Eigenvalue extraction for single unconstrained elements

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

The following topics are discussed:

Elements tested
Problem description
Results and discussion
Input files

ProductsAbaqus/Standard

Elements tested

Acoustic elements, beams, cohesive elements, elbows, membranes, pipes, shells, trusses, continuum elements (except coupled pore pressure-displacement and coupled temperature-displacement elements), piezoelectric elements, springs, and masses.

Problem description

The models consist of a single element. There are no boundary conditions, except as required in spring-mass (see SPRING, MASS, and JOINT2D elements) and piezoelectric tests. For the piezoelectric element tests one electric potential degree of freedom is constrained to remove singularities from the dielectric portion of the structural stiffness.

Note:

There are no mass terms associated with potential degrees of freedom.

Results and discussion

The results presented in Table 1 through Table 7 show the number of zero-energy modes and the first nonzero eigenvalue. Some elements have nonrigid-body zero-energy modes. Where two values are given in the zero-energy modes column, the first is the number of zero-energy modes and the second is the number of rigid-body zero-energy modes. When an assembly of elements is tested, as in Eigenvalue extraction for unconstrained patches of elements, the nonrigid-body zero-energy modes disappear. The eigenvalue is shown only for purposes of comparison. Elements with quadrilateral geometry can be degenerated to triangular shape; these results are denoted by “(triangle)” in the tables. Results for the piezoelectric elements are reported for Step 2.

Table 1. Acoustic elements.
Element	Number of zero-	First nonzero
type	energy modes	eigenvalue
AC1D2	1	1.509 × 10⁸
AC1D3	1	4.527 × 10⁸
AC2D3	1	1.122 × 10⁸
AC2D4 (triangle)	1	1.122 × 10⁸
AC2D4	1	9.971 × 10⁷
AC2D6	1	4.116 × 10⁸
AC2D8 (triangle)	1	4.077 × 10⁸
AC2D8	1	4.447 × 10⁸
AC3D4	1	1.482 × 10⁸
AC3D5	1	9.94 × 10⁷
AC3D6	1	4.447 × 10⁸
AC3D8	1	3.743 × 10⁷
AC3D10	1	5.775 × 10⁸
AC3D15	1	4.447 × 10⁸
AC3D20	1	1.132 × 10⁸
ACAX3	1	1.218 × 10⁸
ACAX4 (triangle)	1	1.218 × 10⁸
ACAX4	1	9.331 × 10⁷
ACAX6	1	4.887 × 10⁸
ACAX8 (triangle)	1	4.870 × 10⁸
ACAX8	1	4.527 × 10⁸

Table 2. Beam elements.
Element	Number of zero-	First nonzero
type	energy modes	eigenvalue
B21	3	1.675 × 10⁹
B21H	3	1.675 × 10⁹
B22	3	4.621 × 10⁹
B22H	3	4.621 × 10⁹
B23	3	1.379 × 10¹⁰
B23H	3	1.379 × 10¹⁰
B31	6	3.127 × 10⁹
B31H	6	3.127 × 10⁹
B31OS	6	8.534 × 10⁷
B31OSH	6	8.534 × 10⁷
B32	6	7.170 × 10⁹
B32H	6	7.170 × 10⁹
B32OS	6	2.050 × 10⁸
B32OSH	6	2.050 × 10⁸
B33	6	1.714 × 10¹⁰
B33H	6	1.714 × 10¹⁰

Table 3. Cohesive elements.
Element	Number of zero-	First nonzero
type	Energy modes	eigenvalue
COH2D4	5/3	1.0256 × 10⁶
COHAX4	5/1	1.0256 × 10⁶
COH3D6	12/6	1.2820 × 10⁵
COH3D8	16/6	5.1282 × 10⁵

Table 4. Elbow and pipe elements.
Element	Number of zero-	First nonzero
type	energy modes	eigenvalue
ELBOW31	6	5.481 × 10⁷
ELBOW31B	6	3.230 × 10⁵
ELBOW31C	6	3.230 × 10⁵
ELBOW32	6	1.065 × 10⁸
PIPE21	3	1.675 × 10⁹
PIPE21H	3	1.675 × 10⁹
PIPE22	3	4.621 × 10⁹
PIPE22H	3	4.621 × 10⁹
PIPE31	6	3.127 × 10⁹
PIPE31H	6	3.127 × 10⁹
PIPE32	6	9.321 × 10⁹
PIPE32H	6	9.321 × 10⁹

The membrane elements have no bending stiffness, which accounts for the high number of nonrigid-body zero-energy modes.

