Meshless Methods in Solid Mechanics
(Sprache: Englisch)
This book covers the fundamentals of continuum mechanics, the integral formulation methods of continuum problems, the basic concepts of finite element methods, and the required methodologies, formulations, procedures, and applications. An included disc...
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Produktinformationen zu „Meshless Methods in Solid Mechanics “
This book covers the fundamentals of continuum mechanics, the integral formulation methods of continuum problems, the basic concepts of finite element methods, and the required methodologies, formulations, procedures, and applications. An included disc provides programs for elastostatics and elastodynamics.
Klappentext zu „Meshless Methods in Solid Mechanics “
This book covers the fundamentals of continuum mechanics, the integral formulation methods of continuum problems, the basic concepts of finite element methods, and the methodologies, formulations, procedures, and applications of various meshless methods. It also provides general and detailed procedures of meshless analysis on elastostatics, elastodynamics, non-local continuum mechanics and plasticity with a large number of numerical examples. Some basic and important mathematical methods are included in the Appendixes. For readers who want to gain knowledge through hands-on experience, the meshless programs for elastostatics and elastodynamics are provided on an included disc.
This book is dedicated to the understanding of physical and mathematical characteristics of computational solid mechanics by meshless methods. The book reviews and introduces theories, principles, procedures, and formulations that lead to meshless or mesh free methods. It is completely thorough in all derivations. It covers various meshless methods methodologies, provides detailed procedures of meshless analysis of various continuum/solid mechanics problems, including elastostatics, elastodynamics, fracture mechanics, non-local phenomena and plasticity with a large number of numerical examples. The fundamental formulations of continuum mechanics and the finite element methods are also provided in two separate initial chapters to set the stage for the introduction of meshless methods. The inclusion of the chapter in finite element methods (FEM) also provides a ready reference for comparisons, similarities and differences with meshless methods.
There are numerous excellent references for finite element methods, and the chapter in this book is by no means a claim for thorough coverage of the FE techniques. The inclusion of the chapter on this topic is due to the encompassing prominence of FE methods in computational solid mechanics. The chapter is intended solely for the method's relevance, contributions, comparisons, and potentials for integration (combination) with meshless methods.
The book includes a complete bibliography, ten chapters with several numerical examples, figures, and plots describing computational results, end of chapter exercises/problems in selected sections, and Appendices which provide some fundamental and relevant mathematics required for the reader.
A Solutions Manual is available to Instructors. Computer programs for meshless methods covering elastostatics and elastodynamics are introduced in the book and included in an accompanying disc. A complete set of PowerPoint presentations for all chapters are also available as instructional aid.
There are numerous excellent references for finite element methods, and the chapter in this book is by no means a claim for thorough coverage of the FE techniques. The inclusion of the chapter on this topic is due to the encompassing prominence of FE methods in computational solid mechanics. The chapter is intended solely for the method's relevance, contributions, comparisons, and potentials for integration (combination) with meshless methods.
The book includes a complete bibliography, ten chapters with several numerical examples, figures, and plots describing computational results, end of chapter exercises/problems in selected sections, and Appendices which provide some fundamental and relevant mathematics required for the reader.
A Solutions Manual is available to Instructors. Computer programs for meshless methods covering elastostatics and elastodynamics are introduced in the book and included in an accompanying disc. A complete set of PowerPoint presentations for all chapters are also available as instructional aid.
