis》, 《SIAM Journal on Scientific Computing》, 《Mathematics of Computation》, 《Journal of Computational Physics》, and《Numerische Mathematik》.