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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
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European Laboratory for Structural
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Proceedings of a Course on: Numeric
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Programme of the Course 1. Introduc
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Credits & Acknowledgments • Struc
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Introductory Example (4) 7 Applicat
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x Computational Framework • Gover
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n+ 1 n ∆t n n+ 1 u = u + ( u + u
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Scheme start-up and marching (2)
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Stress Update • To solve the equi
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Geometric non-linearities (3) Set u
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Essential Boundary Conditions Essen
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Exercise 0 - Ideal ballistics • M
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Exercise 0 - Ideal ballistics (5)
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Exercise 1 - Suspended mass (3) •
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Exercise 1 - Suspended mass (7) •
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Exercise 2 - Wave propagation (4)
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Exercise 3 - Impact on Cooling Towe
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TITLE: PMAT04: motion of projectile
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sinon; tra2 = tra2 et ele; finsi; f
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Some results: horizontal and vertic
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PMAT01E This test is similar to PMA
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Hence: 11 −8 ES 2× 10 ⋅ 2.5×
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The stress history is: Note that th
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Analytical TEST11 Same as TEST01 bu
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Comparison of natural vs. engineeri
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The total external forces at the tw
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TEST13 Same as TEST01 but uses a 10
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The mass returns at the initial pos
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TEST22 To verify the independence o
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Linear dynamic analysis Consider th
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• The two waves f and g propagate
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Analytical solution For the bar imp
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Note that we have also put the Pois
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BARI08 We study the effect of the t
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ENDPLAY *==========================
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BARI10 Same as BARI09 but compares
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The system is initially at rest, an
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CAST MESH TRID NONL LAGR $ $ Dimens
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Final deformation (with superposed
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Detailed Contents • Modeling the
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Modeling the fluid domain • The f
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Euler equations (3) • For a compr
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Time integration Each time incremen
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Time integration (5) 10. Account fo
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Euler Equations (FV) • They are w
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Mesh rezoning - motivations • Rez
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Giuliani’s automatic rezoning •
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• Analytical solution (self-simil
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Shock tube (6) • Influence of pse
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Exercise 2 - Explosion in air-fille
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Exercise 3 - Bubble expansion in a
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Exercise 4 - External blast on two
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Geometric data: The calculation is
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SHOC01 Eulerian, “average” pseu
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COUR 7 'ro_a' ECRO COMP 2 ELEM LECT
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Analytical Conclusion: the pseudo-v
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SHOC13 Eulerian, very low pseudo-vi
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Analytical General conclusions: •
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The inverse path is not so straight
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The input files (mesh generation by
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Geometric data: The calculation is
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COUR 1 'dx_4' DEPL COMP 1 NOEU LECT
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TANK02 Eulerian solution: the whole
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The final pressure distribution is:
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TUBE06 Lagrangian solution: the who
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And the final velocity distribution
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The computed displacements are: To
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43 30 30 43 44 31 31 44 45 32 32 45
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Geometric data: External blast in a
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abs4 = dall (p4 d 28 p4u) (p4u d 40
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Geometric data: Internal blast in a
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air = air1 ET air2 ET air3 ET air4
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COURBE 8 'P e_p12' ECROU COMP 1 lec
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3D axisymmetric simulation: JWLS3G
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point lect 1 term elem lect 1 term
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Universitat Politècnica de Catalun
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• Motivation Detailed Contents
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FSI Classification FSI for compress
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The 2-D plane case (2) Use geometri
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Classification of FSI algorithms
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The FSA algorithm (4) The case of s
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The FSCR algorithm Combination of F
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Application to Finite Volumes (3) 2
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Exercise 2 - Explosions in simple d
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Exercise/Example 3 - Wave propagati
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Exercise/Example 4 - CONT problem (
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Exercise/Example 5 - Explosion in a
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Exercise/Example 6 : Woodward-Colel
