Continuum stress/displacement elements

This problem contains basic test cases for one or more Abaqus elements and features.

This page discusses:

Plane stress, plane strain, and generalized plane strain elements
Axisymmetric solid elements
Three-dimensional solids
Three-dimensional variable number of node solids
Axisymmetric solid elements with twist
Axisymmetric solid elements with nonlinear asymmetric deformation
Cylindrical solid elements
Field expansion tests

ProductsAbaqus/Standard

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 dimensions	7 × 7
Thickness	1.0
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 modulus	3 × 10⁶
Poisson's ratio	0.3
Coefficient of thermal expansion	.0001
Density	5 × 10⁻⁵

Initial conditions


Initial temperature	ALL, −10.0
Initial velocity	ALL, 1, 10.0
(Coriolis loading)	ALL, 2, 5.0
Hydrostatic pressure datum	lower-order elements: 7.0
	higher-order elements: 3.0
Hydrostatic pressure elevation	0.0

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.
ecg3sfd2.inp: F1.
ecg3sfd3.inp: F2.
ecg3sfd4.inp: F3.
ecg3sfda.inp: CORIO.
ecg3sfdc.inp: CORIO.
ecg3sfdi.inp: HP, P, TEMPERATURE.
ecg3sfdr.inp: ROTA.

CPEG3H element load tests:

ecg3shd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, TEMPERATURE.
ecg3shd2.inp: F1.
ecg3shd3.inp: F2.
ecg3shd4.inp: F3.
ecg3shda.inp: CORIO.
ecg3shdi.inp: HP, P, TEMPERATURE.
ecg3shdr.inp: ROTA.

CPEG4 element load tests:

ecg4sfd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ecg4sfd2.inp: F1.
ecg4sfd3.inp: F2.
ecg4sfd4.inp: F3.
ecg4sfd5.inp: F4.
ecg4sfda.inp: CORIO.
ecg4sfdc.inp: CORIO.
ecg4sfdi.inp: HP, P, TEMPERATURE.
ecg4sfdr.inp: ROTA.

CPEG4H element load tests:

ecg4shd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ecg4shd2.inp: F1.
ecg4shd3.inp: F2.
ecg4shd4.inp: F3.
ecg4shd5.inp: F4.
ecg4shda.inp: CORIO.
ecg4shdi.inp: HP, P, TEMPERATURE.
ecg4shdr.inp: ROTA.

CPEG4I element load tests:

ecg4sid1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ecg4sid2.inp: F1.
ecg4sid3.inp: F2.
ecg4sid4.inp: F3.
ecg4sid5.inp: F4.
ecg4sida.inp: CORIO.
ecg4sidi.inp: HP, P, TEMPERATURE.
ecg4sidr.inp: ROTA.

CPEG4IH element load tests:

ecg4sjd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ecg4sjd2.inp: F1.
ecg4sjd3.inp: F2.
ecg4sjd4.inp: F3.
ecg4sjd5.inp: F4.
ecg4sjda.inp: CORIO.
ecg4sjdi.inp: HP, P, TEMPERATURE.
ecg4sjdr.inp: ROTA.

CPEG4R element load tests:

ecg4srd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ecg4srd2.inp: F1.
ecg4srd3.inp: F2.
ecg4srd4.inp: F3.
ecg4srd5.inp: F4.
ecg4srda.inp: CORIO.
ecg4srdi.inp: HP, P, TEMPERATURE.
ecg4srdr.inp: ROTA.

CPEG4RH element load tests:

ecg4syd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ecg4syd2.inp: F1.
ecg4syd3.inp: F2.
ecg4syd4.inp: F3.
ecg4syd5.inp: F4.
ecg4syda.inp: CORIO.
ecg4sydi.inp: HP, P, TEMPERATURE.
ecg4sydr.inp: ROTA.

CPEG6 element load tests:

ecg6sfd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, TEMPERATURE.
ecg6sfd2.inp: F1.
ecg6sfd3.inp: F2.
ecg6sfd4.inp: F3.
ecg6sfda.inp: CORIO.
ecg6sfdc.inp: CORIO.
ecg6sfdi.inp: HP, P, TEMPERATURE.
ecg6sfdr.inp: ROTA.

CPEG6H element load tests:

ecg6shd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, TEMPERATURE.
ecg6shd2.inp: F1.
ecg6shd3.inp: F2.
ecg6shd4.inp: F3.
ecg6shda.inp: CORIO.
ecg6shdi.inp: HP, P, TEMPERATURE.
ecg6shdr.inp: ROTA.

