Download full text - ELSA - Europa

More documents

Recommendations

Info

Geometric data and materials: See slide. Numerical Solution BARI10 The mesh generation file is: *%siz 40 opti echo 1; * opti titr 'BARI - 10'; opti dime 2 elem qua4; * p0=0 0; p1=3.2E-3 0; p2=0 32.4E-3; tol=0.01E-3; * base=p0 d 6 p1; stru=base TRAN 60 p2; elim tol (stru et p2); * symax=stru poin droi p0 p2 tol; top=stru poin droi p2 (p1 PLUS p2) tol; * str1=chan 'POI1' stru; bas1=chan 'POI1' base; viti=diff str1 bas1; lili=diff bas1 (p0 et p1); slin=stru poin droi p1 (p1 plus p2) tol; 1
Page 1 and 2:
European Laboratory for Structural
Page 3 and 4:
Proceedings of a Course on: Numeric
Page 5:
Programme of the Course 1. Introduc
Page 10 and 11:
Credits & Acknowledgments • Struc
Page 12 and 13:
Introductory Example (4) 7 Applicat
Page 14 and 15:
x Computational Framework • Gover
Page 16 and 17:
n+ 1 n ∆t n n+ 1 u = u + ( u + u
Page 18 and 19:
Scheme start-up and marching (2)
Page 20 and 21:
Stress Update • To solve the equi
Page 22 and 23:
Geometric non-linearities (3) Set u
Page 24 and 25:
Essential Boundary Conditions Essen
Page 26 and 27:
Exercise 0 - Ideal ballistics • M
Page 28 and 29:
Exercise 0 - Ideal ballistics (5)
Page 30 and 31:
Exercise 1 - Suspended mass (3) •
Page 32 and 33:
Exercise 1 - Suspended mass (7) •
Page 34 and 35:
Exercise 2 - Wave propagation (4)
Page 36 and 37:
Exercise 3 - Impact on Cooling Towe
Page 41 and 42:
TITLE: PMAT04: motion of projectile
Page 43 and 44:
sinon; tra2 = tra2 et ele; finsi; f
Page 45 and 46:
Some results: horizontal and vertic
Page 47:
PMAT01E This test is similar to PMA
Page 50 and 51:
Hence: 11 −8 ES 2× 10 ⋅ 2.5×
Page 52 and 53:
The stress history is: Note that th
Page 54 and 55:
Analytical TEST11 Same as TEST01 bu
Page 56 and 57:
Comparison of natural vs. engineeri
Page 58 and 59:
The total external forces at the tw
Page 61 and 62:
TEST13 Same as TEST01 but uses a 10
Page 63 and 64:
The mass returns at the initial pos
Page 65 and 66:
TEST22 To verify the independence o
Page 67 and 68:
Linear dynamic analysis Consider th
Page 69 and 70:
• The two waves f and g propagate
Page 71 and 72:
Analytical solution For the bar imp
Page 73 and 74:
Note that we have also put the Pois
Page 75 and 76:
BARI08 We study the effect of the t
Page 77 and 78:
ENDPLAY *==========================
Page 79:
BARI10 Same as BARI09 but compares
Page 82 and 83:
The system is initially at rest, an
Page 84 and 85:
CAST MESH TRID NONL LAGR $ $ Dimens
Page 86:
Final deformation (with superposed
Page 90 and 91:
Detailed Contents • Modeling the
Page 92 and 93:
Modeling the fluid domain • The f
Page 94 and 95:
Euler equations (3) • For a compr
Page 96 and 97:
Time integration Each time incremen
Page 98 and 99:
Time integration (5) 10. Account fo
Page 100 and 101:
Euler Equations (FV) • They are w
Page 102 and 103:
Mesh rezoning - motivations • Rez
Page 104 and 105:
Giuliani’s automatic rezoning •
Page 106 and 107:
• Analytical solution (self-simil
Page 108 and 109:
Shock tube (6) • Influence of pse
Page 110 and 111:
Exercise 2 - Explosion in air-fille