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Geometry: Exercise/Example 8 Steam
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Exercise/Example 9 Explosion in Sec
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Exercise/Example 9 Explosion in Sec
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Boundary Condition Elements: CLxx (
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Exercise/Example 11 - Perforated Pl
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Exercise/Example 12 - Sloshing (3)
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DIME PT3L 23 PT2L 143 FL24 145 ED01
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The final pressure field in the flu
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ALE solution with FSA: it is not po
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120 119 138 139 121 120 139 140 122
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and the final velocity field: The s
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The final velocities: The final liq
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*----------------------------------
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TWIS07 We study the phenomenon by a
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This is a well-known reactor safety
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1.53330E+00 1.32310E+01 1.15000E+00
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200 199 239 240 200 200 200 240 241
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*----------------------------------
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The final fluid pressures: CONT02 T
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The final fluid velocities: The fin
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This example consists in a long 3D
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GEOM FL38 flui Q4GS stru TERM COMP
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Detail of first diaphragm: Detail o
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BOUNDARY CONDITIONS: The step is en
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The EUROPLEXUS input file reads: WO
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WOCO3D The mesh generation file (K2
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* RESU ALIC GARD PSCR * SORT GRAP *
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PT3L 16389 PT6L 504 NBLE 16389 NALE
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Final pressure distribution: 4
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BOUNDARY CONDITIONS: The vessel is
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as01=daller c1 c2 c3 c4 plan; * c1=
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*trac oeil cach fluidstr; *opti don
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cam3=cam31 et cam32; camb=cam1 et c
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log 1 dtml REZO GAM0 0.5 FLMP EPS1
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Final structure deformation: Final
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LOADING: The event is initiated by
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FLUT RO .242777373 EINT 6.865E5 GAM
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Final structure velocities: 6
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RESULTS: A paper by Bermudez and Ro
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The applied displacement and the co
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PROBLEM: A rigid tank with a deform
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The EUROPLEXUS input file reads: GR
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PROBLEM: A rigid tank with rigid or
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COMP EPAI 0.005 LECT 101 102 103 10
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Numerical Solution (flexible bottom
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! VARI DEPL VITE ECRO ! fich alic t
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The final pressures in the rigid an
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LOADING: A constant gravity in the
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Some results: intermediate and fina
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Universitat Politècnica de Catalun
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ALE description of structures (2)
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Example 1 - Taylor bar impact (3) B
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Example 3 - Coining (3) Influence o
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• Tentative classification: Non-c
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Example 4 - Explosion in a 2D box (
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Example 6 - LOCA in the HDR (2) A -
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Examples of “Slow” Transient Co
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Examples of Fast Transient Impact
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Components of Contact-Impact Method
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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
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The initial configuration (with par
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The reaction force is: Approximate
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-5.10000E-01 1.33333E+00 2.00000E+0
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Some hardening quantity in the targ
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Final plastic streen in the target
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Final plastic strain in the target:
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Problem description: This example r
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The input file is: HOLE - 06 $ ECHO
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trac 2 1 AXES 1.0 'DISPL. [M]' yzer
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Problem description: This example r
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* fin lab3; nodf=c1p; * tpln=0.0 40
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The input file is: VALL - PS $ ECHO
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The final displacement norm in the
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VEC1=2. 0.; * P1=P11; R1=P13; S1=P1
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S3=P33 PLUS VEC1; * N1=2; N2=3; N3=
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CHPO2=CHPO2 / SCAL1; TSTAT2 . &BCL9
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AXTE 1E3 'Temps (ms)' *------------
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The final displacement field in the
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P9=40. 5. 5.; P14=20. 5. 5.; * BASE
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CLIM1=(P5 ET P6 ET P7 ET P8); CLIM1
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SUIT Post-treatment ECHO RESU ALIC
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The final displacement field in the
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tol=0.01E-3; * base=p0 d 5 p1; stru
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eli=stru elem i; si (ega j 0); sq42
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h3=8.1e-3; h4=16.2e-3; h5=24.3e-3;
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The characteristic displacements in
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The final yield stress field in the
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The mission of the Joint Research C
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