CPEG6M element load tests:

ecg6skd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, TEMPERATURE.
ecg6skd2.inp: F1.
ecg6skd3.inp: F2.
ecg6skd4.inp: F3.
ecg6skda.inp: CORIO.
ecg6skdc.inp: CORIO.
ecg6skdi.inp: HP, P, TEMPERATURE.
ecg6skdr.inp: ROTA.

CPEG6MH element load tests:

ecg6sld1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, TEMPERATURE.
ecg6sld2.inp: F1.
ecg6sld3.inp: F2.
ecg6sld4.inp: F3.
ecg6slda.inp: CORIO.
ecg6sldi.inp: HP, P, TEMPERATURE.
ecg6sldr.inp: ROTA.

CPEG8 element load tests:

ecg8sfd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ecg8sfd2.inp: F1.
ecg8sfd3.inp: F2.
ecg8sfd4.inp: F3.
ecg8sfd5.inp: F4.
ecg8sfda.inp: CORIO.
ecg8sfdc.inp: CORIO.
ecg8sfdi.inp: HP, P, TEMPERATURE.
ecg8sfdr.inp: ROTA.

CPEG8H element load tests:

ecg8shd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ecg8shd2.inp: F1.
ecg8shd3.inp: F2.
ecg8shd4.inp: F3.
ecg8shd5.inp: F4.
ecg8shda.inp: CORIO.
ecg8shdi.inp: HP, P, TEMPERATURE.
ecg8shdr.inp: ROTA.

CPEG8R element load tests:

ecg8srd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ecg8srd2.inp: F1.
ecg8srd3.inp: F2.
ecg8srd4.inp: F3.
ecg8srd5.inp: F4.
ecg8srda.inp: CORIO.
ecg8srdi.inp: HP, P, TEMPERATURE.
ecg8srdr.inp: ROTA.

CPEG8RH element load tests:

ecg8syd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ecg8syd2.inp: F1.
ecg8syd3.inp: F2.
ecg8syd4.inp: F3.
ecg8syd5.inp: F4.
ecg8syda.inp: CORIO.
ecg8sydi.inp: HP, P, TEMPERATURE.
ecg8sydr.inp: ROTA.

CPE3 element load tests:

ece3sfd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, TEMPERATURE.
ece3sfd2.inp: F1.
ece3sfd3.inp: F2.
ece3sfd4.inp: F3.
ece3sfda.inp: CORIO.
ece3sfdc.inp: CORIO.
ece3sfdi.inp: HP, P, TEMPERATURE.
ece3sfdr.inp: ROTA.

CPE3H element load tests:

ece3shd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, TEMPERATURE.
ece3shd2.inp: F1.
ece3shd3.inp: F2.
ece3shd4.inp: F3.
ece3shda.inp: CORIO.
ece3shdi.inp: HP, P, TEMPERATURE.
ece3shdr.inp: ROTA.

CPE4 element load tests:

ece4sfd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ece4sfd2.inp: F1.
ece4sfd3.inp: F2.
ece4sfd4.inp: F3.
ece4sfd5.inp: F4.
ece4sfda.inp: CORIO.
ece4sfdc.inp: CORIO.
ece4sfdg.inp: CORIO.
ece4sfdi.inp: HP, P, TEMPERATURE.
ece4sfdr.inp: ROTA.
ece4sfds.inp: CORIO.

CPE4H element load tests:

ece4shd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ece4shd2.inp: F1.
ece4shd3.inp: F2.
ece4shd4.inp: F3.
ece4shd5.inp: F4.
ece4shda.inp: CORIO.
ece4shdi.inp: HP, P, TEMPERATURE.
ece4shdr.inp: ROTA.

CPE4I element load tests:

ece4sid1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ece4sid2.inp: F1.
ece4sid3.inp: F2.
ece4sid4.inp: F3.
ece4sid5.inp: F4.
ece4sida.inp: CORIO.
ece4sidi.inp: HP, P, TEMPERATURE.
ece4sidr.inp: ROTA.

CPE4IH element load tests:

ece4sjd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ece4sjd2.inp: F1.
ece4sjd3.inp: F2.
ece4sjd4.inp: F3.
ece4sjd5.inp: F4.
ece4sjda.inp: CORIO.
ece4sjdi.inp: HP, P, TEMPERATURE.
ece4sjdr.inp: ROTA.

