# 28.1.4 THREE-DIMENSIONAL SOLID ELEMENT LIBRARY Products: Abaqus/Standard Abaqus/Explicit Abaqus/CAE # References • “Solid (continuum) elements,” Section 28.1.1 • \*SOLID SECTION # Overview This section provides a reference to the three-dimensional solid elements available in Abaqus/Standard and Abaqus/Explicit. # Element types Stress/displacement elements
C3D44-node linear tetrahedron
C3D4H(S)4-node linear tetrahedron, hybrid with linear pressure
C3D5(S)5-node linear pyramid
C3D5H(S)5-node linear pyramid, hybrid with constant pressure
C3D6(S)6-node linear triangular prism
C3D6(E)6-node linear triangular prism, reduced integration with hourglass control
C3D6H(S)6-node linear triangular prism, hybrid with constant pressure
C3D88-node linear brick
C3D8H(S)8-node linear brick, hybrid with constant pressure
C3D8I8-node linear brick, incompatible modes
C3D8IH(S)8-node linear brick, incompatible modes, hybrid with linear pressure
C3D8R8-node linear brick, reduced integration with hourglass control
C3D8RH(S)8-node linear brick, reduced integration with hourglass control, hybrid with constant pressure
C3D8S(S)8-node linear brick, improved surface stress visualization
C3D8HS(S)8-node linear brick, hybrid with constant pressure, improved surface stress visualization
C3D10(S)10-node quadratic tetrahedron
C3D10H(S)10-node quadratic tetrahedron, hybrid with constant pressure
C3D10HS(S)10-node general-purpose quadratic tetrahedron, improved surface stress visualization
C3D10M10-node modified tetrahedron, with hourglass control
C3D10MH(S)10-node modified tetrahedron, with hourglass control, hybrid with linear pressure
C3D15(S)15-node quadratic triangular prism
C3D15H(S)15-node quadratic triangular prism, hybrid with linear pressure
C3D20(S)20-node quadratic brick
C3D20H(S)20-node quadratic brick, hybrid with linear pressure
C3D20R(S)20-node quadratic brick, reduced integration
C3D20RH(S)20-node quadratic brick, reduced integration, hybrid with linear pressure
Active degrees of freedom 1, 2, 3 Additional solution variables The constant pressure hybrid elements have one additional variable relating to pressure, and the linear pressure hybrid elements have four additional variables relating to pressure. Element types C3D8I and C3D8IH have thirteen additional variables relating to the incompatible modes. Element types C3D10M and C3D10MH have three additional displacement variables. Stress/displacement variable node elements
C3D15V(S)15 to 18-node triangular prism
C3D15VH(S)15 to 18-node triangular prism, hybrid with linear pressure
C3D27(S)21 to 27-node brick
C3D27H(S)21 to 27-node brick, hybrid with linear pressure
C3D27R(S)21 to 27-node brick, reduced integration
C3D27RH(S)21 to 27-node brick, reduced integration, hybrid with linear pressure
Active degrees of freedom 1, 2, 3 Additional solution variables The hybrid elements have four additional variables relating to pressure. Coupled temperature-displacement elements
C3D4T4-node linear displacement and temperature
C3D6T(S)6-node linear displacement and temperature
C3D6T(E)6-node linear displacement and temperature, reduced integration with hourglass control
C3D6HT(S)6-node linear displacement and temperature, hybrid with constant pressure
C3D8T8-node trilinear displacement and temperature
C3D8HT(S)8-node trilinear displacement and temperature, hybrid with constant pressure
C3D8RT8-node trilinear displacement and temperature, reduced integration with hourglass control
C3D8RHT(S)8-node trilinear displacement and temperature, reduced integration with hourglass control, hybrid with constant pressure
C3D10T(S)10-node triquadratic displacement, trilinear temperature
C3D10HT(S)10-node triquadratic displacement, trilinear temperature, hybrid with constant pressure
C3D10MT10-node modified displacement and temperature tetrahedron, with hourglass control
C3D10MHT(S)10-node modified displacement and temperature tetrahedron, with hourglass control, hybrid with linear pressure
C3D20T(S)20-node triquadratic displacement, trilinear temperature
C3D20HT(S)20-node triquadratic displacement, trilinear temperature, hybrid with linear pressure
C3D20RT(S)20-node triquadratic displacement, trilinear temperature, reduced integration
