Finite Elements for Analysis and DesignThe finite element method (FEM) is an analysis tool for problem-solving used throughout applied mathematics, engineering, and scientific computing. Finite Elements for Analysis and Design provides a thoroughlyrevised and up-to-date account of this important tool and its numerous applications, with added emphasis on basic theory. Numerous worked examples are included to illustrate the material.Key Features* Akin clearly explains the FEM, a numerical analysis tool for problem-solving throughout applied mathematics, engineering and scientific computing* Basic theory has been added in the book, in |
Contents
II | 1 |
III | 5 |
IV | 9 |
V | 14 |
VI | 15 |
VII | 17 |
VIII | 19 |
X | 20 |
LXXXIV | 221 |
LXXXV | 224 |
LXXXVI | 233 |
LXXXVII | 236 |
LXXXVIII | 238 |
LXXXIX | 240 |
XC | 241 |
XCI | 242 |
XI | 27 |
XII | 28 |
XIII | 37 |
XIV | 38 |
XV | 40 |
XVI | 46 |
XVII | 52 |
XVIII | 54 |
XIX | 55 |
XX | 57 |
XXI | 62 |
XXII | 65 |
XXIII | 67 |
XXIV | 69 |
XXV | 71 |
XXVI | 72 |
XXVIII | 75 |
XXIX | 77 |
XXX | 78 |
XXXI | 79 |
XXXII | 86 |
XXXIII | 87 |
XXXIV | 88 |
XXXV | 89 |
XXXVI | 90 |
XXXVII | 95 |
XXXVIII | 97 |
XXXIX | 98 |
XL | 99 |
XLI | 101 |
XLII | 104 |
XLIII | 106 |
XLIV | 108 |
XLVI | 114 |
XLVII | 117 |
XLVIII | 118 |
XLIX | 119 |
L | 120 |
LI | 122 |
LII | 125 |
LIII | 126 |
LIV | 129 |
LV | 132 |
LVI | 133 |
LVII | 140 |
LIX | 151 |
LX | 156 |
LXI | 161 |
LXII | 163 |
LXIII | 165 |
LXIV | 167 |
LXV | 168 |
LXVI | 172 |
LXVII | 175 |
LXVIII | 176 |
LXIX | 181 |
LXX | 188 |
LXXI | 190 |
LXXII | 191 |
LXXIII | 192 |
LXXIV | 195 |
LXXV | 198 |
LXXVI | 201 |
LXXVII | 206 |
LXXVIII | 208 |
LXXIX | 210 |
LXXX | 215 |
LXXXI | 218 |
LXXXII | 219 |
XCII | 245 |
XCIII | 251 |
XCIV | 254 |
XCV | 255 |
XCVI | 259 |
XCVII | 261 |
XCVIII | 263 |
XCIX | 265 |
CI | 267 |
CII | 270 |
CIII | 272 |
CIV | 273 |
CV | 276 |
CVI | 277 |
CVII | 280 |
CVIII | 285 |
CIX | 286 |
CX | 287 |
CXI | 288 |
CXII | 290 |
CXIII | 297 |
CXIV | 304 |
CXV | 309 |
CXVI | 312 |
CXVII | 313 |
CXVIII | 314 |
CXIX | 315 |
CXX | 318 |
CXXI | 330 |
CXXII | 340 |
CXXIII | 342 |
CXXVII | 343 |
CXXVIII | 350 |
CXXIX | 358 |
CXXX | 359 |
CXXXI | 369 |
CXXXII | 383 |
CXXXIII | 387 |
CXXXIV | 400 |
CXXXV | 406 |
CXXXVI | 414 |
CXXXVII | 417 |
CXXXVIII | 419 |
CXXXIX | 421 |
CXL | 424 |
CXLI | 429 |
CXLIII | 431 |
CXLIV | 437 |
CXLV | 444 |
CXLVI | 449 |
CXLVII | 453 |
CXLVIII | 460 |
CXLIX | 461 |
CL | 471 |
CLI | 477 |
CLII | 480 |
CLIII | 492 |
CLIV | 494 |
CLV | 498 |
CLVI | 501 |
CLVII | 507 |
CLVIII | 513 |
CLIX | 515 |
CLX | 523 |
CLXI | 528 |
CLXII | 531 |
542 | |
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Finite Elements for Analysis and Design: Computational Mathematics and ... J. E. Akin Limited preview - 2014 |
Common terms and phrases
algorithm applications approximate array boundary conditions calculations CALL coefficients column matrix common computed consider constant constraint equation COORD defined degrees of freedom denote diagonal DIMENSION displacement element matrices ELEMENT PROPERTIES ELPROP ELSQ ENDIF error estimates essential boundary essential boundary conditions evaluated example Finite Element Analysis Finite Element Method FLTMIS flux freedom numbers Gaussian quadrature geometry gradient input interpolation functions isoparametric Jacobian linear LNODE load local coordinates MAXR mesh NDFREE NELFRE NLPFIX NLPFLO NMAX nodal parameters nodal points node numbers NSPACE NTAPE1 NUMBER OF ELEMENTS NUMBER OF NODES numerical integration plane stress polynomial procedure PRTMAT quadratic quadrature point quadrilateral RETURN END Figure shown in Fig solution spatial square matrix storage strain stress subroutine symmetric system equations temperature triangle typical utilized values variables vector velocity zero Zienkiewicz ди ду дх