CPE4R element load tests:

ece4srd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ece4srd2.inp: F1.
ece4srd3.inp: F2.
ece4srd4.inp: F3.
ece4srd5.inp: F4.
ece4srda.inp: CORIO.
ece4srdi.inp: HP, P, TEMPERATURE.
ece4srdr.inp: ROTA.

CPE4RH element load tests:

ece4syd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ece4syd2.inp: F1.
ece4syd3.inp: F2.
ece4syd4.inp: F3.
ece4syd5.inp: F4.
ece4syda.inp: CORIO.
ece4sydi.inp: HP, P, TEMPERATURE.
ece4sydr.inp: ROTA.

CPE6 element load tests:

ece6sfd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, TEMPERATURE.
ece6sfd2.inp: F1.
ece6sfd3.inp: F2.
ece6sfd4.inp: F3.
ece6sfda.inp: CORIO.
ece6sfdc.inp: CORIO.
ece6sfdr.inp: ROTA.

CPE6H element load tests:

ece6shd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, TEMPERATURE.
ece6shd2.inp: F1.
ece6shd3.inp: F2.
ece6shd4.inp: F3.
ece6shda.inp: CORIO.
ece6shdr.inp: ROTA.

CPE6M element load tests:

ece6skd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, TEMPERATURE.
ece6skd2.inp: F1.
ece6skd3.inp: F2.
ece6skd4.inp: F3.
ece6skda.inp: CORIO.
ece6skdi.inp: HP, P, TEMPERATURE.
ece6skdr.inp: ROTA.

CPE6MH element load tests:

ece6sld1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, TEMPERATURE.
ece6sld2.inp: F1.
ece6sld3.inp: F2.
ece6sld4.inp: F3.
ece6slda.inp: CORIO.
ece6sldi.inp: HP, P, TEMPERATURE.
ece6sldr.inp: ROTA.

CPE8 element load tests:

ece8sfd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ece8sfd2.inp: F1.
ece8sfd3.inp: F2.
ece8sfd4.inp: F3.
ece8sfd5.inp: F4.
ece8sfda.inp: CORIO.
ece8sfdc.inp: CORIO.
ece8sfdi.inp: HP, P, TEMPERATURE.
ece8sfdr.inp: ROTA.

CPE8H element load tests:

ece8shd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ece8shd2.inp: F1.
ece8shd3.inp: F2.
ece8shd4.inp: F3.
ece8shd5.inp: F4.
ece8shda.inp: CORIO.
ece8shdi.inp: HP, P, TEMPERATURE.
ece8shdr.inp: ROTA.

CPE8R element load tests:

ece8srd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ece8srd2.inp: F1.
ece8srd3.inp: F2.
ece8srd4.inp: F3.
ece8srd5.inp: F4.
ece8srda.inp: CORIO.
ece8srdi.inp: HP, P, TEMPERATURE.
ece8srdr.inp: ROTA.

CPE8RH element load tests:

ece8syd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ece8syd2.inp: F1.
ece8syd3.inp: F2.
ece8syd4.inp: F3.
ece8syd5.inp: F4.
ece8syda.inp: CORIO.
ece8sydi.inp: HP, P, TEMPERATURE.
ece8sydr.inp: ROTA.

CPS3 element load tests:

ecs3sfd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, TEMPERATURE.
ecs3sfd2.inp: F1.
ecs3sfd3.inp: F2.
ecs3sfd4.inp: F3.
ecs3sfda.inp: CORIO.
ecs3sfdc.inp: CORIO.
ecs3sfdi.inp: HP, P, TEMPERATURE.

CPS4 element load tests:

ecs4sfd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ecs4sfd2.inp: F1.
ecs4sfd3.inp: F2.
ecs4sfd4.inp: F3.
ecs4sfd5.inp: F4.
ecs4sfda.inp: CORIO.
ecs4sfdc.inp: CORIO.
ecs4sfdi.inp: HP, P, TEMPERATURE.
ecs4sfdr.inp: ROTA.

CPS4I element load tests:

ecs4sid1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ecs4sid2.inp: F1.
ecs4sid3.inp: F2.
ecs4sid4.inp: F3.
ecs4sid5.inp: F4.
ecs4sida.inp: CORIO.
ecs4sidi.inp: HP, P, TEMPERATURE.
ecs4sidr.inp: ROTA.

CPS4R element load tests:

ecs4srd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ecs4srd2.inp: F1.
ecs4srd3.inp: F2.
ecs4srd4.inp: F3.
ecs4srd5.inp: F4.
ecs4srda.inp: CORIO.
ecs4srdi.inp: HP, P, TEMPERATURE.

