Methods of Fundamental Solutions in Solid Mechanics

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.

• Explains foundational concepts for the method of fundamental solutions (MFS) for the advanced numerical analysis of solid mechanics and heat transfer
• Extends the application of the MFS for use with complex problems
• Considers the majority of engineering problems, including beam bending, plate bending, elasticity, piezoelectricity and heat transfer
• Gives detailed solution procedures for engineering problems
• Offers a practical guide, complete with engineering examples, for the application of the MFS to real-world physical and engineering challenges

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.