Page 112 and 113:
Exercise 3 - Bubble expansion in a
Page 114 and 115:
Exercise 4 - External blast on two
Page 119 and 120:
Geometric data: The calculation is
Page 121 and 122:
SHOC01 Eulerian, “average” pseu
Page 123 and 124:
COUR 7 'ro_a' ECRO COMP 2 ELEM LECT
Page 125 and 126:
Analytical Conclusion: the pseudo-v
Page 127 and 128:
SHOC13 Eulerian, very low pseudo-vi
Page 129 and 130:
Analytical General conclusions: •
Page 131 and 132:
The inverse path is not so straight
Page 133 and 134:
The input files (mesh generation by
Page 135 and 136:
Geometric data: The calculation is
Page 137 and 138:
COUR 1 'dx_4' DEPL COMP 1 NOEU LECT
Page 139 and 140:
TANK02 Eulerian solution: the whole
Page 141:
The final pressure distribution is:
Page 144 and 145:
TUBE06 Lagrangian solution: the who
Page 146 and 147:
And the final velocity distribution
Page 148 and 149:
The computed displacements are: To
Page 150 and 151:
43 30 30 43 44 31 31 44 45 32 32 45
Page 153 and 154:
Geometric data: External blast in a
Page 155 and 156:
abs4 = dall (p4 d 28 p4u) (p4u d 40
Page 157 and 158:
Geometric data: Internal blast in a
Page 159 and 160:
air = air1 ET air2 ET air3 ET air4
Page 161 and 162:
COURBE 8 'P e_p12' ECROU COMP 1 lec
Page 163 and 164:
3D axisymmetric simulation: JWLS3G
Page 165 and 166:
point lect 1 term elem lect 1 term
Page 169 and 170:
Universitat Politècnica de Catalun
Page 171 and 172:
• Motivation Detailed Contents
Page 173 and 174:
FSI Classification FSI for compress
Page 175 and 176:
The 2-D plane case (2) Use geometri
Page 177 and 178:
Classification of FSI algorithms
Page 179 and 180:
The FSA algorithm (4) The case of s
Page 181 and 182:
The FSCR algorithm Combination of F
Page 183 and 184:
Application to Finite Volumes (3) 2
Page 185 and 186:
Exercise 2 - Explosions in simple d
Page 187 and 188:
Exercise/Example 3 - Wave propagati
Page 189 and 190:
Exercise/Example 4 - CONT problem (
Page 191 and 192:
Exercise/Example 5 - Explosion in a
Page 193 and 194:
Exercise/Example 6 : Woodward-Colel
Page 195 and 196:
Geometry: Exercise/Example 8 Steam
Page 197 and 198:
Exercise/Example 9 Explosion in Sec
Page 199 and 200:
Exercise/Example 9 Explosion in Sec
Page 201 and 202:
Boundary Condition Elements: CLxx (
Page 203 and 204:
Exercise/Example 11 - Perforated Pl
Page 205 and 206:
Exercise/Example 12 - Sloshing (3)
Page 207 and 208:
Page 209:
Page 214 and 215:
DIME PT3L 23 PT2L 143 FL24 145 ED01
Page 216 and 217:
The final pressure field in the flu
Page 218 and 219:
ALE solution with FSA: it is not po
Page 220 and 221:
120 119 138 139 121 120 139 140 122
Page 222 and 223:
and the final velocity field: The s
Page 224 and 225:
The final velocities: The final liq
Page 226 and 227:
*----------------------------------
Page 228 and 229:
TWIS07 We study the phenomenon by a
Page 231 and 232:
This is a well-known reactor safety
Page 233 and 234:
1.53330E+00 1.32310E+01 1.15000E+00
Page 235 and 236:
200 199 239 240 200 200 200 240 241
Page 237 and 238:
*----------------------------------
Page 239 and 240:
The final fluid pressures: CONT02 T
Page 241 and 242:
The final fluid velocities: The fin
Page 243 and 244:
This example consists in a long 3D
Page 245 and 246:
GEOM FL38 flui Q4GS stru TERM COMP
Page 248 and 249:
Detail of first diaphragm: Detail o
Page 250 and 251:
BOUNDARY CONDITIONS: The step is en
Page 252 and 253:
The EUROPLEXUS input file reads: WO
Page 254 and 255:
WOCO3D The mesh generation file (K2
Page 256 and 257:
* RESU ALIC GARD PSCR * SORT GRAP *
Page 258 and 259:
PT3L 16389 PT6L 504 NBLE 16389 NALE
Page 260 and 261:
Final pressure distribution: 4
Page 262 and 263:
BOUNDARY CONDITIONS: The vessel is
Page 264 and 265:
as01=daller c1 c2 c3 c4 plan; * c1=
Page 266 and 267:
*trac oeil cach fluidstr; *opti don
Page 268 and 269:
cam3=cam31 et cam32; camb=cam1 et c
Page 270 and 271:
log 1 dtml REZO GAM0 0.5 FLMP EPS1
Page 272 and 273:
Final structure deformation: Final
Page 274 and 275:
LOADING: The event is initiated by
Page 276 and 277:
FLUT RO .242777373 EINT 6.865E5 GAM
Page 278 and 279:
Final structure velocities: 6
Page 280 and 281:
RESULTS: A paper by Bermudez and Ro
Page 282 and 283:
The applied displacement and the co
Page 284 and 285:
PROBLEM: A rigid tank with a deform
Page 286:
The EUROPLEXUS input file reads: GR
Page 289 and 290:
PROBLEM: A rigid tank with rigid or
Page 291 and 292:
COMP EPAI 0.005 LECT 101 102 103 10
Page 293 and 294:
Numerical Solution (flexible bottom
Page 295 and 296:
! VARI DEPL VITE ECRO ! fich alic t
Page 297 and 298:
The final pressures in the rigid an
Page 299 and 300:
LOADING: A constant gravity in the
Page 301 and 302:
Some results: intermediate and fina
Page 305 and 306:
Universitat Politècnica de Catalun
Page 307 and 308:
ALE description of structures (2)
Page 309 and 310:
Example 1 - Taylor bar impact (3) B
Page 311 and 312:
Example 3 - Coining (3) Influence o
Page 313 and 314:
• Tentative classification: Non-c
Page 315 and 316:
Example 4 - Explosion in a 2D box (
Page 317 and 318:
Example 6 - LOCA in the HDR (2) A -
Page 319 and 320:
Examples of “Slow” Transient Co
Page 321 and 322:
Examples of Fast Transient Impact
Page 323 and 324:
Components of Contact-Impact Method
Page 325 and 326:
Shortcomings • Slender or distort
Page 327 and 328: Example - Bar impact • (See Part
Page 329 and 330: Example 7b - Indentation (2) • 2D
Page 331 and 332: Example 7b - Indentation (6) • 3D
Page 333 and 334: Smoothed Particles Hydrodynamics (C
Page 335 and 336: SPH Formulation (2) • Basic idea:
Page 337 and 338: SPH impact [Courtesy of Samtech/Son
Page 339 and 340: PRGL01: Example 8 - SPH impacts (Co
Page 341 and 342: Spectral Elements • Motivation: l
Page 343 and 344: Spectral Elements (5) Convergence p
Page 345 and 346: Example 9 - Closed FE/SE interface
Page 347 and 348: Example 11 - Cylindrical valley 85
Page 349 and 350: Performance Optimization • All ex
Page 351 and 352: Time Step Partitioning (4) • Intr
Page 353 and 354: Time Step Partitioning (8) • Acti
Page 355 and 356: Treatment of links in partitioning
Page 357 and 358: Example 12a - Taylor bar impact rev
Page 359 and 360: Coupling at the Interfaces • Two
Page 361 and 362: Coupling at the Interfaces (5) MU T
