Methods of Fundamental Solutions in Solid Mechanics

Langue : Anglais

Auteurs : Wang Hui, Qin Qing-Hua

Couverture de l’ouvrage Methods of Fundamental Solutions in Solid Mechanics

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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

Engineers and scientists in mechanical engineering, civil engineering, applied mechanics, materials science, computational mechanics, aerospace engineering; research students, and researchers in advanced numerical analysis of solid mechanics and heat transfer in applied mathematics, mechanics, and material engineering.

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

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