Obsah
Pentahedra, CUBE55K1
Problem
Mesh
| element | type | nodes |
|---|---|---|
| 1 | 55 | 1 2 4 5 6 8 17 21 20 22 23 25 26 30 29 |
| 2 | 55 | 2 3 4 6 7 8 18 19 21 23 24 25 27 28 30 |
| 3 | 56 | 9 10 11 12 13 14 15 16 31 32 33 34 35 36 37 38 39 40 41 42 |
Boundary conditions
Due to symmetry, only one-quarter of the object is discretized, which gives rise to symmetry planes $x=0$ and $y=0.$ In addition, the pressure acting on the bottom face $z=-1$ is replaced with the surface traction introduced by appropriate boundary conditions. The top cube (element 3) is suspended on regularization springs of small stiffness.
$u=0$ at nodes 5, 8, 9, 12, 13, 16, 20, 22, 25, 29, 34, 35, 38, 42
$u=v=w=0$ at node 1
$u=w=0$ at node 4
$v=0$ at nodes 5, 6, 9, 10, 13, 14, 17, 22, 23, 26, 31, 35, 36, 39
$w=0$ at nodes 2, 3, 17, 18, 19, 20, 21
$k_z=2.5\times10^{6}\text{ N/m}$ at nodes 9, 10, 11, 12
Contact surface A: elements 1, 2 face S5
Contact surface B: element 3 face S1
Computation
The computation is executed with the following commands:
- cube55k1.bat
rmd3 cube55k1.i1 rpd3 cube55k1.i2 srh3 cube55k1.i3 fefs cube55k1.i4 hpp3 cube55k1.iP hpls cube55k1.iL str3 cube55k1.i5
Input
- cube55k1.i1
; NELEM NNOD ITED IP 3 42 55 ; CRIT SCALE RP 1.01 1 XY N 1:16 X 4*(0 1 1 0) Y 4*(0 0 1 1) Z 4*0 8*1 4*2 EL E 1:2 N 1 2 4 5 6 8 17 21 20 22 23 25 26 30 29 2 3 4 6 7 8 18 19 21 23 24 25 27 28 30 EL T 56 E 3 N 9:16 31:42 EN EN
- cube55k1.i2
; KREST IP 1 ; E α ν ρ MP 1 T 1 V 2e11 0 0.3 0 SV 1 T 10 V 3*0 ; contact surface A SV 2 T 11 V 3*0 ; contact surface B SV 3 T 6 V -10e6 ; p = 10 MPa NV 1 T 3 N 9 V 0 0 2.5e6 ; regularization spring NV 2 T 3 N 10 V 0 0 2.5e6 ; regularization spring NV 3 T 3 N 11 V 0 0 2.5e6 ; regularization spring NV 4 T 3 N 12 V 0 0 2.5e6 ; regularization spring AS 1 /M 1 /B 0 N 1 /B 0 C 3 N 2 3 17:21 /B 0 C 1 3 N 4 /B 0 C 1 N 5 8 9 12 13 16 20 22 25 29 34 35 38 42 /B 0 C 2 N 5 6 9 10 13 14 17 22 23 26 31 35 36 39 /S 1 E 1 2 S5 /S 2 E 3 S1 /N 1 E 3 /N 2 E 3 /N 3 E 3 /N 4 E 3 AS 2 /S 3 E 3 S6 EN EN
- cube55k1.i3
; KREST IP 1 EN EN
- cube55k1.i4
; KREST IP 1 EN EN
- cube55k1.iP
; KREST NLC NCYC KMOD KCRP KLARG KCNT ... IP 1 1 0 0 0 0 1 3*0 ; load case sequence 2 EN EN
- cube55k1.iL
; KMET KOUT NSUBI NITER NINT KTPR IP 0 1 0 30 0 0 ; UTOL RTOL XTOL PENAL RP 0 0 0 1e13 EN EN
- cube55k1.i5
; KLC 0 KOUT ILC ... KPROB KGRAF IP 3 0 1 1 6*0 2 2 EN EN
Output
- cube55k1.oL
