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- Page 5: The Finite ElementMethodFifth editi
- Page 8 and 9: ContentsPrefacexv1. Some preliminar
- Page 10 and 11: Contentsix7.7 Concluding remarks 16
- Page 12 and 13: Contentsxi12.7 Stabilized methods f
- Page 15: Volume 2: Solid and structural mech
- Page 19 and 20: 2 Some preliminaries: the standard
- Page 21 and 22: 4 Some preliminaries: the standard
- Page 23 and 24: 6 Some preliminaries: the standard
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- Page 35 and 36: 2A direct approach to problemsin el
- Page 37 and 38: 20 A direct approach to problems in
- Page 39 and 40: 22 A direct approach to problems in
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- Page 57 and 58: 40 Generalization of the ®nite ele
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50 Generalization of the ®nite ele
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52 Generalization of the ®nite ele
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54 Generalization of the ®nite ele
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56 Generalization of the ®nite ele
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58 Generalization of the ®nite ele
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60 Generalization of the ®nite ele
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62 Generalization of the ®nite ele
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64 Generalization of the ®nite ele
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66 Generalization of the ®nite ele
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68 Generalization of the ®nite ele
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70 Generalization of the ®nite ele
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72 Generalization of the ®nite ele
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74 Generalization of the ®nite ele
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76 Generalization of the ®nite ele
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78 Generalization of the ®nite ele
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80 Generalization of the ®nite ele
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82 Generalization of the ®nite ele
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84 Generalization of the ®nite ele
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86 Generalization of the ®nite ele
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88 Plane stress and plane strainymv
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90 Plane stress and plane strainSub
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92 Plane stress and plane strainyzx
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94 Plane stress and plane strainfro
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96 Plane stress and plane strainAga
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98 Plane stress and plane strain®n
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100 Plane stress and plane strainy
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102 Plane stress and plane strain4.
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104 Plane stress and plane strainBu
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106 Plane stress and plane strainEq
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Fig. 4.14 An underground power stat
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110 Plane stress and plane strainA
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5Axisymmetric stress analysis5.1 In
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114 Axisymmetric stress analysis5.2
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116 Axisymmetric stress analysiszrF
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118 Axisymmetric stress analysisIn
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120 Axisymmetric stress analysis2.0
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122 Axisymmetric stress analysis100
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124 Axisymmetric stress analysis5.4
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126 Axisymmetric stress analysisRef
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128 Three-dimensional stress analys
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130 Three-dimensional stress analys
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132 Three-dimensional stress analys
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134 Three-dimensional stress analys
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Computed valueExact value45 tonsSec
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138 Three-dimensional stress analys
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7Steady-state ®eld problems ± hea
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142 Steady-state ®eld problemswhic
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144 Steady-state ®eld problemswith
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146 Steady-state ®eld problemsymsL
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148 Steady-state ®eld problems2042
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H = 100H = 094.093.694.2 93.7 94.48
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C L0 0 0 0 0 0152 Steady-state ®el
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154 Steady-state ®eld problemsφ =
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156 Steady-state ®eld problemsFig.
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158 Steady-state ®eld problemsElem
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160 Steady-state ®eld problemsand
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162 Steady-state ®eld problems8. J
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8`Standard' and `hierarchical'eleme
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166 `Standard' and `hierarchical' e
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168 `Standard' and `hierarchical' e
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170 `Standard' and `hierarchical' e
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172 `Standard' and `hierarchical' e
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174 `Standard' and `hierarchical' e
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176 `Standard' and `hierarchical' e
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178 `Standard' and `hierarchical' e
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180 `Standard' and `hierarchical' e
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182 `Standard' and `hierarchical' e
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184 `Standard' and `hierarchical' e
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186 `Standard' and `hierarchical' e
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188 `Standard' and `hierarchical' e
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190 `Standard' and `hierarchical' e
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192 `Standard' and `hierarchical' e
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194 `Standard' and `hierarchical' e
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196 `Standard' and `hierarchical' e
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198 `Standard' and `hierarchical' e
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9Mapped elements and numericalinteg
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yη = 1 ξ = 1ηη = 1ζηζξξη
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204 Mapped elements and numerical i
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206 Mapped elements and numerical i
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208 Mapped elements and numerical i
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210 Mapped elements and numerical i
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212 Mapped elements and numerical i
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214 Mapped elements and numerical i
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216 Mapped elements and numerical i
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218 Mapped elements and numerical i
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220 Mapped elements and numerical i
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222 Mapped elements and numerical i
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224 Mapped elements and numerical i
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226 Mapped elements and numerical i
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228 Mapped elements and numerical i
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230 Mapped elements and numerical i
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232 Mapped elements and numerical i
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234 Mapped elements and numerical i
