Abaqus Verification Guide  


1.4.1 Continuum stress/displacement elements

Product: Abaqus/Standard  

I. Plane stress, plane strain, and generalized plane strain elements

Problem description

Note:  Meshes for tests of foundation types F2, F3, and F4 are irregularly shaped.

Model:

Square dimensions7 × 7
Thickness1.0
Centrifugal axis of rotation(0, 1, 0) through origin
Coriolis axis of rotation(0, 0, 1) through origin
Gravitational load vector(0, –1, 0)

Material:

Young's modulus3 × 106
Poisson's ratio0.3
Coefficient of thermal expansion.0001
Density5 × 10–5

Initial conditions:

Initial temperatureALL, –10.0
Initial velocityALL, 1, 10.0
(Coriolis loading)ALL, 2, 5.0
Hydrostatic pressure datumlower-order elements: 7.0
 higher-order elements: 3.0
Hydrostatic pressure elevation0.0

Results and discussion

The calculated reactions are in agreement with the applied loads.

Input files

CPEG3 element load tests:


ecg3sfd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, *TEMPERATURE.

CPEG3H element load tests:


ecg3shd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, *TEMPERATURE.

CPEG4 element load tests:


ecg4sfd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPEG4H element load tests:


ecg4shd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPEG4I element load tests:


ecg4sid1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPEG4IH element load tests:


ecg4sjd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPEG4R element load tests:


ecg4srd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPEG4RH element load tests:


ecg4syd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPEG6 element load tests:


ecg6sfd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, *TEMPERATURE.

CPEG6H element load tests:


ecg6shd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, *TEMPERATURE.

CPEG6M element load tests:


ecg6skd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, *TEMPERATURE.

CPEG6MH element load tests:


ecg6sld1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, *TEMPERATURE.

CPEG8 element load tests:


ecg8sfd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPEG8H element load tests:


ecg8shd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPEG8R element load tests:


ecg8srd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPEG8RH element load tests:


ecg8syd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPE3 element load tests:


ece3sfd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, *TEMPERATURE.

CPE3H element load tests:


ece3shd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, *TEMPERATURE.

CPE4 element load tests:


ece4sfd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPE4H element load tests:


ece4shd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPE4I element load tests:


ece4sid1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPE4IH element load tests:


ece4sjd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPE4R element load tests:


ece4srd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPE4RH element load tests:


ece4syd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPE6 element load tests:


ece6sfd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, *TEMPERATURE.

CPE6H element load tests:


ece6shd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, *TEMPERATURE.

CPE6M element load tests:


ece6skd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, *TEMPERATURE.

CPE6MH element load tests:


ece6sld1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, *TEMPERATURE.

CPE8 element load tests:


ece8sfd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPE8H element load tests:


ece8shd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPE8R element load tests:


ece8srd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPE8RH element load tests:


ece8syd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPS3 element load tests:


ecs3sfd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, *TEMPERATURE.

CPS4 element load tests:


ecs4sfd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPS4I element load tests:


ecs4sid1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPS4R element load tests:


ecs4srd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPS6 element load tests:


ecs6sfd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, *TEMPERATURE.

CPS6M element load tests:


ecs6skd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, *TEMPERATURE.

CPS8 element load tests:


ecs8sfd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

CPS8R element load tests:


ecs8srd1.inp

BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, *TEMPERATURE.

II. Axisymmetric solid elements

Problem description

Model:

Planar dimensions3 × 3
Centrifugal axis of rotation(0, 1, 0) through origin
Gravitational load vector(0, –1, 0)

Material:

Young's modulus3 × 106
Poisson's ratio0.3
Density5 × 10–5

Initial conditions:

Hydrostatic pressure datum3.0
Hydrostatic pressure elevation0.0

Results and discussion

The calculated reactions are in agreement with the applied loads.

Input files

CAX3 element load tests:


eca3sfd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3.

CAX3H element load tests:


eca3shd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3.

CAX4 element load tests:


eca4sfd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.

CAX4H element load tests:


eca4shd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.

CAX4I element load tests:


eca4sid1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.

CAX4IH element load tests:


eca4sjd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.

CAX4R element load tests:


eca4srd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.

CAX4RH element load tests:


eca4syd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.

CAX6 element load tests:


eca6sfd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3.