; KMET KOUT NSUBI NITER NINT KTPR IP 0 1 0 30 0 0 ; UTOL RTOL XTOL PENAL RP 0 0 0 1e13 EN EN 2TH LOAD CASE TIME = 0.0000E+00 KAVT = 0 HPLS -- Load level 100.00% HPLS -- iteration 1 HPLS -- iteration 2 HPLS -- iteration 3 HPLS -- iteration 4 HPLS -- iteration 5 HPLS -- iteration 6 HPLS -- iteration 7 HPLS -- iteration 8 HPLS -- iteration 9 HPLS -- iteration 10 HPLS -- iteration 11 HPLS -- iteration 12 HPLS -- iteration 13 HPLS -- iteration 14 HPLS -- iteration 15 HPLS -- iteration 16 HPLS -- iteration 17 HPLS -- iteration 18 HPLS -- iteration 19 HPLS -- iteration 20 HPLS -- iteration 21 HPLS -- iteration 22 HPLS -- iteration 23 HPLS -- iteration 24 HPLS -- iteration 1 ************************************************* * Resolution of contact modeling * ************************************************* ************************************************* * Pair of contact surfaces No 1 * ************************************************* ************************************************* * Group of segments No 10 * ************************************************* Segment IG Contact pair PNTR PNTR/DIS CT [m] [%] [MPa] 1 1 -1 0.99991E-06 1.9608 -10.00 2 -1 0.10000E-05 1.9610 -10.00 3 -1 0.99991E-06 1.9608 -10.00 4 -1 0.99981E-06 1.9606 -10.00 5 -1 0.99986E-06 1.9607 -10.00 6 -1 0.99986E-06 1.9607 -10.00 7 -1 0.10000E-05 1.9610 -10.00 2 1 -1 0.99991E-06 1.9608 -10.00 2 -1 0.99991E-06 1.9608 -10.00 3 -1 0.10000E-05 1.9610 -10.00 4 -1 0.99986E-06 1.9607 -10.00 5 -1 0.99981E-06 1.9605 -10.00 6 -1 0.99986E-06 1.9607 -10.00 7 -1 0.10000E-05 1.9609 -10.00 Resultant of contact pressure CTX= 0.6256403183E-02 CTY= 0.6359876484E-02 CTZ= -0.9999522216E+07 ************************************************* * Group of segments No 11 * ************************************************* Segment IG Contact pair PNTR PNTR/DIS CT [m] [%] [MPa] 1 1 -2 0.99981E-06 1.9998 -10.00 2 -1 0.99995E-06 2.0000 -10.00 3 -1 0.99982E-06 1.9998 -10.00 4 -2 0.99994E-06 2.0000 -10.00 5 -2 0.10000E-05 2.0002 -10.00 6 -1 0.99995E-06 2.0000 -10.00 7 -2 0.99982E-06 1.9998 -10.00 8 -2 0.99994E-06 2.0000 -10.00 9 -2 0.99981E-06 1.9998 -10.00 Resultant of contact pressure CTX= -0.6224755390E-02 CTY= -0.6348227897E-02 CTZ= 0.9999490770E+07 * END OF HPLS * TOTAL CPU: 00:00:00
- cube55k1.o5
; KLC 0 KOUT ILC ... KPROB KGRAF IP 3 0 1 1 6*0 2 2 EN EN 1TH LOAD CASE DISPLACEMENTS NODE U V W ALPHA BETA GAMMA [m] [m] [m] [rad] [rad] [rad] 1 0.0000000E+00 0.0000000E+00 0.0000000E+00 2 0.1499980E-04 0.2571544E-09 0.0000000E+00 3 0.1499933E-04 0.1499941E-04 0.0000000E+00 4 0.0000000E+00 0.1499969E-04 0.0000000E+00 5 0.0000000E+00 0.0000000E+00 -0.4999632E-04 6 0.1499861E-04 0.0000000E+00 -0.4999604E-04 7 0.1499843E-04 