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236 Mapped elements and numerical i
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238 Mapped elements and numerical i
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1010zyσ z(r = 0)0-10 0lb/in 24030l
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242 Mapped elements and numerical i
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244 Mapped elements and numerical i
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246 Mapped elements and numerical i
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248 Mapped elements and numerical i
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10The patch test, reduced integrati
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252 The patch test, reduced integra
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254 The patch test, reduced integra
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256 The patch test, reduced integra
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258 The patch test, reduced integra
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260 The patch test, reduced integra
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262 The patch test, reduced integra
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264 The patch test, reduced integra
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266 The patch test, reduced integra
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268 The patch test, reduced integra
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270 The patch test, reduced integra
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272 The patch test, reduced integra
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274 The patch test, reduced integra
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11Mixed formulation and constraints
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278 Mixed formulation and constrain
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280 Mixed formulation and constrain
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282 Mixed formulation and constrain
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284 Mixed formulation and constrain
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286 Mixed formulation and constrain
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288 Mixed formulation and constrain
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290 Mixed formulation and constrain
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292 Mixed formulation and constrain
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294 Mixed formulation and constrain
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296 Mixed formulation and constrain
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298 Mixed formulation and constrain
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300 Mixed formulation and constrain
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302 Mixed formulation and constrain
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304 Mixed formulation and constrain
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306 Mixed formulation and constrain
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308 Incompressible materials, mixed
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310 Incompressible materials, mixed
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312 Incompressible materials, mixed
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314 Incompressible materials, mixed
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316 Incompressible materials, mixed
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318 Incompressible materials, mixed
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320 Incompressible materials, mixed
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322 Incompressible materials, mixed
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324 Incompressible materials, mixed
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326 Incompressible materials, mixed
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328 Incompressible materials, mixed
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330 Incompressible materials, mixed
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332 Incompressible materials, mixed
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334 Incompressible materials, mixed
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336 Incompressible materials, mixed
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338 Incompressible materials, mixed
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340 Incompressible materials, mixed
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342 Incompressible materials, mixed
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344 Incompressible materials, mixed
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13Mixed formulation and constraints
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348 Mixed formulation and constrain
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350 Mixed formulation and constrain
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352 Mixed formulation and constrain
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354 Mixed formulation and constrain
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356 Mixed formulation and constrain
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358 Mixed formulation and constrain
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360 Mixed formulation and constrain
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362 Mixed formulation and constrain
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364 Mixed formulation and constrain
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366 Errors, recovery processes and
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5000300020001000500300200100NDF400.
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370 Errors, recovery processes and
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372 Errors, recovery processes and
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374 Errors, recovery processes and
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376 Errors, recovery processes and
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Nodal values determinedfrom the pat
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380 Errors, recovery processes and
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382 Errors, recovery processes and
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384 Errors, recovery processes and
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386 Errors, recovery processes and
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388 Errors, recovery processes and
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390 Errors, recovery processes and
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392 Errors, recovery processes and
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394 Errors, recovery processes and
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396 Errors, recovery processes and
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398 Errors, recovery processes and
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400 Errors, recovery processes and
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402 Adaptive ®nite element re®nem
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404 Adaptive ®nite element re®nem
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406 Adaptive ®nite element re®nem
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408 Adaptive ®nite element re®nem
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410 Adaptive ®nite element re®nem
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412 Adaptive ®nite element re®nem
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414 Adaptive ®nite element re®nem
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416 Adaptive ®nite element re®nem
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418 Adaptive ®nite element re®nem
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420 Adaptive ®nite element re®nem
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422 Adaptive ®nite element re®nem
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424 Adaptive ®nite element re®nem
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426 Adaptive ®nite element re®nem
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428 Adaptive ®nite element re®nem
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430 Point-based approximations(a)(b
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432 Point-based approximations®t a
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434 Point-based approximations86u v
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436 Point-based approximations1.00.
