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.
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.
1. Overview of meshless methods2. Mechanics of solids and
structures3. Basics of fundamental solutions and radial basis
functions4. Meshless analysis for thin beam bending problems5.
Meshless analysis for thin plate bending problems6. Meshless
analysis for two-dimensional elastic problems7. Meshless analysis
for plane piezoelectric problems8. Meshless analysis for heat
transfer in heterogeneous media
AppendixA. Derivatives of function in terms of radial variable rB.
TransformationsC. Derivatives of approximated particular solutions
in inhomogeneous plane elasticity
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. 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.
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