C3D20RHT(S)20-node triquadratic displacement, trilinear temperature, reduced integration, hybrid with linear pressure
# Active degrees of freedom 1, 2, 3, 11 at corner nodes 1, 2, 3 at midside nodes of second-order elements in Abaqus/Standard 1, 2, 3, 11 at midside nodes of modified displacement and temperature elements in Abaqus/Standard # Additional solution variables The constant pressure hybrid element has one additional variable relating to pressure, and the linear pressure hybrid elements have four additional variables relating to pressure. Element types C3D10MT and C3D10MHT have three additional displacement variables and one additional temperature variable. # Coupled thermal-electrical-structural elements
Q3D4(S)4-node linear displacement, electric potential and temperature
Q3D6(S)6-node linear displacement, electric potential and temperature
Q3D8(S)8-node trilinear displacement, electric potential and temperature
Q3D8H(S)8-node trilinear displacement, electric potential and temperature, hybrid with constant pressure
Q3D8R(S)8-node trilinear displacement, electric potential and temperature, reduced integration with hourglass control
Q3D8RH(S)8-node trilinear displacement, electric potential and temperature, reduced integration with hourglass control, hybrid with constant pressure
Q3D10M(S)10-node modified displacement, electric potential and temperature tetrahedron, with hourglass control
Q3D10MH(S)10-node modified displacement, electric potential and temperature tetrahedron, with hourglass control, hybrid with linear pressure
Q3D20(S)20-node triquadratic displacement, trilinear electric potential and trilinear temperature
Q3D20H(S)20-node triquadratic displacement, trilinear electric potential, trilinear temperature, hybrid with linear pressure
Q3D20R(S)20-node triquadratic displacement, trilinear electric potential, trilinear temperature, reduced integration
Q3D20RH(S)20-node triquadratic displacement, trilinear electric potential, trilinear temperature, reduced integration, hybrid with linear pressure
# Active degrees of freedom 1, 2, 3, 9, 11 at corner nodes 1, 2, 3 at midside nodes of second-order elements in Abaqus/Standard 1, 2, 3, 9, 11 at midside nodes of modified displacement and temperature elements in Abaqus/Standard # Additional solution variables The constant pressure hybrid element has one additional variable relating to pressure, and the linear pressure hybrid elements have four additional variables relating to pressure. Element types Q3D10M and Q3D10MH have three additional displacement variables, one additional electric potential variable, and one additional temperature variable. # Diffusive heat transfer or mass diffusion elements
DC3D4(S)4-node linear tetrahedron
DC3D6(S)6-node linear triangular prism
DC3D8(S)8-node linear brick
DC3D10(S)10-node quadratic tetrahedron
DC3D15(S)15-node quadratic triangular prism
DC3D20(S)20-node quadratic brick
Active degree of freedom 11 Additional solution variables None. # Forced convection/diffusion elements DCC3D8(S) 8-node DCC3D8D(S) 8-node with dispersion control Active degree of freedom 11 Additional solution variables None. # Coupled thermal-electrical elements DC3D4E(S) 4-node linear tetrahedron DC3D6E(S) 6-node linear triangular prism DC3D8E(S) 8-node linear brick DC3D10E(S) 10-node quadratic tetrahedron DC3D15E(S) 15-node quadratic triangular prism DC3D20E(S) 20-node quadratic brick Active degrees of freedom 9, 11 Additional solution variables None. # Pore pressure elements C3D4P(S) 4-node linear displacement and pore pressure C3D4PH(S) 4-node linear displacement and pore pressure, hybrid with linear pressure C3D6P(S) 6-node linear displacement and pore pressure C3D6PH(S) 6-node linear displacement and pore pressure, hybrid with constant pressure C3D8P(S) 8-node trilinear displacement and pore pressure C3D8PH(S) 8-node trilinear displacement and pore pressure, hybrid with constant pressure C3D8RP(S) 8-node trilinear displacement and pore pressure, reduced integration
C3D8RPH(S)8-node trilinear displacement and pore pressure, reduced integration, hybrid with constant pressure
C3D10P(S)10-node triquadratic displacement, trilinear pore pressure
C3D10PH(S)10-node triquadratic displacement, trilinear pore pressure, hybrid with constant pressure