CPS6 element load tests:

ecs6sfd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, TEMPERATURE.
ecs6sfd2.inp: F1.
ecs6sfd3.inp: F2.
ecs6sfd4.inp: F3.
ecs6sfda.inp: CORIO.
ecs6sfdc.inp: CORIO.
ecs6sfdi.inp: HP, P, TEMPERATURE.
ecs6sfdr.inp: ROTA.

CPS6M element load tests:

ecs6skd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3, TEMPERATURE.
ecs6skd2.inp: F1.
ecs6skd3.inp: F2.
ecs6skd4.inp: F3.
ecs6skda.inp: CORIO.
ecs6skdi.inp: HP, P, TEMPERATURE.
ecs6skdr.inp: ROTA.

CPS8 element load tests:

ecs8sfd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ecs8sfd2.inp: F1.
ecs8sfd3.inp: F2.
ecs8sfd4.inp: F3.
ecs8sfd5.inp: F4.
ecs8sfda.inp: CORIO.
ecs8sfdc.inp: CORIO.
ecs8sfdi.inp: HP, P, TEMPERATURE.
ecs8sfdr.inp: ROTA.

CPS8R element load tests:

ecs8srd1.inp: BX, BY, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4, TEMPERATURE.
ecs8srd2.inp: F1.
ecs8srd3.inp: F2.
ecs8srd4.inp: F3.
ecs8srd5.inp: F4.
ecs8srda.inp: CORIO.
ecs8srdi.inp: HP, P, TEMPERATURE.
ecs8srdr.inp: ROTA.

Axisymmetric solid elements

Problem description

Model:


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

Material:


Young's modulus	3 × 10⁶
Poisson's ratio	0.3
Density	5 × 10⁻⁵

Initial conditions


Hydrostatic pressure datum	3.0
Hydrostatic pressure elevation	0.0

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.
eca3sfd2.inp: F1.
eca3sfd3.inp: F2.
eca3sfd4.inp: F3.
eca3sfdi.inp: HP, P.

CAX3H element load tests:

eca3shd1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3.
eca3shd2.inp: F1.
eca3shd3.inp: F2.
eca3shd4.inp: F3.

CAX4 element load tests:

eca4sfd1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.
eca4sfd2.inp: F1.
eca4sfd3.inp: F2.
eca4sfd4.inp: F3.
eca4sfd5.inp: F4.
eca4sfdi.inp: HP, P.

CAX4H element load tests:

eca4shd1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.
eca4shd2.inp: F1.
eca4shd3.inp: F2.
eca4shd4.inp: F3.
eca4shd5.inp: F4.
eca4shdi.inp: HP, P.

CAX4I element load tests:

eca4sid1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.
eca4sid2.inp: F1.
eca4sid3.inp: F2.
eca4sid4.inp: F3.
eca4sid5.inp: F4.
eca4sidi.inp: HP, P.

CAX4IH element load tests:

eca4sjd1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.
eca4sjd2.inp: F1.
eca4sjd3.inp: F2.
eca4sjd4.inp: F3.
eca4sjd5.inp: F4.
eca4sjdi.inp: HP, P.

CAX4R element load tests:

eca4srd1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.
eca4srd2.inp: F1.
eca4srd3.inp: F2.
eca4srd4.inp: F3.
eca4srd5.inp: F4.
eca4srdi.inp: HP, P.

CAX4RH element load tests:

eca4syd1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.
eca4syd2.inp: F1.
eca4syd3.inp: F2.
eca4syd4.inp: F3.
eca4syd5.inp: F4.
eca4sydi.inp: HP, P.

CAX6 element load tests:

eca6sfd1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3.
eca6sfd2.inp: F1.
eca6sfd3.inp: F2.
eca6sfd4.inp: F3.
eca6sfdi.inp: HP, P.

CAX6H element load tests:

eca6shd1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3.
eca6shd2.inp: F1.
eca6shd3.inp: F2.
eca6shd4.inp: F3.
eca6shdi.inp: HP, P.

CAX6M element load tests:

eca6skd1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3.
eca6skd2.inp: F1.
eca6skd3.inp: F2.
eca6skd4.inp: F3.
eca6skdi.inp: HP, P.

CAX6MH element load tests:

eca6sld1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3.
eca6sld2.inp: F1.
eca6sld3.inp: F2.
eca6sld4.inp: F3.
eca6sldi.inp: HP, P.