0.1499841E-04 -0.4999501E-04 8 0.0000000E+00 0.1499852E-04 -0.4999602E-04 9 0.0000000E+00 0.0000000E+00 -0.5099598E-04 10 0.1500074E-04 0.0000000E+00 -0.5099571E-04 11 0.1500089E-04 0.1500089E-04 -0.5099466E-04 12 0.0000000E+00 0.1500075E-04 -0.5099570E-04 13 0.0000000E+00 0.0000000E+00 -0.1009982E-03 14 0.1499989E-04 0.0000000E+00 -0.1009980E-03 15 0.1499991E-04 0.1499990E-04 -0.1009978E-03 16 0.0000000E+00 0.1499989E-04 -0.1009980E-03 17 0.7499891E-05 0.0000000E+00 0.0000000E+00 18 0.1499943E-04 0.7499843E-05 0.0000000E+00 19 0.7499698E-05 0.1499938E-04 0.0000000E+00 20 0.0000000E+00 0.7499795E-05 0.0000000E+00 21 0.7499742E-05 0.7499755E-05 0.0000000E+00 22 0.0000000E+00 0.0000000E+00 -0.2499868E-04 23 0.1499950E-04 0.0000000E+00 -0.2499792E-04 24 0.1499933E-04 0.1499937E-04 -0.2499795E-04 25 0.0000000E+00 0.1499945E-04 -0.2499791E-04 26 0.7499280E-05 0.0000000E+00 -0.4999746E-04 27 0.1499864E-04 0.7499347E-05 -0.4999685E-04 28 0.7499338E-05 0.1499858E-04 -0.4999684E-04 29 0.0000000E+00 0.7499224E-05 -0.4999746E-04 30 0.7499384E-05 0.7499364E-05 -0.4999853E-04 31 0.7500362E-05 0.0000000E+00 -0.5099733E-04 32 0.1500072E-04 0.7500408E-05 -0.5099673E-04 33 0.7500405E-05 0.1500073E-04 -0.5099672E-04 34 0.0000000E+00 0.7500367E-05 -0.5099734E-04 35 0.0000000E+00 0.0000000E+00 -0.7599726E-04 36 0.1499993E-04 0.0000000E+00 -0.7599693E-04 37 0.1499991E-04 0.1499991E-04 -0.7599637E-04 38 0.0000000E+00 0.1499993E-04 -0.7599692E-04 39 0.7499934E-05 0.0000000E+00 -0.1009978E-03 40 0.1499979E-04 0.7499925E-05 -0.1009975E-03 41 0.7499928E-05 0.1499979E-04 -0.1009975E-03 42 0.0000000E+00 0.7499931E-05 -0.1009978E-03 STRESSES AT GAUSSPOINTS IE IGP XG YG ZG SIG-X SIG-Y SIG-Z SIG-XY SIG-YZ SIG-XZ SIG-HMH EPSP DMG [m] [m] [m] [MPa] [MPa] [MPa] [MPa] [MPa] [MPa] [MPa] [-] [%] 1 1 0.4701E+00 0.5972E-01 0.1127E+00 0.0 0.0 -10.0 -0.0 -0.0 0.0 10.0 0.000E+00 0.00 2 0.4701E+00 0.4701E+00 0.1127E+00 0.0 0.0 -10.0 -0.0 0.0 0.0 10.0 0.000E+00 0.00 3 0.5972E-01 0.4701E+00 0.1127E+00 0.0 0.0 -10.0 -0.0 0.0 -0.0 10.0 0.000E+00 0.00 4 0.1013E+00 0.1013E+00 0.1127E+00 0.0 0.0 -10.0 -0.0 -0.0 -0.0 10.0 0.000E+00 0.00 5 0.7974E+00 0.1013E+00 0.1127E+00 0.0 0.0 -10.0 0.0 -0.0 0.0 10.0 0.000E+00 0.00 6 0.1013E+00 0.7974E+00 0.1127E+00 0.0 0.0 -10.0 -0.0 0.0 -0.0 10.0 0.000E+00 0.00 7 0.3333E+00 0.3333E+00 0.1127E+00 -0.0 -0.0 -10.0 -0.0 0.0 0.0 10.0 0.000E+00 0.00 8 0.4701E+00 0.5972E-01 0.5000E+00 0.0 0.0 -10.0 -0.0 -0.0 0.0 10.0 0.000E+00 0.00 9 0.4701E+00 0.4701E+00 0.5000E+00 -0.0 -0.0 -10.0 0.0 0.0 0.0 10.0 0.000E+00 0.00 10 