CAX6H element load tests:


eca6shd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3.

CAX6M element load tests:


eca6skd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3.

CAX6MH element load tests:


eca6sld1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3.

CAX8 element load tests:


eca8sfd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.

CAX8H element load tests:


eca8shd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.

CAX8R element load tests:


eca8srd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.

CAX8RH element load tests:


eca8syd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.

III. Three-dimensional solids

Problem description

Model:

Cubic dimensions7 × 7 × 7
Centrifugal and Coriolis axes of rotation(0, 1, 0) through (–1000, 3.5, –3.5)
Gravitational load vector(1, 0, 0)

Material:

Young's modulus3 × 106
Poisson's ratio0.3
Coefficient of thermal expansion.0001
Density10.0

Initial conditions:

Initial temperatureALL, –10.0
Initial velocityALL, 1, 10.0
(Coriolis loading)ALL, 2, 5.0
Hydrostatic pressure datum0.0
Hydrostatic pressure elevation–7.0

Results and discussion

The calculated reactions are in agreement with the applied loads.

Input files

C3D4 element load tests:


ec34sfd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, HP1, HP2, HP3, HP4, *TEMPERATURE.

C3D4H element load tests:


ec34shd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, HP1, HP2, HP3, HP4, *TEMPERATURE.

C3D5 element load tests:


ec35sfd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, *TEMPERATURE.

ec35sfd5.inp

F4 and F5.

C3D5H element load tests:


ec35shd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, *TEMPERATURE.

ec35shd5.inp

F4 and F5.

C3D6 element load tests:


ec36sfd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, *TEMPERATURE.

C3D6H element load tests:


ec36shd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, *TEMPERATURE.

C3D8 element load tests:


ec38sfd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

C3D8S element load tests:


c3d8s_loads.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

C3D8HS element load tests:


c3d8hs_loads.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

C3D8H element load tests:


ec38shd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

C3D8I element load tests:


ec38sid1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

C3D8IH element load tests:


ec38sjd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

C3D8R element load tests:


ec38srd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

C3D8RH element load tests:


ec38syd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

C3D10 element load tests:


ec3asfd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, HP1, HP2, HP3, HP4, *TEMPERATURE.

C3D10H element load tests:


ec3ashd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, HP1, HP2, HP3, HP4, *TEMPERATURE.

C3D10HS element load tests:


ec3asid1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, HP1, HP2, HP3, HP4, *TEMPERATURE.

C3D10M element load tests:


ec3askd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, HP1, HP2, HP3, HP4, *TEMPERATURE.

C3D10MH element load tests:


ec3asld1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, HP1, HP2, HP3, HP4, *TEMPERATURE.

C3D15 element load tests:


ec3fsfd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, *TEMPERATURE.

C3D15H element load tests:


ec3fshd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, *TEMPERATURE.

C3D20 element tests:


ec3ksfd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

C3D20H element load tests:


ec3kshd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

C3D20R element load tests:


ec3ksrd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

C3D20RH element load tests:


ec3ksyd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

IV. Three-dimensional variable number of node solids

Problem description

Model:

Cubic dimensions7 × 7 × 7
Centrifugal and Coriolis axes of rotation(0, 1, 0) through (–1000, 3.5, –3.5)
Gravitational load vector(1, 0, 0)

Material:

Young's modulus3 × 106
Poisson's ratio0.3
Coefficient of thermal expansion.0001
Density10.0

Initial conditions:

Initial temperatureALL, –10.0
Initial velocityALL, 1, 10.0
(Coriolis loading)ALL, 2, 5.0
Hydrostatic pressure datum0.0
Hydrostatic pressure elevation–7.0

Results and discussion

The calculated reactions are in agreement with the applied loads.

Input files

C3D15V element load tests:


ec3isfd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, *TEMPERATURE.

C3D15VH element load tests:


ec3ishd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, *TEMPERATURE.

C3D27 element load tests:


ec3rsfd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

C3D27H element load tests:


ec3rshd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

C3D27R element load tests:


ec3rshd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

C3D27RH element load tests:


ec3rsyd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

V. Axisymmetric solid elements with twist

Problem description

Model:

Planar dimensions3 × 3
Centrifugal axis of rotation(0, 1, 0) through origin
Gravitational load vector(0, –1, 0)

Material:

Young's modulus3 × 106
Poisson's ratio0.3
Density5 × 10–5

Initial conditions:

Hydrostatic pressure datum3.0
Hydrostatic pressure elevation0.0

Results and discussion

The calculated reactions are in agreement with the applied loads.

