书籍详情
新型有限元论：结构工程中的高等有限元方法
作者：龙驭球，岑松，龙志飞 著
出版社：清华大学出版社
出版时间：2009-03-01
ISBN：9787302188896
定价：¥138.00
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内容简介
《新型有限元论：结构工程中的高等有限元方法》是在中文专著《新型有限元沦》（2004年版）的基础上补充了2004年于2008年期间的新成果所撰写的英文专著，是龙驭球院士、岑松博士和龙志飞教授及具研究组多年来在新型有限元方面研究成果的系统论述。全书分为20章。除首尾两章外，其余18章分为3篇：第1篇是变分原理进展，介绍分区和含参变分原理2项成果；它们为构造新型有限元起到理论指导作用。第2篇是有限元法进展初论，重点介绍广义协调元；这是在协调元与非协调元之间另辟的新路，使协调问题和收敛问题得到合理解决，单元构造方案可以灵活优选，学科内容得到充实更新；广义协调元是新型有限元方面的主要成果，在本书中起核心作用。第3篇是有限元法进展续论，补充介绍4项成果，包括分区混合元法、解析试函数法、第一和第二类四边形面积坐标法和样条函数有限元法，在本书中起锦上添花作用。木书还结合7项成果的论述，介绍了总共108个相关的新单元。本书可作为高等学校力学、土木、机械等专业研究生和高年级本科生的教材和参考书，也可供相关领域教师和科技人员参考。
作者简介
Professor Yu－Qiu Long（1926一）is a Full Professor in the Department of Civil Engineering，Tsinghua University，and also a Member of the Chinese Academy of Engineering since 1995.During the past 60 years.he has been recognized as an expert in the areas of structural mechanics.shell structures.finite element method and variational principle.He was the first President of the Chinese Association of Structural Engineering between 1998 and 2003：Council Member Of the Chinese Association of Computational Mechanics from l957 to l990；and Editor-in-Chief of a Chinese iournal，Engineering Mechanics.between 1991 and 1999.He is currently a member of Editorial Boards of many intemational and Chinese ioumals，such as Advances in Structural Engineering （since l 997）.International Journal of Structural Stability and Dynamics（since 200 1），Applied Mathematics and Mechanics（since 1979），and so on.He Published his first book on the finite element method in 1978.which is one of the earliest books on this subject in China and has a broad influence on Chinese readers.DL Song Cen（1 972一）is serving as an Associate Professor in the Department of Engineering Mechanics.School Of Aerospace，一Tsinghua University.He is also the deputy secretary.general of Beijing Society of Mechanics；Executive C：ouncil Member of the International Chinese Association for Computational Mechanics；Invited Council Member of the Chinese Association of Computational Mechanics.His research interests mainly cover finite element method and computational solid mechanics.Dr.Cen is a recipient of some prestigious Prizes for distinguished young Chinese researchers.including Xu Zhi-Lun Prize in Mechanics（2007），New Academic Prize ofTsinghua University（2007），Fok Ying Tung Prize for Young Researchers in Universities（2006），the Nationwide（China） Excellent Doctoral Dissertation Award of Year 2002（supervised by Professor Yu.Qiu Long），and so on.Professor Zhi-Fei Long（1957一）is a professor in the School of Mechanics＆Civil Engineering.China University of Mining&Technology rBeijing）.He is an expert in finite element method and structural mechanics，and has published 4 books and more than 90 Papers in related fields.He won the Science Award of China Ministry of Education（First Class.1993）.for the studies on the generalized energy principles and new finite element models.The textbook titled by New Monograph of Finite Element Method（written by Zhi.Fei Long and Song Cen，published by China Hydraulic and Wlater-power Press in 2001）has produced a broad influence in Chinese universities.
目录
Chapter 1 Introduction--The Evolutive Finite Element Method.
1.1 Brief Review of the Features of Finite Element Method
1.2 Finite Element Method and Variational Principles
1.3 Research Areas of FEM
1.4 Advances in FEM and Outline of This Book
References
PART Ⅰ Advances in Variational Principles
Chapter 2 The Sub-Region Variational Principles
2.1 Introduction
2.2 The Sub-Region Variational Principle for Elasticity
2.3 The Sub-Region Variational Principle for Elastic Thin Plate
2.4 The Sub-Region Variational Principle for Elastic Thick Plate
2.5 The Sub-Region Variational Principle for Elastic Shallow Shell
2.6 The Sub-Region Mixed Energy Partial Derivative Theorem
References
Chapter 3 Variational Principles with Several Adjustable Parameters
3.1 Introduction
3.2 Several Patterns of Functional Transformation
3.3 Generalized Variational Principle Involving Several Adjustable Parameters
3.4 Variable-Substitution-Multiplier Method
References
PART Ⅱ Advances in Finite Element Method-Generalized Conforming Elements
Chapter 4 Generalized Conforming Element Theory
4.1 Introduction
4.2 Conforming and Nonconforming Elements--Some Consideration about "Conforming"
4.3 The First Pattern of Generalized Conforming Element-Replacing Nodal Conforming by Line Conforming Conditions
……
PART Ⅲ Other Advances in Finite Element Method
1.1 Brief Review of the Features of Finite Element Method
1.2 Finite Element Method and Variational Principles
1.3 Research Areas of FEM
1.4 Advances in FEM and Outline of This Book
References
PART Ⅰ Advances in Variational Principles
Chapter 2 The Sub-Region Variational Principles
2.1 Introduction
2.2 The Sub-Region Variational Principle for Elasticity
2.3 The Sub-Region Variational Principle for Elastic Thin Plate
2.4 The Sub-Region Variational Principle for Elastic Thick Plate
2.5 The Sub-Region Variational Principle for Elastic Shallow Shell
2.6 The Sub-Region Mixed Energy Partial Derivative Theorem
References
Chapter 3 Variational Principles with Several Adjustable Parameters
3.1 Introduction
3.2 Several Patterns of Functional Transformation
3.3 Generalized Variational Principle Involving Several Adjustable Parameters
3.4 Variable-Substitution-Multiplier Method
References
PART Ⅱ Advances in Finite Element Method-Generalized Conforming Elements
Chapter 4 Generalized Conforming Element Theory
4.1 Introduction
4.2 Conforming and Nonconforming Elements--Some Consideration about "Conforming"
4.3 The First Pattern of Generalized Conforming Element-Replacing Nodal Conforming by Line Conforming Conditions
……
PART Ⅲ Other Advances in Finite Element Method
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