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438 Point-based approximationsdisco
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440 Point-based approximationsx1.5u
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442 Point-based approximationsappro
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444 Point-based approximationsatten
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446 Point-based approximationsThus,
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448 Point-based approximations15105
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450 Point-based approximationsCollo
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452 Point-based approximationsCollo
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454 Point-based approximationsprese
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456 Point-based approximationsGaler
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458 Point-based approximations2. Ha
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460 Point-based approximationsrelat
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462 Point-based approximations(a) 2
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464 Point-based approximationsby Eq
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466 Point-based approximationspoint
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17The time dimension ± semidiscret
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470 The time dimension ± semi-disc
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472 The time dimension ± semi-disc
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474 The time dimension ± semi-disc
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476 The time dimension ± semi-disc
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478 The time dimension ± semi-disc
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480 The time dimension ± semi-disc
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482 The time dimension ± semi-disc
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484 The time dimension ± semi-disc
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486 The time dimension ± semi-disc
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488 The time dimension ± semi-disc
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490 The time dimension ± semi-disc
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492 The time dimension ± semi-disc
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494 The time dimension ± discrete
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496 The time dimension ± discrete
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498 The time dimension ± discrete
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500 The time dimension ± discrete
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502 The time dimension ± discrete
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504 The time dimension ± discrete
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506 The time dimension ± discrete
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508 The time dimension ± discrete
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510 The time dimension ± discrete
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512 The time dimension ± discrete
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514 The time dimension ± discrete
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516 The time dimension ± discrete
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518 The time dimension ± discrete
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520 The time dimension ± discrete
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522 The time dimension ± discrete
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a n - p +1a n - 1a na n +1t∆t∆t
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526 The time dimension ± discrete
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528 The time dimension ± discrete
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530 The time dimension ± discrete
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532 The time dimension ± discrete
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534 The time dimension ± discrete
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536 The time dimension ± discrete
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538 The time dimension ± discrete
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540 The time dimension ± discrete
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19Coupled systems19.1 Coupled probl
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544 Coupled systemsImposed position
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546 Coupled systemsIn such problems
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548 Coupled systemsand on eliminati
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550 Coupled systemsThe discrete str
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552 Coupled systemsMode 1Frequency:
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554 Coupled systemstedious. Neverth
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556 Coupled systems19.2.7 Special c
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558 Coupled systemsFrom the momentu
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560 Coupled systems19.3.2 The forma
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562 Coupled systemsupFig. 19.6 `Rob
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564 Coupled systemsExcess porepress
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566 Coupled systems2. Conditional s
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568 Coupled systemsconsider the pro
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570 Coupled systemsT c0.80.60.40.2I
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572 Coupled systemsbefore solving f
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574 Coupled systems38. O.C. Zienkie
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20Computer procedures for ®niteele
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578 Computer procedures for ®nite
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580 Computer procedures for ®nite
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582 Computer procedures for ®nite
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584 Computer procedures for ®nite
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586 Computer procedures for ®nite
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588 Computer procedures for ®nite
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590 Computer procedures for ®nite
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592 Computer procedures for ®nite
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594 Computer procedures for ®nite
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596 Computer procedures for ®nite
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598 Computer procedures for ®nite
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600 Computer procedures for ®nite
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602 Computer procedures for ®nite
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604 Computer procedures for ®nite
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606 Computer procedures for ®nite
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608 Computer procedures for ®nite
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610 Computer procedures for ®nite
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612 Computer procedures for ®nite
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614 Computer procedures for ®nite
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616 Computer procedures for ®nite
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618 Computer procedures for ®nite
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Appendix AMatrix algebraThe mystiqu
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622 Appendix Awhich will also follo
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624 Appendix AA symmetric matrix mu
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Appendix BTensor-indicial notation
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628 Appendix BDerivatives and tenso
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630 Appendix BIndeed we can also us
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632 Appendix Bwhich yields the stre
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634 Appendix Bin Chapter 6 as Tr
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Appendix DSome integration formulae
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Appendix FSome vector algebraSome k
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640 Appendix FDirection cosinesDire
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642 Appendix FSimilarly, if we have
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644 Appendix GFig. G.1 De®nitions
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646 Appendix Hpoints the discrete v
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Appendix IMatrix diagonalization or
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650 Appendix IThe third procedure u
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652 Appendix Ithe form (I.6) gives
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Author indexPage numbers in bold re
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Author index 657Fortin, M. 314, 323
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Author index 659Mullord, P. 429, 44
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Author index 661Vahdati, M. 138, 13
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664 Subject indexApproximation ± c
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666 Subject indexConduction:heat, 4
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668 Subject indexDiscretization ±
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670 Subject indexEquation ± cont.
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672 Subject indexFourier transform,
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674 Subject indexInput module:data,
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676 Subject indexMapped mesh genera
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678 Subject indexMoment:bending, 7,
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680 Subject indexPile, foundation,
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682 Subject indexQuadrature ± cont
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684 Subject indexShape functions ±
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686 Subject indexStrati®ed materia
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688 Subject indexTriangle numerical
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