Table 5. Membrane elements.
Element	Number of zero-	First nonzero
type	energy modes	eigenvalue
M3D3	6	2.350 × 10⁸
M3D4	7	1.615 × 10⁸
M3D4R	7	3.140 × 10⁵
M3D6	9	3.622 × 10⁸
M3D8	11	7.274 × 10⁸
M3D8R	12	7.274 × 10⁸
M3D9	12	7.274 × 10⁸
M3D9R	13	5.225 × 10⁸
MAX1	2	1.231 × 10⁹
MAX2	2	1.535 × 10⁹
MCL6	9	7.582 × 10⁹
MCL9	9	6.313 × 10⁸

Table 6. Shell elements.
Element	Number of zero-	First nonzero
type	energy modes	eigenvalue
S3/S3R	6	1.985 × 10⁶
S4	6	3.071 × 10⁶
S4R	6	3.071 × 10⁶
S4R5	6	3.074 × 10⁶
S8R	8/6	3.073 × 10⁵
S8R5	7/6	1.165 × 10⁴
S9R5	7/6	1.165 × 10⁴
STRI3	6	7.189 × 10⁷
STRI65	6	3.049 × 10⁵
SAXA11	4/3	1.228 × 10⁵
SAXA12	5/3	1.229 × 10⁵
SAXA13	6/3	1.229 × 10⁵
SAXA14	7/3	1.229 × 10⁵
SAXA21	3	2.636 × 10⁶
SAXA22	3	4.075 × 10⁵
SAXA23	3	4.075 × 10⁵
SAXA24	3	4.075 × 10⁵
SAX1	2/1	1.231 × 10⁹
SAX2	1	2.636 × 10⁶
SC6R	6	1.942 × 10⁸
SC8R	6	1.942 × 10⁸

Table 7. Truss elements.
Element	Number of zero-	First nonzero
type	energy modes	eigenvalue
T2D2	3	1.143 × 10¹⁰
T2D2H	3	1.143 × 10¹⁰
T2D3	4/3	3.429 × 10¹⁰
T2D3H	4/3	3.429 × 10¹⁰
T3D2	5	1.143 × 10¹⁰
T3D2H	5	1.143 × 10¹⁰
T3D3	7/6	3.429 × 10¹⁰
T3D3H	7/6	3.429 × 10¹⁰

Table 8. Two-dimensional continuum elements.
Element	Number of zero-	First nonzero
type	energy modes	eigenvalue
CPE3	3	2.488 × 10⁸
CPE3H	3	2.488 × 10⁸
CPE4	3	8.373 × 10⁷
CPE4H	3	8.373 × 10⁷
CPE4I	3	1.196 × 10⁸
CPE4IH	3	1.196 × 10⁸
CPE4R	3	3.140 × 10⁵
CPE4RH	3	3.140 × 10⁵
CPE6	3	3.868 × 10⁸
CPE6H	3	3.868 × 10⁸
CPE6M	3	1.289 × 10⁸
CPE6MH	3	1.289 × 10⁸
CPE8	3	7.535 × 10⁸
CPE8H	3	5.024 × 10⁸
CPE8R	4/3	7.535 × 10⁸
CPE8RH	4/3	7.535 × 10⁸
CPEG3	5/3	4.662 × 10⁸
CPEG3H	5/3	4.662 × 10⁸
CPEG4	5/3	8.373 × 10⁷
CPEG4H	5/3	8.373 × 10⁷
CPEG4I	3	1.086 × 10⁸
CPEG4IH	3	1.086 × 10⁸
CPEG4R	5/3	3.140 × 10⁵
CPEG4RH	5/3	3.140 × 10⁵
CPEG6	3	3.599 × 10⁸
CPEG6H	3	3.599 × 10⁸
CPEG8	3	7.168 × 10⁸
CPEG8H	3	5.024 × 10⁸
CPEG8R	4/3	7.168 × 10⁸
CPEG8RH	4/3	7.168 × 10⁸
CPS3	3	2.350 × 10⁸
CPS4	3	1.615 × 10⁸
CPS4I	3	1.088 × 10⁸
CPS4R	3	3.140 × 10⁵
CPS6	3	3.622 × 10⁸
CPS6M	3	1.206 × 10⁸
CPS8	3	7.274 × 10⁸
CPS8R	4/3	7.274 × 10⁸