0.5972E-01 0.4701E+00 0.5000E+00 0.0 0.0 -10.0 -0.0 0.0 -0.0 10.0 0.000E+00 0.00 11 0.1013E+00 0.1013E+00 0.5000E+00 0.0 0.0 -10.0 -0.0 -0.0 -0.0 10.0 0.000E+00 0.00 12 0.7974E+00 0.1013E+00 0.5000E+00 0.0 0.0 -10.0 0.0 -0.0 0.0 10.0 0.000E+00 0.00 13 0.1013E+00 0.7974E+00 0.5000E+00 0.0 0.0 -10.0 -0.0 0.0 -0.0 10.0 0.000E+00 0.00 14 0.3333E+00 0.3333E+00 0.5000E+00 -0.0 -0.0 -10.0 -0.0 -0.0 -0.0 10.0 0.000E+00 0.00 15 0.4701E+00 0.5972E-01 0.8873E+00 -0.0 -0.0 -10.0 0.0 -0.0 -0.0 10.0 0.000E+00 0.00 16 0.4701E+00 0.4701E+00 0.8873E+00 -0.0 -0.0 -10.0 0.0 -0.0 -0.0 10.0 0.000E+00 0.00 17 0.5972E-01 0.4701E+00 0.8873E+00 -0.0 -0.0 -10.0 0.0 -0.0 -0.0 10.0 0.000E+00 0.00 18 0.1013E+00 0.1013E+00 0.8873E+00 -0.0 -0.0 -10.0 0.0 -0.0 -0.0 10.0 0.000E+00 0.00 19 0.7974E+00 0.1013E+00 0.8873E+00 -0.0 -0.0 -10.0 0.0 -0.0 0.0 10.0 0.000E+00 0.00 20 0.1013E+00 0.7974E+00 0.8873E+00 -0.0 -0.0 -10.0 0.0 0.0 -0.0 10.0 0.000E+00 0.00 21 0.3333E+00 0.3333E+00 0.8873E+00 -0.0 -0.0 -10.0 0.0 -0.0 -0.0 10.0 0.000E+00 0.00 2 1 0.9403E+00 0.5299E+00 0.1127E+00 0.0 0.0 -10.0 0.0 0.0 0.0 10.0 0.000E+00 0.00 2 0.5299E+00 0.9403E+00 0.1127E+00 0.0 0.0 -10.0 -0.0 0.0 0.0 10.0 0.000E+00 0.00 3 0.5299E+00 0.5299E+00 0.1127E+00 0.0 -0.0 -10.0 -0.0 -0.0 0.0 10.0 0.000E+00 0.00 4 0.8987E+00 0.2026E+00 0.1127E+00 0.0 0.0 -10.0 -0.0 -0.0 0.0 10.0 0.000E+00 0.00 5 0.8987E+00 0.8987E+00 0.1127E+00 0.0 0.0 -10.0 0.0 0.0 0.0 10.0 0.000E+00 0.00 6 0.2026E+00 0.8987E+00 0.1127E+00 0.0 0.0 -10.0 -0.0 0.0 -0.0 10.0 0.000E+00 0.00 7 0.6667E+00 0.6667E+00 0.1127E+00 -0.0 -0.0 -10.0 -0.0 0.0 0.0 10.0 0.000E+00 0.00 8 0.9403E+00 0.5299E+00 0.5000E+00 0.0 0.0 -10.0 0.0 -0.0 0.0 10.0 0.000E+00 0.00 9 0.5299E+00 0.9403E+00 0.5000E+00 0.0 0.0 -10.0 0.0 0.0 -0.0 10.0 0.000E+00 0.00 10 0.5299E+00 0.5299E+00 0.5000E+00 -0.0 0.0 -10.0 0.0 -0.0 -0.0 10.0 0.000E+00 0.00 11 0.8987E+00 0.2026E+00 0.5000E+00 0.0 0.0 -10.0 0.0 -0.0 0.0 10.0 0.000E+00 0.00 12 0.8987E+00 0.8987E+00 0.5000E+00 0.0 0.0 -10.0 -0.0 0.0 0.0 10.0 0.000E+00 0.00 13 0.2026E+00 0.8987E+00 0.5000E+00 0.0 0.0 -10.0 0.0 0.0 -0.0 10.0 0.000E+00 0.00 14 0.6667E+00 0.6667E+00 0.5000E+00 -0.0 0.0 -10.0 0.0 0.0 0.0 10.0 0.000E+00 0.00 15 0.9403E+00 0.5299E+00 0.8873E+00 -0.0 -0.0 -10.0 -0.0 -0.0 0.0 10.0 0.000E+00 0.00 16 0.5299E+00 0.9403E+00 0.8873E+00 -0.0 -0.0 -10.0 -0.0 0.0 -0.0 10.0 0.000E+00 0.00 17 0.5299E+00 0.5299E+00 0.8873E+00 -0.0 -0.0 -10.0 0.0 -0.0 -0.0 10.0 0.000E+00 0.00 18 0.8987E+00 0.2026E+00 0.8873E+00 -0.0 -0.0 -10.0 0.0 -0.0 0.0 10.0 0.000E+00 0.00 19 0.8987E+00 0.8987E+00 