C3D10MP(S)10-node modified displacement and pore pressure tetrahedron, with hourglass control
C3D10MPH(S)10-node modified displacement and pore pressure tetrahedron, with hourglass control, hybrid with linear pressure
C3D20P(S)20-node triquadratic displacement, trilinear pore pressure
C3D20PH(S)20-node triquadratic displacement, trilinear pore pressure, hybrid with linear pressure
C3D20RP(S)20-node triquadratic displacement, trilinear pore pressure, reduced integration
C3D20RPH(S)20-node triquadratic displacement, trilinear pore pressure, reduced integration, hybrid with linear pressure
# Active degrees of freedom 1, 2, 3 at midside nodes for all elements except C3D10MP and C3D10MPH, which also have degree of freedom 8 active at midside nodes 1, 2, 3, 8 at corner nodes # Additional solution variables The constant pressure hybrid elements have one additional variable relating to the effective pressure stress, and the linear pressure hybrid elements have four additional variables relating to the effective pressure stress to permit fully incompressible material modeling. Element types C3D10MP and C3D10MPH have three additional displacement variables and one additional pore pressure variable. # Coupled temperature–pore pressure elements
C3D4PT(S)4-node trilinear displacement, pore pressure, and temperature
C3D4PHT(S)4-node trilinear displacement, pore pressure, and temperature; hybrid with linear pressure
C3D6PT(S)6-node trilinear displacement, pore pressure, and temperature
C3D6PHT(S)6-node trilinear displacement, pore pressure, and temperature; hybrid with constant pressure
C3D8PT(S)8-node trilinear displacement, pore pressure, and temperature
C3D8PHT(S)8-node trilinear displacement, pore pressure, and temperature; hybrid with constant pressure
C3D8RPT(S)8-node trilinear displacement, pore pressure, and temperature; reduced integration
C3D8RPHT(S)8-node trilinear displacement, pore pressure, and temperature; reduced integration, hybrid with constant pressure
C3D10MPT(S)10-node modified displacement, pore pressure, and temperature tetrahedron, with hourglass control
C3D10PT(S)10-node triquadratic displacement, trilinear pore pressure, and temperature
C3D10PHT(S)10-node triquadratic displacement, trilinear pore pressure, and temperature; hybrid with constant pressure
Active degrees of freedom 1, 2, 3, 8, 11 # Additional solution variables The constant pressure hybrid elements have one additional variable relating to the effective pressure stress to permit fully incompressible material modeling. Element type C3D10MPT has three additional displacement variables, one additional pore pressure variable, and one additional temperature variable. Acoustic elements
AC3D44-node linear tetrahedron
AC3D55-node linear pyramid
AC3D66-node linear triangular prism
AC3D8(S)8-node linear brick
AC3D8R(E)8-node linear brick, reduced integration with hourglass control
AC3D10(S)10-node quadratic tetrahedron
AC3D15(S)15-node quadratic triangular prism
AC3D20(S)20-node quadratic brick
Active degree of freedom 8 Additional solution variables None. Piezoelectric elements
C3D4E(S)4-node linear tetrahedron
C3D6E(S)6-node linear triangular prism
C3D8E(S)8-node linear brick
C3D10E(S)10-node quadratic tetrahedron
C3D15E(S)15-node quadratic triangular prism
C3D20E(S)20-node quadratic brick
C3D20RE(S)20-node quadratic brick, reduced integration
Active degrees of freedom 1, 2, 3, 9 Additional solution variables None. Electromagnetic elements
EMC3D4(S)4-node zero-order
EMC3D6(S)6-node zero-order
EMC3D8(S)8-node zero-order
Active degree of freedom Magnetic vector potential (for more information, see “Boundary conditions” in “Eddy current analysis,” Section 6.7.5, and “Boundary conditions” in “Magnetostatic analysis,” Section 6.7.6). Additional solution variables None. Nodal coordinates required X, Y, Z Element property definition
Input File Usage:*SOLID SECTION
Abaqus/CAE Usage:Property module: Create Section: select Solid as the section Category and Homogeneous or Electromagnetic, Solid as the section Type
Element-based loading # Distributed loads Distributed loads are available for all elements with displacement degrees of freedom. They are specified as described in “Distributed loads,” Section 34.4.3.