Table 9. Axisymmetric continuum elements.
Element	Number of zero-	First nonzero
type	energy modes	eigenvalue
CAXA41	4/3	2.015 × 10⁸
CAXA42	4/3	4.887 × 10⁷
CAXA43	4/3	4.887 × 10⁷
CAXA44	4/3	4.887 × 10⁷
CAXA4H1	4/3	2.015 × 10⁸
CAXA4H2	4/3	4.887 × 10⁷
CAXA4H3	4/3	4.887 × 10⁷
CAXA4H4	4/3	4.887 × 10⁷
CAXA4R1	5/3	9.615 × 10⁶
CAXA4R2	8/3	9.615 × 10⁶
CAXA4R3	11/3	9.615 × 10⁶
CAXA4R4	14/3	9.615 × 10⁶
CAXA4RH1	5/3	9.615 × 10⁶
CAXA4RH2	8/3	9.615 × 10⁶
CAXA4RH3	11/3	9.615 × 10⁶
CAXA4RH4	14/3	9.615 × 10⁶
CAXA81	3	2.437 × 10⁸
CAXA82	3	8.526 × 10⁷
CAXA83	3	8.526 × 10⁷
CAXA84	3	8.526 × 10⁷
CAXA8H1	3	2.156 × 10⁸
CAXA8H2	3	8.461 × 10⁷
CAXA8H3	3	8.461 × 10⁷
CAXA8H4	3	8.461 × 10⁷
CAXA8R1	5/3	2.405 × 10⁸
CAXA8R2	6/3	8.457 × 10⁷
CAXA8R3	7/3	8.457 × 10⁷
CAXA8R4	8/3	8.457 × 10⁷
CAXA8RH1	5/3	2.099 × 10⁸
CAXA8RH2	6/3	8.384 × 10⁷
CAXA8RH3	7/3	8.384 × 10⁷
CAXA8RH4	8/3	8.348 × 10⁷
CAX3	2/1	7.402 × 10⁸
CAX3H	2/1	7.402 × 10⁸
CAX4	2/1	1.022 × 10⁹
CAX4H	2/1	1.022 × 10⁹
CAX4R	2/1	1.011 × 10⁷
CAX4RH	2/1	1.011 × 10⁷
CAX4I	1	7.711 × 10⁷
CAX4IH	1	7.456 × 10⁷
CAX6	1	1.448 × 10⁸
CAX6H	1	1.448 × 10⁸
CAX6M	1	8.949 × 10⁷
CAX6MH	1	8.949 × 10⁷
CAX8	1	2.437 × 10⁸
CAX8H	1	2.156 × 10⁸
CAX8R	2/1	2.405 × 10⁸
CAX8RH	2/1	2.099 × 10⁸