Inhaltsverzeichnis zu „Meshless Methods in Solid Mechanics “
- Fundamentals of Continuum Mechanics- Integral Formulation of Continuum Problems
- Basic Concepts of Finite Element Methods
- An Overview of Meshless Methods
- Procedures of Meshless Analysis
- Meshless Analysis of Elastostatics
- Meshless Analysis of Elastodynamics
- Meshless Analysis of Nonlocal Continua
- Meshless Analysis of Plasticity
- Appendix A Vector and Tensor
- Appendix B Representations of Isotropic Scalar, Vector and Tensor Functions
- Appendix C Classification of Partial Differential Equations
- Appendix D Summary of the Procedures of Direct Integration Methods
- Appendix E User's Manual of Meshless Programs
- Bibliography
- Index
Autoren-Porträt von Youping Chen, James Lee, Azim Eskandarian
Professor James D. Lee earned his Ph.D from Princeton University in 1971 and has been teaching and/or doing research in universities (Purdue U., West Virginia U., U. of Akron, U. of Minnesota and GWU), industry (The General Tire and Rubber Company), and US government laboratories (NIST and NASA). His research has included liquid crystals, fracture mechanics, composite materials, numerical analyses, control, robotics, metal forming process, finite element methods, meshless methods, atomistic and micro-continuum physics. He has directed eight doctoral dissertations and several master theses, and has published more than 100 technical papers including 50 referred journal articles. He is a registered Professional Engineer in Washington, DC and a member of ASME, American Academy of Mechanics, New York Academy of Science, and Sigma Xi.Dr. Youping Chen is a senior research scientist at the School of Engineering and Applied Science of GWU. She is currently contributing to two major research centers within GWU: The Center for Intelligent Systems Research in smart materials and the FHWA/NHTSA National Crash Analysis Center in computational mechanics. She has over 13 years of experience in engineering mechanics and structural dynamics. Her research experience includes modeling and simulating high-speed railway system, thermoplastic analysis of high-speed impact, meshless methods, atomistic physics and continuum mechanics. She has been conducting advanced research at NCAC on meshless and optimization methods for structures under impact loading. Dr. Chen is currently extending the atomistic physics and continuum mechanics theory in modeling of electromechanical and smart materials. She received a M.S. degree in Engineering Mechanics from Huazhong University of Science and Technology, China in 1991 and D.Sc. degree in Mechanical Engineering from The George Washington University in 2002.
Professor Azim Eskandarian was the co-founder (in 1992) and the Director of the
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FHWA/NHTSA National Crash Analysis Center from 1998-2003, where he conducted extensive research in impact dynamics for crashworthiness of structures/materials. He has conducted research in optimization of structures under impact. This research required exploring meshless methods as a better alternative to non-linear explicit dynamic finite element methods due to reshaping of the structures, contact algorithms, and various complexities of impact phenomena. This research is continuing and has lead to the development of draft manuscript for the proposed book addressing the advantages and critical issues of meshless methods in Solid mechanics. Prof. Eskandarian has twenty-one years of experience in engineering R&D, six years in industry and fifteen years in academia. Dr. Eskandarian is the founding Director of the Center for Intelligent Systems Research which focuses in smart materials/systems and intelligent methods in transportation and automotive applications. He has been Principal Investigator and Co-principal Investigator of over $18.6 million of sponsored research anddirected research groups of more than fifty, including faculty, staff, and students. He has published over 100 technical journal and conference papers. He is a member of ASME, ASCE, SAE, Sigma Xi, Tau Beta Pi, Pi Tau Sigma, and serves on several professional committees. Prof. Eskandarian earned his doctoral and Masters and bachleros degrees in Mechanical engineering in 1991, 1983, and 1982 from George Washington University (Washington, DC), Virginia Polytechnique Institute and State University (Blacksburg , VA) and GWU, respectively.
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Bibliographische Angaben
- Autoren: Youping Chen , James Lee , Azim Eskandarian
- 2006, 200 Seiten, Maße: 16,4 x 24,2 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387307362
- ISBN-13: 9780387307367
Sprache:
Englisch
Rezension zu „Meshless Methods in Solid Mechanics “
From the reviews:"The book can be considered as a textbook for graduate courses on numerical analysis in solid mechanics. It can also be used as a reference book for engineers and scientists who explore the physical world through computer simulations." (Ján Sládek, Zentralblatt MATH, Vol. 1106 (8), 2007)
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