Methods of Fundamental Solutions in Solid Mechanics presents the fundamentals of continuum mechanics, the foundational concepts of the MFS, and methodologies and applications to various engineering problems. Eight chapters give an overview of meshless methods, the mechanics of solids and structures, the basics of fundamental solutions and radical basis functions, meshless analysis for thin beam bending, thin plate bending, two-dimensional elastic, plane piezoelectric problems, and heat transfer in heterogeneous media. The book presents a working knowledge of the MFS that is aimed at solving real-world engineering problems through an understanding of the physical and mathematical characteristics of the MFS and its applications.
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Table of Contents
1. Overview of meshless methods 2. Mechanics of solids and structures 3. Basics of fundamental solutions and radial basis functions 4. Meshless analysis for thin beam bending problems 5. Meshless analysis for thin plate bending problems 6. Meshless analysis for two-dimensional elastic problems 7. Meshless analysis for plane piezoelectric problems 8. Meshless analysis for heat transfer in heterogeneous media
Appendix A. Derivatives of function in terms of radial variable r B. Transformations C. Derivatives of approximated particular solutions in inhomogeneous plane elasticity
Authors
Hui Wang Professor, Department of Engineering Mechanics, Henan University of Technology, Zhengzhou, China. Dr. HUI WANG was born in Luoyang City of China in 1976. He received his Bachelor degree in Theoretical and Applied Mechanics from Lanzhou University, China in 1999. Subsequently he joined the College of Science as an assistant lecturer at Zhongyuan University of Technology (ZYUT) and spent two years teaching at ZYUT. He earned his Master degree from Dalian University of Technology in 2004 and Doctoral degree from Tianjin University in 2007, both of which are in Solid Mechanics. Since 2007, he has worked at College of Civil Engineering and Architecture, Henan University of Technology as a lecturer. He was promoted to Associate Professor in 2009 and Professor in 2015. From August 2014 to August 2015, he worked at Australian National University (ANU) as a visiting scholar, and then from February 2016 to February 2017, he joined the ANU as a Research Fellow.His research interests include computational mechanics, meshless methods, hybrid finite element method and mechanics of composites. So far, he has authored three academic books by CRC Press and Tsinghua University Press respectively, 7 book chapters and 62 academic journal papers (47 indexed by SCI and 8 indexed by EI). In 2010, He was awarded the Australia Endeavour Award. Qing-Hua Qin Professor, Department of Engineering,
Shenzhen MSU-BIT University, China
International University Park Road, Longgang, Shenzhen, Guangdong. Dr. Qinghua Qin received his Bachelor of Engineering degree (1982) in Mechanical Engineering from Chang An University, China and obtained his Master of Science degree (1984) and PhD (1990) in applied mechanics from Huazhong University of Science and Technology (HUST), China. He joined the faculty of the Department of Mechanics at HUST from 1984 until he left for the University of Stuttgart (Germany) with the DAAD/K.C. Wong research fellowship in 1994. From 1995 to 1997, he returned to China as a postdoctoral associate at Tsinghua University.
He was awarded the Queen Elizabeth II Fellowship from the Australian Research Council (ARC) in 1997 and a Professorial Fellowship of ARC in 2002 at The University of Sydney, Australia and stayed there till December 2003. He has been a Professor at the Research School of Engineering of the Australian National University, Australia from 2004 to 2021. He is now working at the Department of Engineering, Shenzhen MSU-BIT University, China. He is also appointed a guest professor at HUST since 2000 and Tianjin University since 2006.