Table 10. Three-dimensional continuum elements.
Element	Number of zero-	First nonzero
type	energy modes	eigenvalue
C3D10	6	4.500 × 10⁹
C3D10H	6	4.500 × 10⁹
C3D10HS	6	4.500 × 10⁹
C3D10M	6	7.486 × 10⁷
C3D10MH	6	7.486 × 10⁷
C3D15	6	1.695 × 10⁹
C3D15H	6	1.967 × 10⁹
C3D15V	6	1.084 × 10⁹
C3D15VH	6	1.379 × 10⁸
C3D20	6	3.436 × 10⁸
C3D20H	6	2.213 × 10⁸
C3D20R	12/6	3.768 × 10⁸
C3D20RH	12/6	4.082 × 10³
C3D27 (21 nodes)	6	3.768 × 10⁸
C3D27 (22 nodes)	6	3.768 × 10⁸
C3D27 (23 nodes)	6	3.768 × 10⁸
C3D27 (24 nodes)	6	3.768 × 10⁸
C3D27 (25 nodes)	6	3.768 × 10⁸
C3D27 (26 nodes)	6	3.768 × 10⁸
C3D27 (27 nodes)	6	3.768 × 10⁸
C3D27H (21 nodes)	6	2.213 × 10⁸
C3D27H (22 nodes)	6	2.213 × 10⁸
C3D27H (23 nodes)	6	2.213 × 10⁸
C3D27H (24 nodes)	6	2.213 × 10⁸
C3D27H (25 nodes)	6	2.213 × 10⁸
C3D27H (26 nodes)	6	2.213 × 10⁸
C3D27H (27 nodes)	6	2.213 × 10⁸
C3D27R (21 nodes)	6	3.768 × 10⁸
C3D27R (22 nodes)	6	3.768 × 10⁸
C3D27R (23 nodes)	6	3.768 × 10⁸
C3D27R (24 nodes)	6	3.128 × 10⁸
C3D27R (25 nodes)	6	1.558 × 10⁸
C3D27R (26 nodes)	6	1.236 × 10⁸
C3D27R (27 nodes)	9/6	2.007 × 10⁸
C3D27RH (21 nodes)	6	2.213 × 10⁸
C3D27RH (22 nodes)	6	2.032 × 10⁸
C3D27RH (23 nodes)	6	1.467 × 10⁸
C3D27RH (24 nodes)	6	1.022 × 10⁸
C3D27RH (25 nodes)	6	2.767 × 10⁷
C3D27RH (26 nodes)	6	2.509 × 10⁷
C3D27RH (27 nodes)	9/6	3.069 × 10⁷
C3D4	6	3.623 × 10⁹
C3D4H	6	3.623 × 10⁹
C3D5	6	2.026 × 10¹²
C3D5H	6	1.936 × 10¹²
C3D6	7/6	3.846 × 10⁸
C3D6H	7/6	3.472 × 10⁸
C3D8	6	4.186 × 10⁷
C3D8H	6	4.186 × 10⁷
C3D8I	6	4.186 × 10⁷
C3D8IH	6	4.186 × 10⁷
C3D8R	6	1.184 × 10⁶
C3D8RH	6	1.184 × 10⁶
CCL9	9/6	1.410 × 10⁵
CCL9H	9/6	1.0572
CCL12	6	3.1502 × 10⁸
CCL12H	6	3.1502 × 10⁸
CCL18	6	1.089 × 10¹⁰
CCL18H	6	4.449 × 10⁸
CCL24	6	3.767 × 10⁹
CCL24R	9/6	3.394 × 10⁹
CCL24H	6	2.213 × 10⁹
CCL24RH	9/6	1.214 × 10⁹
CSS8	6	4.186 × 10⁷

Table 11. Piezoelectric elements.
Element	Number of zero-	First nonzero
type	energy modes	eigenvalue
C3D10E	6	4.825 × 10⁹
C3D15E	6	1.695 × 10⁹
C3D20E	6	3.768 × 10⁸
C3D20RE	12/6	3.768 × 10⁸
C3D4E	6	6.092 × 10⁹
C3D6E	7/6	3.846 × 10⁸
C3D8E	6	4.186 × 10⁷
CAX3E	2/1	8.828 × 10⁸
CAX4E	2/1	1.169 × 10⁹
CAX6E	1	1.604 × 10⁸
CAX8E	1	2.556 × 10⁸
CAX8RE	2/1	2.522 × 10⁸
CPE3E	3	6.567 × 10⁸
CPE4E	3	8.373 × 10⁷
CPE6E	3	6.006 × 10⁸
CPE8E	3	8.246 × 10⁸
CPE8RE	4/3	8.246 × 10⁸
CPS3E	3	5.024 × 10⁸
CPS4E	3	1.615 × 10⁸
CPS6E	3	5.265 × 10⁸
CPS8E	3	7.797 × 10⁸
CPS8RE	4/3	7.797 × 10⁸
T2D2E	3	1.476 × 10¹³
T2D3E	4/3	1.714 × 10¹¹
T3D2E	5	1.476 × 10¹³
T3D3E	7/6	1.714 × 10¹¹

SPRING, MASS, and JOINT2D elements

The models for the eigenvalue extraction tests for SPRING and MASS element types are slightly more complex than the tests for the other elements.

