Pipe stress/displacement elements

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

This page discusses:

Distributed loads
Foundation types: FX, FY, FZ
Effective axial force with modal procedures

ProductsAbaqus/StandardAbaqus/Explicit

Distributed loads

Problem description

Internal pressures are applied to an effective diameter of 3.6, whereas external pressures are applied to an effective diameter of 4.0. The effective axial force output variable ESF1 is also tested.

Model:


Length	15.0
Pipe section data	r = 2.0, t = 0.2
Centrifugal axis of rotation	(0, 0, 1) through (7.5, 0, 0)
Gravity load vector	(0, 1, 0)

Material:


Young's modulus	3 × 10⁶
Poisson's ratio	0.3
Density	0.4188

Initial conditions


Initial temperature	ALL, −10.0
Initial velocity	ALL, 1, 10.0
(Coriolis loading)	ALL, 2, 5.0
Hydrostatic pressure datum	100.0
Hydrostatic pressure elevation	0.0

Results and discussion

The calculated reactions are in agreement with the applied loads.

Input files

PIPE21 element load tests:

ep22pxd1.inp: CENT, CENTRIF, P2, PI, PE, HPI, HPE, PX, PY, GRAV, CORIO, TEMPERATURE.
ep22pxd3.inp: F2.
ep22pxdr.inp: ROTA.

PIPE21H element load tests:

ep2hpxd1.inp: CENT, CENTRIF, P2, PI, PE, HPI, HPE, PX, PY, GRAV, CORIO, TEMPERATURE.
ep2hpxd3.inp: F2.
ep2hpxdr.inp: ROTA.

PIPE22 element load tests:

ep23pxd1.inp: CENT, CENTRIF, P2, PI, PE, HPI, HPE, PX, PY, GRAV, CORIO, TEMPERATURE.
ep23pxd3.inp: F2.
ep23pxdr.inp: ROTA.

PIPE22H element load tests:

ep2ipxd1.inp: CENT, CENTRIF, P2, PI, PE, HPI, HPE, PX, PY, GRAV, CORIO, TEMPERATURE.
ep2ipxd3.inp: F2.
ep2ipxdr.inp: ROTA.

PIPE31 element load tests:

ep32pxd1.inp: CENT, CENTRIF, P1, P2, PI, PE, HPI, HPE, PX, PY, PZ, GRAV, CORIO, TEMPERATURE.
ep32pxd2.inp: F1.
ep32pxd3.inp: F2, perturbation step with LOAD CASE.
ep32pxdr.inp: ROTA.

PIPE31H element load tests:

ep3hpxd1.inp: CENT, CENTRIF, P1, P2, PI, PE, HPI, HPE, PX, PY, PZ, GRAV, CORIO, TEMPERATURE.
ep3hpxd2.inp: F1.
ep3hpxd3.inp: F2.
ep3hpxdr.inp: ROTA.

PIPE32 element load tests:

ep33pxd1.inp: CENT, CENTRIF, P1, P2, PI, PE, HPI, HPE, PX, PY, PZ, GRAV, CORIO, TEMPERATURE.
ep33pxd2.inp: F1.
ep33pxd3.inp: F2.
ep33pxdr.inp: ROTA.

PIPE32H element load tests:

ep3ipxd1.inp: CENT, CENTRIF, P1, P2, PI, PE, HPI, HPE, PX, PY, PZ, GRAV, CORIO, TEMPERATURE.
ep3ipxd2.inp: F1.
ep3ipxd3.inp: F2.
ep3ipxdr.inp: ROTA.

PIPE21 element load tests in Abaqus/Explicit:

pipe21_load_options_xpl.inp: P2, PI, PE, HPI, HPE, PX, PY, GRAV, TEMPERATURE.

PIPE31 element load tests in Abaqus/Explicit:

pipe31_load_options_xpl.inp: P1, P2, PI, PE, HPI, HPE, PX, PY, PZ, GRAV, TEMPERATURE.

Foundation types: FX, FY, FZ

Problem description

Model:


Length	10 $\sqrt{2}$
Orientation	45° with horizontal axis
Pipe section data	r = 1.0, t = 0.05

Material:


Young's modulus	30 × 10⁶
Poisson's ratio	0.3

Results and discussion

The calculated reactions are in agreement with the applied loads.

Input files

ep22pxd9.inp: PIPE21: FX, FY.
ep2hpxd9.inp: PIPE21H: FX, FY.
ep23pxd9.inp: PIPE22: FX, FY.
ep2ipxd9.inp: PIPE22H: FX, FY.
ep32pxd9.inp: PIPE31: FX, FY, FZ.
ep3hpxd9.inp: PIPE31H: FX, FY, FZ.
ep33pxd9.inp: PIPE32: FX, FY, FZ.
ep3ipxd9.inp: PIPE32H: FX, FY, FZ.

Effective axial force with modal procedures

Elements tested

PIPE21

Problem description

Internal pressures are applied to an effective area of 1.0, while external pressures are applied to an effective area of 2.0. The effective axial force output variable ESF1 is also tested.

Model:


Length	100.0
Orientation	90° and 45° with horizontal axis
Pipe section data	r = 1.0, t = 0.25

Material:


Young's modulus	1 × 10⁶
Poisson's ratio	0.0
Density	1.0

Results and discussion

The effective axial force output, ESF1, agrees with the analytically determined values, which are documented at the top of the input file.

Input files

xesf1mod.inp: Input file for this analysis.