Load ID (*DLOAD)Abaqus/CAE Load/InteractionUnitsDescription
BXBody force $FL^{-3}$ Body force in global X-direction.
BYBody force $FL^{-3}$ Body force in global Y-direction.
BZBody force $FL^{-3}$ Body force in global Z-direction.
BXNUBody force $FL^{-3}$ Nonuniform body force in global X-direction with magnitude supplied via user subroutine DLOAD in Abaqus/Standard and VDLOAD in Abaqus/Explicit.
BYNUBody force $FL^{-3}$ Nonuniform body force in global Y-direction with magnitude supplied via user subroutine DLOAD in Abaqus/Standard and VDLOAD in Abaqus/Explicit.
BZNUBody force $FL^{-3}$ Nonuniform body force in global Z-direction with magnitude supplied via user subroutine DLOAD in Abaqus/Standard and VDLOAD in Abaqus/Explicit.
CENT(S)Not supported $FL^{-4}(ML^{-3}T^{-2})$ Centrifugal load (magnitude is input as $\rho\omega^{2}$ , where $\rho$ is the mass density per unit volume, $\omega$ is the angular velocity). Not available for pore pressure elements.
CENTRIF(S)Rotational body force $T^{-2}$ Centrifugal load (magnitude is input as $\omega^{2}$ , where $\omega$ is the angular velocity).
CORIO(S)Coriolis force $FL^{-4}T (ML^{-3}T^{-1})$ Coriolis force (magnitude is input as $\rho\omega$ , where $\rho$ is the mass density per unit volume, $\omega$ is the angular velocity). Not available for pore pressure elements.
GRAVGravity $LT^{-2}$ Gravity loading in a specified direction (magnitude is input as acceleration).
HPn(S)Not supported $FL^{-2}$ Hydrostatic pressure on face n, linear in global Z.
Load ID (*DLOAD)Abaqus/CAE Load/InteractionUnitsDescription
PnPressure $FL^{-2}$ Pressure on face n.
PnNUNot supported $FL^{-2}$ Nonuniform pressure on face n with magnitude supplied via user subroutine DLOAD in Abaqus/Standard and VDLOAD in Abaqus/Explicit.
$ROTA^{(S)}$ Rotational body force $T^{-2}$ Rotary acceleration load (magnitude is input as $\alpha$ , where $\alpha$ is the rotary acceleration).
$ROTDYNF^{(S)}$ Not supported $T^{-1}$ Rotordynamic load (magnitude is input as $\omega$ , where $\omega$ is the angular velocity).
$SBF^{(E)}$ Not supported $FL^{-5}T^{2}$ Stagnation body force in global X-, Y-, and Z-directions.
$SPn^{(E)}$ Not supported $FL^{-4}T^{2}$ Stagnation pressure on face n.
$TRSHRn$ Surface traction $FL^{-2}$ Shear traction on face n.
$TRSHRnNU^{(S)}$ Not supported $FL^{-2}$ Nonuniform shear traction on face n with magnitude and direction supplied via user subroutine UTRACLOAD.
$TRVECn$ Surface traction $FL^{-2}$ General traction on face n.
$TRVECnNU^{(S)}$ Not supported $FL^{-2}$ Nonuniform general traction on face n with magnitude and direction supplied via user subroutine UTRACLOAD.
$VBF^{(E)}$ Not supported $FL^{-4}T$ Viscous body force in global X-, Y-, and Z-directions.
$VPn^{(E)}$ Not supported $FL^{-3}T$ Viscous pressure on face n, applying a pressure proportional to the velocity normal to the face and opposing the motion.