Meshless methods in solid mechanics:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY
Springer
2006
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XI, 200 S. Ill., graph. Darst. |
| ISBN: | 0387307362 9780387307367 |
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MARC
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Record in the Search Index
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| adam_text | Contents
Acknowledgments vi
Preface vii
1 Introduction 1
Foundation of Physical Theories 1
Atomistic Modeling and Computation 2
PDE-Based Continuum Modeling and Computation 4
2 Fundamental of Continuum Mechanics 6
Kinematics 6
Basic Laws of Motion 11
Constitutive Theory 16
Thermoviscoelastic Solid and Its Special Cases 20
Problems 24
3 Fundamentals of Finite Element Method 31
Integral Formulation of Continuum Problems 31
Weighted Residual Methods 33
Variational Principle 37
Introduction to Finite Element Method 42
Shape Functions in Finite Element Method 42
Finite Element Formulation 47
Numerical Integration in Finite Element Method 48
Problems 52
4 An Overview on Meshless Methods and Their
Applications 55
Approximation Function 55
Numerical Implementation 60
ix
x Contents
Applications 63
Problems 67
5 Procedures of Meshless Methods 68
Construction of the Approximation 68
Choice of Weight Function 70
Formulation of Meshless Analysis 72
Evaluation of the Integral 74
Treatment of Discontinuity 76
Treatment of Mirror Symmetry 77
H- and P-Refinements 78
Problems 81
6 Meshless Analysis of Elastic Problems 83
Background Theory for Applications of Elastostatics 83
Meshless Analysis of Elastostatic Problems 88
General Dynamic Problems 95
Meshless Analysis of Elastodynamic Problems 101
Meshless Analysis of Multiphase Materials 105
Problems 110
7 Meshless Analysis of Nonlocal Continua 113
Introduction to Nonlocal Theory 113
The Framework of Nonlocal Theory 114
Material Instability and Intrinsic Length 116
Nonlocal Constitutive Relations 116
Formulation of Nonlocal Meshless Method 117
Numerical Examples by Nonlocal Meshless Method 119
Discussions 122
Problems 124
8 Meshless Analysis of Plasticity 125
Constitutive Relations 125
Return Mapping Algorithm 129
Ji Flow Theory 131
Meshless Analysis of High-Speed Impact/Contact Problem 134
Incremental Plasticity and Slow Crack Growth Problem 143
Remarks 151
Problems 151
Appendix A Vectors and Tensors 153
Appendix B Representations of Isotropic Scalar, Vector, and
Tensor Functions (Wang, 1970,1971) 162
Contents xi
Appendix C Classification of Partial Differential Equations 165
Appendix D User s Manual: Meshless Computer Program for
Electrostatics and Electrodynamics 172
Appendix E User s Manual: Meshless Computer Program for
Analysis of Crack Growth in Elastoplastic Continuum.. 179
Bibliography 186
Index 196
|
| any_adam_object | 1 |
| author | Chen, Youping Lee, James D. Eskandarian, Azim |
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| bvnumber | BV024617543 |
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| ctrlnum | (OCoLC)255027020 (DE-599)BVBBV024617543 |
| dewey-full | 531.015182 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531.015182 |
| dewey-search | 531.015182 |
| dewey-sort | 3531.015182 |
| dewey-tens | 530 - Physics |
| discipline | Physik Informatik Mathematik |
| format | Book |
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| isbn | 0387307362 9780387307367 |
| language | English |
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| physical | XI, 200 S. Ill., graph. Darst. |
| publishDate | 2006 |
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| spelling | Chen, Youping Verfasser (DE-588)134197518 aut Meshless methods in solid mechanics Youping Chen, James D. Lee and Azim Eskandarian New York, NY Springer 2006 XI, 200 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Gitterfreie Methode (DE-588)4796173-9 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 s Gitterfreie Methode (DE-588)4796173-9 s DE-604 Lee, James D. Verfasser aut Eskandarian, Azim Verfasser aut text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2705804&prov=M&dok_var=1&dok_ext=htm Inhaltstext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018589749&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chen, Youping Lee, James D. Eskandarian, Azim Meshless methods in solid mechanics Kontinuumsmechanik (DE-588)4032296-8 gnd Gitterfreie Methode (DE-588)4796173-9 gnd |
| subject_GND | (DE-588)4032296-8 (DE-588)4796173-9 |
| title | Meshless methods in solid mechanics |
| title_auth | Meshless methods in solid mechanics |
| title_exact_search | Meshless methods in solid mechanics |
| title_full | Meshless methods in solid mechanics Youping Chen, James D. Lee and Azim Eskandarian |
| title_fullStr | Meshless methods in solid mechanics Youping Chen, James D. Lee and Azim Eskandarian |
| title_full_unstemmed | Meshless methods in solid mechanics Youping Chen, James D. Lee and Azim Eskandarian |
| title_short | Meshless methods in solid mechanics |
| title_sort | meshless methods in solid mechanics |
| topic | Kontinuumsmechanik (DE-588)4032296-8 gnd Gitterfreie Methode (DE-588)4796173-9 gnd |
| topic_facet | Kontinuumsmechanik Gitterfreie Methode |
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