0.8873E+00 -0.0 -0.0 -10.0 -0.0 0.0 0.0 10.0 0.000E+00 0.00 20 0.2026E+00 0.8987E+00 0.8873E+00 -0.0 -0.0 -10.0 0.0 0.0 -0.0 10.0 0.000E+00 0.00 21 0.6667E+00 0.6667E+00 0.8873E+00 -0.0 -0.0 -10.0 -0.0 0.0 0.0 10.0 0.000E+00 0.00 3 1 0.1127E+00 0.1127E+00 0.1113E+01 0.0 0.0 -10.0 -0.0 -0.0 -0.0 10.0 0.000E+00 0.00 2 0.5000E+00 0.1127E+00 0.1113E+01 0.0 0.0 -10.0 -0.0 -0.0 -0.0 10.0 0.000E+00 0.00 3 0.8873E+00 0.1127E+00 0.1113E+01 0.0 0.0 -10.0 -0.0 -0.0 0.0 10.0 0.000E+00 0.00 4 0.1127E+00 0.1127E+00 0.1500E+01 -0.0 -0.0 -10.0 -0.0 -0.0 -0.0 10.0 0.000E+00 0.00 5 0.5000E+00 0.1127E+00 0.1500E+01 -0.0 -0.0 -10.0 -0.0 -0.0 -0.0 10.0 0.000E+00 0.00 6 0.8873E+00 0.1127E+00 0.1500E+01 -0.0 -0.0 -10.0 -0.0 -0.0 0.0 10.0 0.000E+00 0.00 7 0.1127E+00 0.1127E+00 0.1887E+01 -0.0 -0.0 -10.0 -0.0 0.0 0.0 10.0 0.000E+00 0.00 8 0.5000E+00 0.1127E+00 0.1887E+01 -0.0 -0.0 -10.0 -0.0 0.0 0.0 10.0 0.000E+00 0.00 9 0.8873E+00 0.1127E+00 0.1887E+01 -0.0 -0.0 -10.0 -0.0 0.0 0.0 10.0 0.000E+00 0.00 10 0.1127E+00 0.5000E+00 0.1113E+01 0.0 0.0 -10.0 -0.0 -0.0 -0.0 10.0 0.000E+00 0.00 11 0.5000E+00 0.5000E+00 0.1113E+01 0.0 0.0 -10.0 0.0 -0.0 -0.0 10.0 0.000E+00 0.00 12 0.8873E+00 0.5000E+00 0.1113E+01 0.0 0.0 -10.0 0.0 -0.0 0.0 10.0 0.000E+00 0.00 13 0.1127E+00 0.5000E+00 0.1500E+01 -0.0 -0.0 -10.0 -0.0 -0.0 -0.0 10.0 0.000E+00 0.00 14 0.5000E+00 0.5000E+00 0.1500E+01 0.0 0.0 -10.0 -0.0 -0.0 -0.0 10.0 0.000E+00 0.00 15 0.8873E+00 0.5000E+00 0.1500E+01 -0.0 -0.0 -10.0 0.0 0.0 0.0 10.0 0.000E+00 0.00 16 0.1127E+00 0.5000E+00 0.1887E+01 -0.0 -0.0 -10.0 -0.0 0.0 0.0 10.0 0.000E+00 0.00 17 0.5000E+00 0.5000E+00 0.1887E+01 0.0 0.0 -10.0 -0.0 0.0 0.0 10.0 0.000E+00 0.00 18 0.8873E+00 0.5000E+00 0.1887E+01 -0.0 -0.0 -10.0 0.0 0.0 0.0 10.0 0.000E+00 0.00 19 0.1127E+00 0.8873E+00 0.1113E+01 0.0 0.0 -10.0 -0.0 0.0 -0.0 10.0 0.000E+00 0.00 20 0.5000E+00 0.8873E+00 0.1113E+01 0.0 0.0 -10.0 0.0 0.0 -0.0 10.0 0.000E+00 0.00 21 0.8873E+00 0.8873E+00 0.1113E+01 0.0 0.0 -10.0 0.0 0.0 0.0 10.0 0.000E+00 0.00 22 0.1127E+00 0.8873E+00 0.1500E+01 -0.0 -0.0 -10.0 -0.0 0.0 -0.0 10.0 0.000E+00 0.00 23 0.5000E+00 0.8873E+00 0.1500E+01 -0.0 -0.0 -10.0 0.0 0.0 0.0 10.0 0.000E+00 0.00 24 0.8873E+00 0.8873E+00 0.1500E+01 -0.0 -0.0 -10.0 0.0 0.0 0.0 10.0 0.000E+00 0.00 25 0.1127E+00 0.8873E+00 0.1887E+01 -0.0 -0.0 -10.0 -0.0 0.0 0.0 10.0 0.000E+00 0.00 26 0.5000E+00 0.8873E+00 0.1887E+01 -0.0 -0.0 -10.0 0.0 0.0 0.0 10.0 0.000E+00 0.00 27 0.8873E+00 0.8873E+00 0.1887E+01 -0.0 -0.0 -10.0 0.0 0.0 0.0 10.0 0.000E+00 0.00 * END OF STR3 * TOTAL CPU: 00:00:00