Input files

CGAX3 element load tests:


eca3gfd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3.

CGAX3H element load tests:


eca3ghd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3.

CGAX4 element load tests:


eca4gfd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.

CGAX4H element load tests:


eca4ghd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.

CGAX4R element load tests:


eca4grd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.

CGAX4RH element load tests:


eca4gyd1.inp

BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.

CGAX6 element load tests:


eca6gfd1.inp

BR, BZ, CENT, CENTRIF, GRAV, P1, P2, P3, HP1, HP2, HP3.

CGAX6H element load tests:


eca6ghd1.inp

BR, BZ, CENT, CENTRIF, GRAV, P1, P2, P3, HP1, HP2, HP3.

CGAX6M element load tests:


eca6gkd1.inp

BR, BZ, CENT, CENTRIF, GRAV, P1, P2, P3, HP1, HP2, HP3.

CGAX6MH element load tests:


eca6gld1.inp

BR, BZ, CENT, CENTRIF, GRAV, P1, P2, P3, HP1, HP2, HP3.

CGAX8 element load tests:


eca8gfd1.inp

BR, BZ, CENT, CENTRIF, GRAV, P1, P2, P3, P4, HP1, HP2, HP3, HP4.

CGAX8H element load tests:


eca8ghd1.inp

BR, BZ, CENT, CENTRIF, GRAV, P1, P2, P3, P4, HP1, HP2, HP3, HP4.

CGAX8R element load tests:


eca8grd1.inp

BR, BZ, CENT, CENTRIF, GRAV, P1, P2, P3, P4, HP1, HP2, HP3, HP4.

CGAX8RH element load tests:


eca8gyd1.inp

BR, BZ, CENT, CENTRIF, GRAV, P1, P2, P3, P4, HP1, HP2, HP3, HP4.

VI. Axisymmetric solid elements with nonlinear asymmetric deformation

Problem description

Model:

Circular cross-section pipe with the global z-axis as the pipe axis.


Length1.0
Outer radius1.0
Wall thickness0.5

Material:

Young's modulus30 × 106
Poisson's ratio0.3
Coefficient of thermal expansion.00001

Initial conditions:

Hydrostatic pressure datum1E6
Hydrostatic pressure elevation0

Results and discussion

The calculated reactions are in agreement with the applied loads.

Input files

All the elements are tested with the following loads: BZ, HP1, HP2, HP3, HP4, P1, P2, P3, and P4.

Axisymmetric element tests

ecnssfd1.inp

CAXA41 element.

ecnsshd1.inp

CAXA4H1 element.

ecnssrd1.inp

CAXA4R1 element.

ecnssyd1.inp

CAXA4RH1 element.

ecntsfd1.inp

CAXA42 element.

ecntshd1.inp

CAXA4H2 element.

ecntsrd1.inp

CAXA4R2 element.

ecntsyd1.inp

CAXA4RH2 element.

ecnusfd1.inp

CAXA43 element.

ecnushd1.inp

CAXA4H3 element.

ecnusrd1.inp

CAXA4R3 element.

ecnusyd1.inp

CAXA4RH3 element.

ecnvsfd1.inp

CAXA44 element.

ecnvshd1.inp

CAXA4H4 element.

ecnvsrd1.inp

CAXA4R4 element.

ecnvsyd1.inp

CAXA4RH4 element.

ecnwsfd1.inp

CAXA81 element.

ecnwshd1.inp

CAXA8H1 element.

ecnwsrd1.inp

CAXA8R1 element.

ecnwsyd1.inp

CAXA8RH1 element.

ecnxsfd1.inp

CAXA82 element.

ecnxshd1.inp

CAXA8H2 element.

ecnxsrd1.inp

CAXA8R2 element.

ecnxsyd1.inp

CAXA8RH2 element.

ecnysfd1.inp

CAXA83 element.

ecnyshd1.inp

CAXA8H3 element.

ecnysrd1.inp

CAXA8R3 element.

ecnysyd1.inp

CAXA8RH3 element.

ecnzsfd1.inp

CAXA84 element.

ecnzshd1.inp

CAXA8H4 element.

ecnzsrd1.inp

CAXA8R4 element.

ecnzsyd1.inp

CAXA8RH4 element.

