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2021年数学学院“吉大学子全球胜任力提升计划”研究生系列短课程(13)

发表于: 2021-07-08   点击: 

报告题目:Smoothed Finite Element Methods: Theory and Applications

报 告 人:Eric Li,Teesside University, UK

报告地点:腾讯会议 会议 ID:735 3035 9246

https://meeting.tencent.com/s/2w3Pbp2SpLzK

会议时间:2021/08/16-2021/08/18 15:00-18:00(GMT+08:00) 中国标准时间 - 北京,

校内联系人:徐旭 xuxu@jlu.edu.cn


This short course will give a talk regarding advanced computational methods (smoothed finite element methods) and applications. The following research topics are introduced, such as fundamental aspects of the finite element methods, the ideas and Implementation of the smoothed finite elements methods, advanced numerical methods in solid mechanics, acoustic, acoustic-structure interaction, biomechanics and metamaterials.


 



授课日期

Date of Lecture

课程名称(讲座题目)

Name (Title) of Lecture

授课时间

Duration (Beijing Time)

参与人数

Number of Participants

2021.08.16

Introduction to Finite Element Method

15:30-16:30

15-20

2021.08.16

Theory of smoothed finite element method (I)

16:30-17:30

15-20

2021.08.17

Theory of smoothed finite element method (II)

15:30-16:30

15-20

2021.08.17

Smoothed finite element method in acoustic

16:30-17:30

15-20

2021.08.18

Smoothed finite element method in acoustic   structure interaction

15:30-16:30

15-20

2021.08.18

Smoothed finite element method in biomechanics and metamaterials

16:30-17:30

15-20











 


Lecture 1: Finite element methods

Backgrounds and applications; interpolation method; solution bound; stiffness matrix; the finite element subdivision; shape functions; strain; stress; strain energy; mesh issues

Lecture 2: Smoothed finite element methods (I)

Smoothed technique; point interpolation method; smoothed domain; smoothed strain; background triangular sub-domains; variational formulation

Lecture 3: Smoothed finite element methods (II)

Solution bound; lower bound; upper bound; super-convergence; optimal convergence rate; softened effect; volumetric locking; exact solution

Lecture 4: Smoothed finite element method in acoustic

Frequency; dispersion error; convergence rate; edge-based smoothed finite element methods; node-based smoothed finite element methods; hybrid smoothed finite element method

Lecture 5: Smoothed finite element method in acoustic structure interaction

Interaction of the acoustic-structure interaction model; mass-redistributed; explicit time integration; stability; flexible integration

Lecture 6: Smoothed finite element method in biomechanics and metamaterials

Bioheat transfer in the human eye; Phase change in the cryosurgery; dental implant; inverse problem; metamaterials


报告人简介:Dr. Eric Li is a Senior Lecturer at Teesside University. Dr. Li obtained his PhD in National University of Singapore (NUS) in 2012. After his PhD, Dr. Li has spent over five year’s research in NUS, The University of Sydney and The Chinese University of Hong Kong. Currently, Dr. Li is an associate editor/editor board for three SCI indexed journals in recognizing his excellent scientific achievements and research leadership. Dr. Li is a Chartered Engineer, and he achieved the status of Fellow of Higher Education Academy (FHEA) in 2020. Dr. Li’s research is focused on computational mechanics, including multi-scale modelling of advanced engineering materials and structures, artificial intelligence, additive manufacturing, biomechanics, topology optimization, acoustic analysis, development of novel numerical methods in fluid dynamics and solid mechanics, and structural health monitoring (SHM). Dr. Li is the author of over 90 peer-reviewed journal publications. Dr. Li received two prestigious Best Paper Awards in ICCM 2015 Auckland and ICCM 2014 Cambridge respectively. In 2019, Dr. Li received two prestigious awards including ICCM International Young Investigator and APACM Award for Young Investigators in Computational Mechanics based on his achievements in published papers. In 2021, Dr. Li is a finalist for outstanding teaching award (only three people) at Teesside University.