Elements of type SPRINGA and MASS are tested together in files exspame1.inp and exspame2.inp. Three nodes lie along a straight line. One of the nodes is constrained, and each of the other two nodes defines a point mass. SPRINGA elements are defined between each of the three possible pairs of nodes. The spring-mass system acts in degree of freedom 1.

File exspbue1.inp tests element types SPRING1 and SPRING2 with a mass matrix defined by a user element. Two coincident nodes are defined. These two nodes are used in the definition of the user element. A SPRING2 element connects the nodes, and each node is also connected to a SPRING1 element. No boundary conditions are required since, by definition, the other ends of the SPRING1 elements are connected to ground. The spring-mass system acts in degree of freedom 1.

Results for both tests: $ω_{1}$ =0.6340, $ω_{2}$ =2.3660.

File exepxme1.inp tests element type JOINT2D. One node of the JOINT2D element is fully constrained, and the other has MASS and ROTARYI elements applied to create a spring-mass system. The natural frequencies and modes correspond to analytically calculated values.

Input files

Acoustic elements

ec12afe1.inp: AC1D2 elements.
ec13afe1.inp: AC1D3 elements.
ec23afe1.inp: AC2D3 elements.
ec24afe1t.inp: AC2D4 elements (triangle).
ec24afe1.inp: AC2D4 elements.
ec26afe1.inp: AC2D6 elements.
ec28afe1t.inp: AC2D8 elements (triangle).
ec28afe1.inp: AC2D8 elements.
ec34afe1.inp: AC3D4 elements.
ec35afe1.inp: AC3D5 elements.
ec36afe1.inp: AC3D6 elements.
ec38afe1.inp: AC3D8 elements.
ec3aafe1.inp: AC3D10 elements.
ec3fafe1.inp: AC3D15 elements.
ec3kafe1.inp: AC3D20 elements.
ec34afe1_ams.inp: AC3D4 elements, Abaqus/AMS.
ec36afe1_ams.inp: AC3D6 elements, Abaqus/AMS.
ec38afe1_ams.inp: AC3D8 elements, Abaqus/AMS.
ec3aafe1_ams.inp: AC3D10 elements, Abaqus/AMS.
ec3fafe1_ams.inp: AC3D15 elements, Abaqus/AMS.
ec3kafe1.inp: AC3D20 elements, Abaqus/AMS.
eca3afe1.inp: ACAX3 elements.
eca4afe1t.inp: ACAX4 elements (triangle).
eca4afe1.inp: ACAX4 elements.
eca6afe1.inp: ACAX6 elements.
eca8afe1t.inp: ACAX8 elements (triangle).
eca8afe1.inp: ACAX8 elements.
eca3afe1_ams.inp: ACAX3 elements, Abaqus/AMS.
eca4afe1t_ams.inp: ACAX4 elements (triangle).
eca4afe1_ams.inp: ACAX4 elements, Abaqus/AMS.
eca6afe1_ams.inp: ACAX6 elements, Abaqus/AMS.
eca8afe1t_ams.inp: ACAX8 elements (triangle), Abaqus/AMS.
eca8afe1_ams.inp: ACAX8 elements, Abaqus/AMS.

Beam elements

eb22pxe1.inp: B21 elements.
eb2hpxe1.inp: B21H elements.
eb23pxe1.inp: B22 elements.
eb2ipxe1.inp: B22H elements.
eb2apxe1.inp: B23 elements.
eb2jpxe1.inp: B23H elements.
eb32pxe1.inp: B31 elements.
eb3hpxe1.inp: B31H elements.
ebo2ixe1.inp: B31OS elements.
ebohixe1.inp: B31OSH elements.
eb33pxe1.inp: B32 elements.
eb3ipxe1.inp: B32H elements.
ebo3ixe1.inp: B32OS elements.
eboiixe1.inp: B32OSH elements.
eb3apxe1.inp: B33 elements.
eb3jpxe1.inp: B33H elements.

Cohesive elements

coh2d4_eig.inp: COH2D4 elements.
cohax4_eig.inp: COHAX4 elements.
coh3d6_eig.inp: COH3D6 elements.
coh3d8_eig.inp: COH3D8 elements.