CAX8 element load tests:

eca8sfd1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.
eca8sfd2.inp: F1.
eca8sfd3.inp: F2.
eca8sfd4.inp: F3.
eca8sfd5.inp: F4.
eca8sfdi.inp: HP, P.

CAX8H element load tests:

eca8shd1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.
eca8shd2.inp: F1.
eca8shd3.inp: F2.
eca8shd4.inp: F3.
eca8shd5.inp: F4.
eca8shdi.inp: HP, P.

CAX8R element load tests:

eca8srd1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.
eca8srd2.inp: F1.
eca8srd3.inp: F2.
eca8srd4.inp: F3.
eca8srd5.inp: F4.
eca8srdi.inp: HP, P.

CAX8RH element load tests:

eca8syd1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.
eca8syd2.inp: F1.
eca8syd3.inp: F2.
eca8syd4.inp: F3.
eca8syd5.inp: F4.

Three-dimensional solids

Problem description

Model:


Cubic dimensions	7 × 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 modulus	3 × 10⁶
Poisson's ratio	0.3
Coefficient of thermal expansion	.0001
Density	10.0

Initial conditions


Initial temperature	ALL, −10.0
Initial velocity	ALL, 1, 10.0
(Coriolis loading)	ALL, 2, 5.0
Hydrostatic pressure datum	0.0
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.
ec34sfd2.inp: F1.
ec34sfd3.inp: F2.
ec34sfd4.inp: F3.
ec34sfd5.inp: F4.
ec34sfda.inp: CORIO.
ec34sfdc.inp: CORIO.
ec34sfdi.inp: HP, P, TEMPERATURE.
ec34sfdr.inp: ROTA.

C3D4H element load tests:

ec34shd1.inp: BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, HP1, HP2, HP3, HP4, TEMPERATURE.
ec34shd2.inp: F1.
ec34shd3.inp: F2.
ec34shd4.inp: F3.
ec34shd5.inp: F4.
ec34shda.inp: CORIO.
ec34shdr.inp: ROTA.

C3D5 element load tests:

ec35sfd1.inp: BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, TEMPERATURE.
ec35sfd2.inp: F1.
ec35sfd3.inp: F2.
ec35sfd4.inp: F3.
ec35sfd5.inp: F4 and F5.
ec35sfda.inp: CORIO.
ec35sfdc.inp: CORIO.
ec35sfdi.inp: HP, P, TEMPERATURE.
ec35sfdr.inp: ROTA.

C3D5H element load tests:

ec35shd1.inp: BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, TEMPERATURE.
ec35shd2.inp: F1.
ec35shd3.inp: F2.
ec35shd4.inp: F3.
ec35shd5.inp: F4 and F5.
ec35shda.inp: CORIO.
ec35shdc.inp: CORIO.
ec35shdi.inp: HP, P, TEMPERATURE.
ec35shdr.inp: ROTA.

C3D6 element load tests:

ec36sfd1.inp: BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, TEMPERATURE.
ec36sfd2.inp: F1.
ec36sfd3.inp: F2.
ec36sfd4.inp: F3.
ec36sfd5.inp: F4.
ec36sfd6.inp: F5.
ec36sfda.inp: CORIO.
ec36sfdc.inp: CORIO.
ec36sfdi.inp: HP, P, TEMPERATURE.
ec36sfdr.inp: ROTA.

C3D6H element load tests:

ec36shd1.inp: BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, TEMPERATURE.
ec36shd2.inp: F1.
ec36shd3.inp: F2.
ec36shd4.inp: F3.
ec36shd5.inp: F4.
ec36shd6.inp: F5.
ec36shda.inp: CORIO.
ec36shdi.inp: HP, P, TEMPERATURE.
ec36shdr.inp: ROTA.

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.
ec38sfd2.inp: F1.
ec38sfd3.inp: F2.
ec38sfd4.inp: F3.
ec38sfd5.inp: F4.
ec38sfd6.inp: F5.
ec38sfd7.inp: F6.
ec38sfda.inp: CORIO.
ec38sfdc.inp: CORIO.
ec38sfdi.inp: HP, P, TEMPERATURE.
ec38sfdr.inp: ROTA.

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.
c3d8s_dsloads.inp: HP, P, 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.
c3d8hs_dsloads.inp: HP, P, 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.
ec38shd2.inp: F1.
ec38shd3.inp: F2.
ec38shd4.inp: F3.
ec38shd5.inp: F4.
ec38shd6.inp: F5.
ec38shd7.inp: F6.
ec38shda.inp: CORIO.
ec38shdi.inp: HP, P, TEMPERATURE.
ec38shdr.inp: ROTA.

