- 报告题目：Smoothed Finite Element Methods and Applications
- 报 告 人：刘桂荣 教授
- 主 持 人：王记增 教授
Dr. Liu received PhD from Tohoku University, Japan in 1991. He was a PDF at Northwestern University, USA from 1991-1993, a professor at the National University of Singapore from 193-2010. He is currently a Professor, Associate Department Head, and Undergraduate Program Director at the Department of Aerospace Engineering and Engineering Mechanics, University of Cincinnati, USA. He is the founder President and Honorary of the Association for Computational Mechanics (Singapore) (SACM). He served as the President of the Asia-Pacific Association for Computational Mechanics (APACM), and is currently an Executive Council Member of both the APACM and the International Association for Computational Mechanics (IACM).
He authored a large number of journal papers and books including two bestsellers: “Mesh Free Method: moving beyond the finite element method” and “Smoothed Particle Hydrodynamics: a Meshfree Particle Methods.” He is the Editor-in-Chief of the International Journal of Computational Methods, and was Associate Editor of IPSE and MANO. He is the recipient of numerous awards, including the Singapore Defence Technology Prize, NUS Outstanding University Researcher Award and Best Teacher Award, APACM Computational Mechanics Awards, JSME Computational Mechanics Awards, ASME Ted Belytschko Applied Mechanics Award, Zienkiewicz Medal from APACM, the AJCM Computational Mechanics Award, and the Humboldt Research Award. He is listed as a world top 1% most influential scientist (Highly Cited Researchers) by Thomson Reuters in 2014-2016, 2018, 2019. ISI citations by others:~20800. ISI H-index:~82; Google Scholar H-Index: 108.
This talk provides an overview of computational methods that are physic-law for the analysis of engineering systems, with a focus on the Smoothed Finite Element Methods (S-FEM). The general formulations of meshfree and element-based methods will be briefed using strong, week and weakened weak (W2) formulations. Studies on the comparisons of W2 formulations with the strong and weak formulations will be presented. We will present a family of W2 models known as S-FEM developed in the recent years. Properties of this class of methods important for automation in computation will be discussed including, spatial and temporal stability and convergence, softening effects induced by various types of smoothing domains, upper bound properties leading to certified solutions, and insensitivity to the quality of mesh allowing effective uses of triangular/tetrahedral meshes, which are best suited for adaptive analyses. For fluid flow problems, the gradient smoothing methods (GSM) will be briefly introduced. Application examples will also be presented for simulating behavior of various biological, including red-blood cells, blood flows in micro-veins, bone tissue heeling process, bone remodeling, flying birds, etc.