VII. Cylindrical solid elements

Problem description

Model:

Planar dimensions3 × 3
Inner radius1
Circumferential extent180°
Centrifugal and Coriolis axes of rotation(0, 0, 1) through origin
Gravitational load vector(0, 0, 1)

Material:

Young's modulus3 × 106
Poisson's ratio0.3
Coefficient of thermal expansion.0001
Density10.0

Initial conditions:

Initial temperatureALL, –10.0
Initial velocity (Coriolis loading)ALL, 1, 5.0
Hydrostatic pressure datum3.0
Hydrostatic pressure elevation0.0

Results and discussion

The calculated reactions are in agreement with the applied loads.

Input files

CCL9 element load tests:


ecc9gfd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, *TEMPERATURE.

ecc9gfd2.inp

F1, F2, F3, F4, F5.

ecc9gfda.inp

CORIO, ROTA.

CCL9H element load tests:


ecc9ghd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, *TEMPERATURE.

ecc9ghd2.inp

F1, F2, F3, F4, F5.

ecc9ghda.inp

CORIO, ROTA.

CCL12 element load tests:


eccigfd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

ecccgfd2.inp

F1, F2, F3, F4, F5, F6.

ecccgfda.inp

CORIO, ROTA.

CCL12H element load tests:


eccighd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

ecccghd2.inp

F1, F2, F3, F4, F5, F6.

ecccghda.inp

CORIO, ROTA.

CCL18 element load tests:


eccigfd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, *TEMPERATURE.

eccigfd2.inp

F1, F2, F3, F4, F5.

eccigfda.inp

CORIO, ROTA.

CCL18H element load tests:


eccighd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, *TEMPERATURE.

eccighd2.inp

F1, F2, F3, F4, F5.

eccighda.inp

CORIO, ROTA.

CCL24 element load tests:


eccrgfd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

eccrgfd2.inp

F1, F2, F3, F4, F5, F6.

eccrgfda.inp

CORIO, ROTA.

CCL24H element load tests:


eccrghd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

eccrghd2.inp

F1, F2, F3, F4, F5, F6.

eccrghda.inp

CORIO, ROTA.

CCL24R element load tests:


eccrgrd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

eccrgrd2.inp

F1, F2, F3, F4, F5, F6.

eccrgrda.inp

CORIO, ROTA.

CCL24RH element load tests:


eccrgyd1.inp

BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, *TEMPERATURE.

eccrgyd2.inp

F1, F2, F3, F4, F5, F6.

eccrgyda.inp

CORIO, ROTA.

VIII. Field expansion tests

Problem description

Model:

This section lists a number of simple tests that verify the field expansion capability. In most cases a single element or a small assembly of elements is loaded using the field expansion capability.

Material:

Most tests use a linear elastic material model. There are a few tests that use a hyperelastic material model. In all cases a field expansion coefficient is defined and is associated with at least one, and in some cases more than one, predefined field variable.

Initial conditions:

In all cases the initial value of all relevant field variables is assumed to be zero at all the nodes.

Results and discussion

The results for loading based on field expansion match those obtained from a similar model using thermal expansion.

Input files

fieldexp_cpe4.inp

CPE4 element using a linear elastic material model and loaded with both field and thermal expansion.

fieldexp_cps4.inp

CPS4 element using a linear elastic material and loaded with both field and thermal expansion.

fieldexp_c3d8.inp

C3D8 element using a linear elastic material and loaded with both field and thermal expansion.

hyper-field-expand.inp

C3D8 element using a hyperelastic material loaded with field expansion driven by a single field variable. Tests nonlinear static, static perturbation, and buckle procedures.

hyper-thermfield-expand.inp

C3D8S element using a hyperelastic material loaded with both field and thermal expansion. The field expansion is driven by a single field variable. Tests nonlinear static, static perturbation, and buckle procedures.

hyper-twofield-expand.inp

C3D8 element using a hyperelastic material loaded with field expansion driven by two different field variables. Tests nonlinear static, static perturbation, and buckle procedures.