Page 363 and 364: Coupling at the Interfaces (9) Time
Page 365 and 366: Multiple scales in time (3) • Exp
Page 367 and 368: Multiple scales in space • Furthe
Page 369 and 370: Multiple scales in frequency • So
Page 371 and 372: Example: power plant 133 Example: p
Page 373 and 374: Example: aircraft (3) Thanks to CPU
Page 375 and 376: Example 14 - Domains in 3D • Thic
Page 377: Example 15 - Bar Impact Revisited (
Page 383 and 384: sler cam1 1 nfra 20 trac offs fich
Page 385 and 386: Geometric data and materials: See s
Page 387 and 388: POIN TOUS CHAMELEM FICH TPLO FREQ 1
Page 389 and 390: * p6=1.2E-2 0; p7=1.2E-2 1.0E-2; *
Page 391: COUR 1 'dx_P1' DEPL COMP 1 NOEU LEC
Page 394 and 395: p4s=p4 plus (0 0); tol=0.001; c1=p1
Page 396 and 397: The deformed final mesh at 4 ms wit
Page 398 and 399: The input file: INFS - 02 *--------
Page 400 and 401: The final mesh and pressures are: T
Page 402 and 403: ZONE 2 PMAT 2 Q4GS 3904 ECRO 858884
Page 404 and 405: The final deformed mesh is: The fin
Page 407 and 408: Problem description: This example i
Page 409 and 410: LECT die punch holder TERM MASS 0.1
Page 411 and 412: Geometric data and materials: See s
Page 413 and 414: geom !navi free line heou poin sphp
Page 415: An example of intermediate velociti
Page 418 and 419: LOADING: The indenter is pushed int
Page 420 and 421: The initial configuration (with par
Page 422 and 423: The reaction force is: Approximate
Page 424 and 425: The final velocities: 8
Page 426 and 427: The reaction force is: Approximate
Page 428 and 429:
The initial configuration (with par
Page 430 and 431:
The reaction force is: Approximate
Page 432 and 433:
-5.10000E-01 1.33333E+00 2.00000E+0
Page 434 and 435:
Some hardening quantity in the targ
Page 436 and 437:
Final plastic streen in the target
Page 438 and 439:
Final plastic strain in the target:
Page 441 and 442:
Problem description: This example r
Page 443 and 444:
The input file is: HOLE - 06 $ ECHO
Page 445 and 446:
trac 2 1 AXES 1.0 'DISPL. [M]' yzer
Page 447 and 448:
Problem description: This example r
Page 449 and 450:
* fin lab3; nodf=c1p; * tpln=0.0 40
Page 451 and 452:
The input file is: VALL - PS $ ECHO
Page 453:
The final displacement norm in the
Page 456 and 457:
VEC1=2. 0.; * P1=P11; R1=P13; S1=P1
Page 458 and 459:
S3=P33 PLUS VEC1; * N1=2; N2=3; N3=
Page 460 and 461:
CHPO2=CHPO2 / SCAL1; TSTAT2 . &BCL9
Page 462 and 463:
AXTE 1E3 'Temps (ms)' *------------
Page 464 and 465:
The final displacement field in the
Page 466 and 467:
P9=40. 5. 5.; P14=20. 5. 5.; * BASE
Page 468 and 469:
CLIM1=(P5 ET P6 ET P7 ET P8); CLIM1
Page 470 and 471:
SUIT Post-treatment ECHO RESU ALIC
Page 472 and 473:
The final displacement field in the
Page 474 and 475:
tol=0.01E-3; * base=p0 d 5 p1; stru
Page 476 and 477:
eli=stru elem i; si (ega j 0); sq42
Page 478 and 479:
h3=8.1e-3; h4=16.2e-3; h5=24.3e-3;
Page 480 and 481:
The characteristic displacements in
Page 482:
The final yield stress field in the
Page 486:
The mission of the Joint Research C
show all

Download full text - ELSA - Europa

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?