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.
ec38sid2.inp: F1.
ec38sid3.inp: F2.
ec38sid4.inp: F3.
ec38sid5.inp: F4.
ec38sid6.inp: F5.
ec38sid7.inp: F6.
ec38sida.inp: CORIO.
ec38sidi.inp: HP, P, TEMPERATURE.
ec38sidr.inp: ROTA.

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.
ec38sjd2.inp: F1.
ec38sjd3.inp: F2.
ec38sjd4.inp: F3.
ec38sjd5.inp: F4.
ec38sjd6.inp: F5.
ec38sjd7.inp: F6.
ec38sjda.inp: CORIO.
ec38sjdi.inp: HP, P, TEMPERATURE.
ec38sjdr.inp: ROTA.

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.
ec38srd2.inp: F1.
ec38srd3.inp: F2.
ec38srd4.inp: F3.
ec38srd5.inp: F4.
ec38srd6.inp: F5.
ec38srd7.inp: F6.
ec38srda.inp: CORIO.
ec38srdi.inp: HP, P, TEMPERATURE.
ec38srdr.inp: ROTA.

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.
ec38syd2.inp: F1.
ec38syd3.inp: F2.
ec38syd4.inp: F3.
ec38syd5.inp: F4.
ec38syd6.inp: F5.
ec38syd7.inp: F6.
ec38syda.inp: CORIO.
ec38sydi.inp: HP, P, TEMPERATURE.
ec38sydr.inp: ROTA.

C3D10 element load tests:

ec3asfd1.inp: BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, HP1, HP2, HP3, HP4, TEMPERATURE.
ec3asfd2.inp: F1.
ec3asfd3.inp: F2.
ec3asfd4.inp: F3.
ec3asfd5.inp: F4.
ec3asfda.inp: CORIO.
ec3asfdc.inp: CORIO.
ec3asfdr.inp: ROTA.

C3D10H element load tests:

ec3ashd1.inp: BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, HP1, HP2, HP3, HP4, TEMPERATURE.
ec3ashd2.inp: F1.
ec3ashd3.inp: F2.
ec3ashd4.inp: F3.
ec3ashd5.inp: F4.
ec3ashda.inp: CORIO.
ec3ashdr.inp: ROTA.

C3D10HS element load tests:

ec3asid1.inp: BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, HP1, HP2, HP3, HP4, TEMPERATURE.
ec3asid2.inp: F1.
ec3asid3.inp: F2.
ec3asid4.inp: F3.
ec3asid5.inp: F4.
ec3asida.inp: CORIO.
ec3asidc.inp: CORIO.
ec3asidr.inp: ROTA.

C3D10M element load tests:

ec3askd1.inp: BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, HP1, HP2, HP3, HP4, TEMPERATURE.
ec3askd2.inp: F1.
ec3askd3.inp: F2.
ec3askd4.inp: F3.
ec3askd5.inp: F4.
ec3askda.inp: CORIO.
ec3askdr.inp: ROTA.

C3D10MH element load tests:

ec3asld1.inp: BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, HP1, HP2, HP3, HP4, TEMPERATURE.
ec3asld2.inp: F1.
ec3asld3.inp: F2.
ec3asld4.inp: F3.
ec3asld5.inp: F4.
ec3aslda.inp: CORIO.
ec3asldr.inp: ROTA.

C3D15 element load tests:

ec3fsfd1.inp: BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, TEMPERATURE.
ec3fsfd2.inp: F1.
ec3fsfd3.inp: F2.
ec3fsfd4.inp: F3.
ec3fsfd5.inp: F4.
ec3fsfd6.inp: F5.
ec3fsfda.inp: CORIO.
ec3fsfdc.inp: CORIO.
ec3fsfdi.inp: HP, P, TEMPERATURE.
ec3fsfdr.inp: ROTA.

C3D15H element load tests:

ec3fshd1.inp: BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, TEMPERATURE.
ec3fshd2.inp: F1.
ec3fshd3.inp: F2.
ec3fshd4.inp: F3.
ec3fshd5.inp: F4.
ec3fshd6.inp: F5.
ec3fshda.inp: CORIO.
ec3fshdi.inp: HP, P, TEMPERATURE.
ec3fshdr.inp: ROTA.

