7 Chapter 7Figure 7.1 Notation.Figure 7.2 (a) Problem definition. (b) Bending moment diagram.Figure 7.3 The first four
shape functions in one dimension.Figure 7.4 Problem definition for Exercise 7.8.Figure 7.5 Problem definition for Exercise 7.9.Figure 7.6 Sign convention for stress resultants.Figure 7.7 Transformation of stress resultants.Figure 7.8 Example 7.2: (a) Definition of the domain and 28 element mesh. Th...Figure 7.9 The rhombic plate problem, Exercise 7.17.Figure 7.10 Exercise 7.19. Equilateral triangle and rhombic plate. Notation...Figure 7.11 Infinite strip. Notation.Figure 7.12 Example 7.3. Contours of the third principal stress (MPa),
pro...Figure 7.13 Example 7.5. The 20th eigenfunctions for (a)
m and (b)
m.Figure 7.14 Hyperboloidal shell.
8 Chapter 8Figure 8.1 RVEs for unidirectional laminae: (a) hexagonal and (b) rectangula...Figure 8.2 Solution domain consisting of 27 RVEs (864 finite elements).Figure 8.3 (a) Solution domain consisting of 8 RVEs (128 finite elements). (...Figure 8.4 Example. Equivalent strain in the matrix computed in the region o...
9 Chapter 9Figure 9.1 Notation.Figure 9.2 Elastic strip bent into a cylinder.Figure 9.3 The 20th modes of vibration of the elastic strip in Example 9.4. ...Figure 9.4 The first buckling modes of the cylindrical shell in Example 9.5....Figure 9.5 Typical uniaxial stress‐strain curve. Figure 9.6 Example 9.6. The force‐displacement relationship and the plastic ...Figure 9.7 Example 9.7: (a) The domain and the initial finite element mesh. ...Figure 9.8 Example: Contact problem in 1D. Notation.Figure 9.9 Example 9.9: Gap element with partial penetration.Figure 9.10 Axisymmetric model of two elastic spheres in frictionless contac...Figure 9.11 Contact pressure.
10 Appendix BFigure B.1 The error
.
11 Appendix CFigure C.1 Fichera domain, elasticity. Convergence paths on uniform meshes....
12 Appendix DFigure D.1 The first eight shape functions based on Legendre polynomials.
13 Appendix FFigure F.1 The function yp on the optimal nodal set for
.Figure F.2 Optimal interpolation points for the standard triangle,
.
14 Appendix GFigure G.1 The function
on the interval
.
15 Appendix HFigure H.1 Notation.
16 Appendix IFigure I.1 Notched test specimens of type #3 and #6.Figure I.2 S‐N Data for 24S‐T3 (2024‐T3) aluminum alloy.Figure I.3 Bilinear S‐N curve for 24S‐T3 aluminum alloy.Figure I.4 MMPDS Fatigue limit model, S‐N curve for 24S‐T3 aluminum alloy.Figure I.5 Random fatigue limit model: S‐N data for 24S‐T3 aluminum alloy.Figure I.6 Empirical CDF of the S‐N data compared with the median predicted ...Figure I.7 Marginal cumulative distribution functions of the random fatigue ...Figure I.8 Profile likelihood and estimated confidence interval for μf ....
17 Appendix JFigure J.1 Notation.
18 Appendix KFigure K.1 Notation.Figure K.2 Coordinate transformation. Notation.Figure K.3 Statically equivalent forces and moments. Notation.Figure K.4 Example K.2: Segment of a coil spring.Figure K.5 Notation.
1 Cover
2 Table of Contents
3 Begin Reading
1 ii
2 iii
3 iv
4 xi
5 xii
6 xiii
7 xiv
8 xv
9 xvii
10 1
11 2
12 3
13 4
14 5
15 6
16 7
17 8
18 9
19 10
20 11
21 12
22 13
23 14
24 15
25 16
26 17
27 18
28 19
29 20
30 21
31 22
32 23
33 24
34 25
35 26
36 27
37 28
38 29
39 30
40 31
41 32
42 33
43 34
44 35
45 36
46 37
47 38
48 39
49 40
50 41
51 42
52 43
53 44
54 45
55 46
56 47
57 48
58 49
59 50
60 51
61 52
62 53
63 54
64 55
65 56
66 57
67 58
68 59
69 60
70 61
71 62
72 63
73 64
74 65
75 66
76 67
77 68
78 69
79 70
80 71
81 72
82 73
83 74
84 75
85 76
86 77
87 78
88 79
89 80
90 81
91 82
92 83
93 84
94 85
95 86
96 87
97 88
98 89
99 91
100 92
101 93
102 94
103 95
104 96
105 97
106 98
107 99
108 100
109 101
110 102
111 103
112 104
113 105
114 106
115 107
116 108
117 109
118 110
119 111
120 112
121 113
122 114
123 115
124 116
125 117
126 119
127 120
128 121
129 122
130 123
131 124
132 125
133 126
134 127
135 128
136 129
137 130
138 131
139 132
140 133
141 134
142 135
143 136
144 137
145 138
146 139
147 140
148 141
149 142
150 143
151 144
152 145
153 146
154 147
155 148
156 149
157 150
158 151
159 152
160 153
161 155
162 156
163 157
164 158
165 159
166 160
167 161
168 162
169 163
170 164
171 165
172 166
173 167
174 168
175 169
176 170
177 171
178 172
179 173
180 174
181 175
182 176
183 177
184 178
185 179
186 180
187 181
188 182
189 183
190 184
191 185
192 186
193 187
194 188
195 189
196 190
197 191
198 192
199 193
200 194
201 195
202 196
203 197
204 198
205 199
206 200
207 201
208 202
209 203
210 204
211 205
212 206
213 207
214 208
215 209
216 210
217 211
218 212
219 213
220 214
221 215
222 216
223 217
224 218
225 219
226 220
227 221
228 223
229 224
230 225
231 226
232 227
233 228
234 229
235 230
236 231
237 232
238 233
239 234
240 235
241 236
242 237
243 238
244 239
245 240
246 241
247 242
248 243
249 244
250 245
251 246
252 247
253 248
254 249
255 250
Читать дальше