题目：A Break-Through Enhancement of FEM using Node-based Kriging Interpolation
报告人：  W. Kanok-Nukulchai 教授
Professor of Structural Engineering
Dean of School of Engineering and Technology

报告内容摘要：
During the last two decades, a large variety of mesh-free methods have been introduced as superior alternatives to the traditional FEM.  However, the acceptance in professional practices seems to be slow due to their implementation complexities.  Originated from the element-free Galerkin method (EFGM) with moving Kriging interpolation (KI), the author and his co-workers proposed a very convenient implementation of the EFGM.

In this method, the problem domain is subdivided into elements like in the conventional FEM.  The simplest form of elements, i.e. triangle for 2D domain and tetrahedral for 3D domain, is preferred because it is flexible in representing complex geometry and easy to be automatically generated.  The KI is constructed for each element by using a set of nodes in a domain of influence (DOI) composed of several layers of elements. By combining the KI of all elements, the global field variable is thus approximated by piecewise KI.  For evaluating the integration in the Galerkin weak form, the elements are employed as integration cells.  With this way of implementation, the present method can be viewed as an enhancement of the FEM using Kriging shape functions.  Thus, this method is referred to as Kriging-based FEM (K-FEM). 

The K-FEM preserves the following advantages of the mesh-free methods: (1) any requirement for high order shape functions can be easily fulfilled without any change to the element structure, (2) the field variable and its derivatives can be obtained with remarkable accuracy and global smoothness.  A distinctive advantage of the K-FEM over mesh-free methods is that it inherits the computational procedure of FEM so that an existing general-purpose FE program can be easily extended to accommodate the proposed method.  Thus, the proposed method has a higher chance to be accepted in real engineering practices.

主持人：袁明武  教授
时间：10月23日（周四）下午1:00
地点：力学楼434会议室

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联系人：陈璞  62751828

报告人简介：
Worsak Kanok-Nukulchai received his Ph.D. in Structural Engineering and Structural Mechanics from the University of California at Berkeley in 1978 as a Fulbright Scholar. He joined Asian Institute of Technology (AIT) and has been a Professor since 1987. In administration, he has served as the Dean of the School of Civil Engineering during 1998-2004, and is now serving Dean of School of Engineering and Technology.

He has extensive research experiences and published widely in Computational Mechanics for the last 25 years. In 1997 he was admitted as a Royal Scholar as member of the Royal Institute of Thailand. In 1999, he was honored as “National Distinguished Researcher of the Year” by Thailand’s National Research Council. Internationally, he was awarded “Fellow of the International Association of Computational Mechanics (IACM)”

Professor Worsak's research in the early days focused on finite element modeling of large deformation plates and shells, time integration methods, contact and impact problems, nonlinear solution techniques as well as the numerical aspects of dynamic problems. He was also interested in finite element software development especially under personal computer environment. His current interest is given to meshfree methods based on Kriging Interpolation. The use of Kriging Interpolation in conjunction with layered domains of influence helps extend the power of finite element beyond its limits. This results in smooth and very accurate solution for both displacement and stress fields.