C3D20 element tests:

ec3ksfd1.inp: BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, P6, HP1, HP2, HP3, HP4, HP5, HP6, TEMPERATURE.
ec3ksfd2.inp: F1.
ec3ksfd3.inp: F2.
ec3ksfd4.inp: F3.
ec3ksfd5.inp: F4.
ec3ksfd6.inp: F5.
ec3ksfd7.inp: F6.
ec3ksfda.inp: CORIO.
ec3ksfdc.inp: CORIO.
ec3ksfdi.inp: HP, P, TEMPERATURE.
ec3ksfdr.inp: ROTA.

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.
ec3kshd2.inp: F1.
ec3kshd3.inp: F2.
ec3kshd4.inp: F3.
ec3kshd5.inp: F4.
ec3kshd6.inp: F5.
ec3kshd7.inp: F6.
ec3kshda.inp: CORIO.
ec3kshdi.inp: HP, P, TEMPERATURE.
ec3kshdr.inp: ROTA.

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.
ec3ksrd2.inp: F1.
ec3ksrd3.inp: F2.
ec3ksrd4.inp: F3.
ec3ksrd5.inp: F4.
ec3ksrd6.inp: F5.
ec3ksrd7.inp: F6.
ec3ksrda.inp: CORIO.
ec3ksrdi.inp: HP, P, TEMPERATURE.
ec3ksrdr.inp: ROTA.

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.
ec3ksyd2.inp: F1.
ec3ksyd3.inp: F2.
ec3ksyd4.inp: F3.
ec3ksyd5.inp: F4.
ec3ksyd6.inp: F5.
ec3ksyd7.inp: F6.
ec3ksyda.inp: CORIO.
ec3ksydi.inp: HP, P, TEMPERATURE.
ec3ksydr.inp: ROTA.

Three-dimensional variable number of node solids

Problem description

Model:


Cubic dimensions	7 × 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 modulus	3 × 10⁶
Poisson's ratio	0.3
Coefficient of thermal expansion	.0001
Density	10.0

Initial conditions


Initial temperature	ALL, −10.0
Initial velocity	ALL, 1, 10.0
(Coriolis loading)	ALL, 2, 5.0
Hydrostatic pressure datum	0.0
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.
ec3isfd2.inp: F1.
ec3isfd3.inp: F2.
ec3isfd4.inp: F3.
ec3isfd5.inp: F4.
ec3isfd6.inp: F5.
ec3isfda.inp: CORIO.
ec3isfdi.inp: HP, P, TEMPERATURE.
ec3isfdr.inp: ROTA.

C3D15VH element load tests:

ec3ishd1.inp: BX, BY, BZ, GRAV, CENT, CENTRIF, P1, P2, P3, P4, P5, HP1, HP2, HP3, HP4, HP5, TEMPERATURE.
ec3ishd2.inp: F1.
ec3ishd3.inp: F2.
ec3ishd4.inp: F3.
ec3ishd5.inp: F4.
ec3ishd6.inp: F5.
ec3ishda.inp: CORIO.
ec3ishdi.inp: HP, P, TEMPERATURE.
ec3ishdr.inp: ROTA.

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.
ec3rsfd2.inp: F1.
ec3rsfd3.inp: F2.
ec3rsfd4.inp: F3.
ec3rsfd5.inp: F4.
ec3rsfd6.inp: F5.
ec3rsfd7.inp: F6.
ec3rsfda.inp: CORIO.
ec3rsfdc.inp: CORIO.
ec3rsfdi.inp: HP, P, TEMPERATURE.
ec3rsfdr.inp: ROTA.

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.
ec3rshd2.inp: F1.
ec3rshd3.inp: F2.
ec3rshd4.inp: F3.
ec3rshd5.inp: F4.
ec3rshd6.inp: F5.
ec3rshd7.inp: F6.
ec3rshda.inp: CORIO.
ec3rshdi.inp: HP, P, TEMPERATURE.
ec3rshdr.inp: ROTA.

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.
ec3rshd2.inp: F1.
ec3rshd3.inp: F2.
ec3rshd4.inp: F3.
ec3rshd5.inp: F4.
ec3rshd6.inp: F5.
ec3rshd7.inp: F6.
ec3rshda.inp: CORIO.
ec3rshdi.inp: HP, P, TEMPERATURE.
ec3rshdr.inp: ROTA.

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.
ec3rsyd2.inp: F1.
ec3rsyd3.inp: F2.
ec3rsyd4.inp: F3.
ec3rsyd5.inp: F4.
ec3rsyd6.inp: F5.
ec3rsyd7.inp: F6.
ec3rsyda.inp: CORIO.
ec3rsydi.inp: HP, P, TEMPERATURE.
ec3rsydr.inp: ROTA.

