Acknowledgments | vi | ||||
Preface | vii | ||||
1 Introduction | 1 | (5) | |||
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1 | (1) | |||
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2 | (2) | |||
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4 | (2) | |||
2 Fundamental of Continuum Mechanics | 6 | (25) | |||
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6 | (5) | |||
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11 | (5) | |||
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16 | (4) | |||
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20 | (4) | |||
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24 | (7) | |||
3 Fundamentals of Finite Element Method | 31 | (24) | |||
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31 | (2) | |||
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33 | (4) | |||
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37 | (5) | |||
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42 | (1) | |||
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42 | (5) | |||
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47 | (1) | |||
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48 | (4) | |||
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52 | (3) | |||
4 An Overview on Meshless Methods and Their Applications | 55 | (13) | |||
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55 | (5) | |||
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60 | (3) | |||
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63 | (4) | |||
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67 | (1) | |||
5 Procedures of Meshless Methods | 68 | (15) | |||
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68 | (2) | |||
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70 | (2) | |||
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72 | (2) | |||
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74 | (2) | |||
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76 | (1) | |||
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77 | (1) | |||
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78 | (3) | |||
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81 | (2) | |||
6 Meshless Analysis of Elastic Problems | 83 | (30) | |||
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83 | (5) | |||
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88 | (7) | |||
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95 | (6) | |||
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101 | (4) | |||
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105 | (5) | |||
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110 | (3) | |||
7 Meshless Analysis of Nonlocal Continua | 113 | (12) | |||
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113 | (1) | |||
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114 | (2) | |||
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116 | (1) | |||
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116 | (1) | |||
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117 | (2) | |||
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119 | (3) | |||
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122 | (2) | |||
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124 | (1) | |||
8 Meshless Analysis of Plasticity | 125 | (28) | |||
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125 | (4) | |||
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129 | (2) | |||
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131 | (3) | |||
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134 | (9) | |||
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143 | (8) | |||
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151 | (1) | |||
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151 | (2) | |||
Appendix A Vectors and Tensors | 153 | (9) | |||
Appendix B Representations of Isotropic Scalar, Vector, and Tensor Functions (Wang, 1970, 1971) | 162 | (3) | |||
Appendix C Classification of Partial Differential Equations | 165 | (7) | |||
Appendix D User's Manual: Meshless Computer Program for Electrostatics and Electrodynamics | 172 | (7) | |||
Appendix E User's Manual: Meshless Computer Program for Analysis of Crack Growth in Elastoplastic Continuum | 179 | (7) | |||
Bibliography | 186 | (10) | |||
Index | 196 |
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