Elbow and pipe elements

exel1xe1.inp: ELBOW31 elements.
exelbxe1.inp: ELBOW31B elements.
exelcxe1.inp: ELBOW31C elements.
exel2xe1.inp: ELBOW32 elements.
ep22pxe1.inp: PIPE21 elements.
ep2hpxe1.inp: PIPE21H elements.
ep23pxe1.inp: PIPE22 elements.
ep2ipxe1.inp: PIPE22H elements.
ep32pxe1.inp: PIPE31 elements.
ep3hpxe1.inp: PIPE31H elements.
ep33pxe1.inp: PIPE32 elements.
ep3ipxe1.inp: PIPE32H elements.

Membrane elements

em33sfe1.inp: M3D3 elements.
em34sfe1.inp: M3D4 elements.
em34sre1.inp: M3D4R elements.
em36sfe1.inp: M3D6 elements.
em38sfe1.inp: M3D8 elements.
em38sre1.inp: M3D8R elements.
em39sfe1.inp: M3D9 elements.
em39sre1.inp: M3D9R elements.
ema2sre1.inp: MAX1 elements.
ema3sre1.inp: MAX2 elements.
emc6sre1.inp: MCL6 elements.
emc9sre1.inp: MCL9 elements.

Shell elements

esf3sxe1.inp: S3/S3R elements.
ese4sxe1.inp: S4 elements.
esf4sxe1.inp: S4R elements.
es54sxe1.inp: S4R5 elements.
es68sxe1.inp: S8R elements.
es58sxe1.inp: S8R5 elements.
es59sxe1.inp: S9R5 elements.
es63sxe1.inp: STRI3 elements.
es56sxe1.inp: STRI65 elements.
esnssxe1.inp: SAXA11 elements.
esntsxe1.inp: SAXA12 elements.
esnusxe1.inp: SAXA13 elements.
esnvsxe1.inp: SAXA14 elements.
esnwsxe1.inp: SAXA21 elements.
esnxsxe1.inp: SAXA22 elements.
esnysxe1.inp: SAXA23 elements.
esnzsxe1.inp: SAXA24 elements.
esa2sxe1.inp: SAX1 elements.
esa3sxe1.inp: SAX2 elements.
esc6sxe1.inp: SC6R elements.
esc8sxe1.inp: SC8R elements.

Truss elements

et22sfe1.inp: T2D2 elements.
et22she1.inp: T2D2H elements.
et23sfe1.inp: T2D3 elements.
et23she1.inp: T2D3H elements.
et32sfe1.inp: T3D2 elements.
et32she1.inp: T3D2H elements.
et33sfe1.inp: T3D3 elements.
et33she1.inp: T3D3H elements.

Two-dimensional continuum elements

ece3sfe1.inp: CPE3 elements.
ece3she1.inp: CPE3H elements.
ece4sfe1.inp: CPE4 elements.
ece4she1.inp: CPE4H elements.
ece4sie1.inp: CPE4I elements.
ece4sje1.inp: CPE4IH elements.
ece4sre1.inp: CPE4R elements.
ece4sye1.inp: CPE4RH elements.
ece6sfe1.inp: CPE6 elements.
ece6she1.inp: CPE6H elements.
ece6ske1.inp: CPE6M elements.
ece6sle1.inp: CPE6MH elements.
ece8sfe1.inp: CPE8 elements.
ece8she1.inp: CPE8H elements.
ece8sre1.inp: CPE8R elements.
ece8sye1.inp: CPE8RH elements.
ecg3sfe1.inp: CPEG3 elements.
ecg3she1.inp: CPEG3H elements.
ecg4sfe1.inp: CPEG4 elements.
ecg4she1.inp: CPEG4H elements.
ecg4sie1.inp: CPEG4I elements.
ecg4sje1.inp: CPEG4IH elements.
ecg4sre1.inp: CPEG4R elements.
ecg4sye1.inp: CPEG4RH elements.
ecg6sfe1.inp: CPEG6 elements.
ecg6she1.inp: CPEG6H elements.
ecg8sfe1.inp: CPEG8 elements.
ecg8she1.inp: CPEG8H elements.
ecg8sre1.inp: CPEG8R elements.
ecg8sye1.inp: CPEG8RH elements.
ecs3sfe1.inp: CPS3 elements.
ecs4sfe1.inp: CPS4 elements.
ecs4sie1.inp: CPS4I elements.
ecs4sre1.inp: CPS4R elements.
ecs6sfe1.inp: CPS6 elements.
ecs6ske1.inp: CPS6M elements.
ecs8sfe1.inp: CPS8 elements.
ecs8sre1.inp: CPS8R elements.