Axisymmetric solid elements with twist

Problem description

Model:


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

Material:


Young's modulus	3 × 10⁶
Poisson's ratio	0.3
Density	5 × 10⁻⁵

Initial conditions


Hydrostatic pressure datum	3.0
Hydrostatic pressure elevation	0.0

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.
eca3gfdi.inp: HP, P.

CGAX3H element load tests:

eca3ghd1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, P1, P2, P3.
eca3ghdi.inp: HP, P.

CGAX4 element load tests:

eca4gfd1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.
eca4gfdi.inp: HP, P.

CGAX4H element load tests:

eca4ghd1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.
eca4ghdi.inp: HP, P.

CGAX4R element load tests:

eca4grd1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.
eca4grdi.inp: HP, P.

CGAX4RH element load tests:

eca4gyd1.inp: BR, BZ, CENT, CENTRIF, GRAV, HP1, HP2, HP3, HP4, P1, P2, P3, P4.
eca4gydi.inp: HP, P.

CGAX6 element load tests:

eca6gfd1.inp: BR, BZ, CENT, CENTRIF, GRAV, P1, P2, P3, HP1, HP2, HP3.
eca6gfdi.inp: HP, P.

CGAX6H element load tests:

eca6ghd1.inp: BR, BZ, CENT, CENTRIF, GRAV, P1, P2, P3, HP1, HP2, HP3.
eca6ghdi.inp: HP, P.

CGAX6M element load tests:

eca6gkd1.inp: BR, BZ, CENT, CENTRIF, GRAV, P1, P2, P3, HP1, HP2, HP3.
eca6gkdi.inp: HP, P.

CGAX6MH element load tests:

eca6gld1.inp: BR, BZ, CENT, CENTRIF, GRAV, P1, P2, P3, HP1, HP2, HP3.
eca6gldi.inp: HP, P.

CGAX8 element load tests:

eca8gfd1.inp: BR, BZ, CENT, CENTRIF, GRAV, P1, P2, P3, P4, HP1, HP2, HP3, HP4.
eca8gfdi.inp: HP, P.

CGAX8H element load tests:

eca8ghd1.inp: BR, BZ, CENT, CENTRIF, GRAV, P1, P2, P3, P4, HP1, HP2, HP3, HP4.
eca8ghdi.inp: HP, P.

CGAX8R element load tests:

eca8grd1.inp: BR, BZ, CENT, CENTRIF, GRAV, P1, P2, P3, P4, HP1, HP2, HP3, HP4.
eca8grdi.inp: HP, P.

CGAX8RH element load tests:

eca8gyd1.inp: BR, BZ, CENT, CENTRIF, GRAV, P1, P2, P3, P4, HP1, HP2, HP3, HP4.
eca8gydi.inp: HP, P.

Axisymmetric solid elements with nonlinear asymmetric deformation

Problem description

Model:

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


Length	1.0
Outer radius	1.0
Wall thickness	0.5

Material:


Young's modulus	30 × 10⁶
Poisson's ratio	0.3
Coefficient of thermal expansion	.00001

Initial conditions


Hydrostatic pressure datum	1E6
Hydrostatic pressure elevation	0

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.

Cylindrical solid elements

Problem description

Model:


Planar dimensions	3 × 3
Inner radius	1
Circumferential extent	180°
Centrifugal and Coriolis axes of rotation	(0, 0, 1) through origin
Gravitational load vector	(0, 0, 1)

Material:


Young's modulus	3 × 10⁶
Poisson's ratio	0.3
Coefficient of thermal expansion	.0001
Density	10.0

Initial conditions


Initial temperature	ALL, −10.0
Initial velocity (Coriolis loading)	ALL, 1, 5.0
Hydrostatic pressure datum	3.0
Hydrostatic pressure elevation	0.0

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.
ecc9gfdi.inp: HP, P.

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.
ecc9ghdi.inp: HP, P.

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.
ecccgfdi.inp: HP, P.

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.
ecccghdi.inp: HP, P.

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.
eccigfdi.inp: HP, P.

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.
eccighdi.inp: HP, P.

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.
eccrgfdi.inp: HP, P.

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.
eccrghdi.inp: HP, P.

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.
eccrgrdi.inp: HP, P.

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.
eccrgydi.inp: HP, P.

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.