Axisymmetric continuum elements

ecnssfe1.inp: CAXA41 elements.
ecntsfe1.inp: CAXA42 elements.
ecnusfe1.inp: CAXA43 elements.
ecnvsfe1.inp: CAXA44 elements.
ecnsshe1.inp: CAXA4H1 elements.
ecntshe1.inp: CAXA4H2 elements.
ecnushe1.inp: CAXA4H3 elements.
ecnvshe1.inp: CAXA4H4 elements.
ecnssre1.inp: CAXA4R1 elements.
ecntsre1.inp: CAXA4R2 elements.
ecnusre1.inp: CAXA4R3 elements.
ecnvsre1.inp: CAXA4R4 elements.
ecnssye1.inp: CAXA4RH1 elements.
ecntsye1.inp: CAXA4RH2 elements.
ecnusye1.inp: CAXA4RH3 elements.
ecnvsye1.inp: CAXA4RH4 elements.
ecnwsfe1.inp: CAXA81 elements.
ecnxsfe1.inp: CAXA82 elements.
ecnysfe1.inp: CAXA83 elements.
ecnzsfe1.inp: CAXA84 elements.
ecnwshe1.inp: CAXA8H1 elements.
ecnxshe1.inp: CAXA8H2 elements.
ecnyshe1.inp: CAXA8H3 elements.
ecnzshe1.inp: CAXA8H4 elements.
ecnwsre1.inp: CAXA8R1 elements.
ecnxsre1.inp: CAXA8R2 elements.
ecnysre1.inp: CAXA8R3 elements.
ecnzsre1.inp: CAXA8R4 elements.
ecnwsye1.inp: CAXA8RH1 elements.
ecnxsye1.inp: CAXA8RH2 elements.
ecnysye1.inp: CAXA8RH3 elements.
ecnzsye1.inp: CAXA8RH4 elements.
eca3sfe1.inp: CAX3 elements.
eca3she1.inp: CAX3H elements.
eca4sfe1.inp: CAX4 elements.
eca4she1.inp: CAX4H elements.
eca4sie1.inp: CAX4I elements.
eca4sje1.inp: CAX4IH elements.
eca4sre1.inp: CAX4R elements.
eca4sye1.inp: CAX4RH elements.
eca6sfe1.inp: CAX6 elements.
eca6she1.inp: CAX6H elements.
eca6ske1.inp: CAX6M elements.
eca6sle1.inp: CAX6MH elements.
eca8sfe1.inp: CAX8 elements.
eca8she1.inp: CAX8H elements.
eca8sre1.inp: CAX8R elements.
eca8sye1.inp: CAX8RH elements.

Three-dimensional continuum elements

ec3asfe1.inp: C3D10 elements.
ec3ashe1.inp: C3D10H elements.
ec3asie1.inp: C3D10HS elements.
ec3aske1.inp: C3D10M elements.
ec3asle1.inp: C3D10MH elements.
ec3fsfe1.inp: C3D15 elements.
ec3fshe1.inp: C3D15H elements.
ec3isfe1.inp: C3D15V elements.
ec3ishe1.inp: C3D15VH elements.
ec3ksfe1.inp: C3D20 elements.
ec3kshe1.inp: C3D20H elements.
ec3ksre1.inp: C3D20R elements.
ec3ksye1.inp: C3D20RH elements.
ec3rsfea.inp: C3D27 elements, 21 nodes.
ec3rsfeb.inp: C3D27 elements, 22 nodes.
ec3rsfec.inp: C3D27 elements, 23 nodes.
ec3rsfed.inp: C3D27 elements, 24 nodes.
ec3rsfee.inp: C3D27 elements, 25 nodes.
ec3rsfef.inp: C3D27 elements, 26 nodes.
ec3rsfeg.inp: C3D27 elements, 27 nodes.
ec3rshea.inp: C3D27H elements, 21 nodes.
ec3rsheb.inp: C3D27H elements, 22 nodes.
ec3rshec.inp: C3D27H elements, 23 nodes.
ec3rshed.inp: C3D27H elements, 24 nodes.
ec3rshee.inp: C3D27H elements, 25 nodes.
ec3rshef.inp: C3D27H elements, 26 nodes.
ec3rsheg.inp: C3D27H elements, 27 nodes.
ec3rsrea.inp: C3D27R elements, 21 nodes.
ec3rsreb.inp: C3D27R elements, 22 nodes.
ec3rsrec.inp: C3D27R elements, 23 nodes.
ec3rsred.inp: C3D27R elements, 24 nodes.
ec3rsree.inp: C3D27R elements, 25 nodes.
ec3rsref.inp: C3D27R elements, 26 nodes.
ec3rsreg.inp: C3D27R elements, 27 nodes.
ec3rsyea.inp: C3D27RH elements, 21 nodes.
ec3rsyeb.inp: C3D27RH elements, 22 nodes.
ec3rsyec.inp: C3D27RH elements, 23 nodes.
ec3rsyed.inp: C3D27RH elements, 24 nodes.
ec3rsyee.inp: C3D27RH elements, 25 nodes.
ec3rsyef.inp: C3D27RH elements, 26 nodes.
ec3rsyeg.inp: C3D27RH elements, 27 nodes.
ec34sfe1.inp: C3D4 elements.
ec34she1.inp: C3D4H elements.
ec35sfe1.inp: C3D5 elements.
ec35she1.inp: C3D5H elements.
ec36sfe1.inp: C3D6 elements.
ec36she1.inp: C3D6H elements.
ec38sfe1.inp: C3D8 elements.
ec38she1.inp: C3D8H elements.
ec38sie1.inp: C3D8I elements.
ec38sje1.inp: C3D8IH elements.
ec38sre1.inp: C3D8R elements.
ec38sye1.inp: C3D8RH elements.
ecc9gfe1.inp: CCL9 elements.
ecc9ghe1.inp: CCL9H elements.
ecccgfe1.inp: CCL12 elements.
ecccghe1.inp: CCL12H elements.
eccigfe1.inp: CCL18 elements.
eccighe1.inp: CCL18H elements.
eccrgfe1.inp: CCL24 elements.
eccrgre1.inp: CCL24R elements.
eccrghe1.inp: CCL24H elements.
eccrgye1.inp: CCL24RH elements.
ecss8sie1.inp: CSS8 elements.

Piezoelectric elements

ec3aefe1.inp: C3D10E elements.
ec3fefe1.inp: C3D15E elements.
ec3kefe1.inp: C3D20E elements.
ec3kere1.inp: C3D20RE elements.
ec34efe1.inp: C3D4E elements.
ec36efe1.inp: C3D6E elements.
ec38efe1.inp: C3D8E elements.
eca3efe1.inp: CAX3E elements.
eca4efe1.inp: CAX4E elements.
eca6efe1.inp: CAX6E elements.
eca8efe1.inp: CAX8E elements.
eca8ere1.inp: CAX8RE elements.
ece3efe1.inp: CPE3E elements.
ece4efe1.inp: CPE4E elements.
ece6efe1.inp: CPE6E elements.
ece8efe1.inp: CPE8E elements.
ece8ere1.inp: CPE8RE elements.
ecs3efe1.inp: CPS3E elements.
ecs4efe1.inp: CPS4E elements.
ecs6efe1.inp: CPS6E elements.
ecs8efe1.inp: CPS8E elements.
ecs8ere1.inp: CPS8RE elements.
et22efe1.inp: T2D2E elements.
et23efe1.inp: T2D3E elements.
et32efe1.inp: T3D2E elements.
et33efe1.inp: T3D3E elements.

Spring, mass, and joint elements

exepxme1.inp: JOINT2D elements.
exspame1.inp: SPRINGA and MASS elements.
exspame2.inp: SPRINGA and MASS elements with anisotropic mass.
exspbue1.inp: SPRING1 and SPRING2 elements.