A summary of the Results that can be read is given in TableX.C.1 to X.C.10.
Result | Target | Tensor |
Name | Entities | Type |
“Coordinates” | N | V |
“Displacements, Translational” | N | V |
“Displacements, Rotational” | N | V |
“Displacements, Scalar” | N | S |
“Velocities, Translational” | N | V |
“Velocities, Rotational” | N | V |
“Velocities, Scalar” | N | S |
“Accelerations, Translational” | N | V |
“Accelerations, Rotational” | N | V |
“Accelerations, Scalar” | N | S |
“Applied Loads, Forces” | N | V |
“Applied Loads, Moments” | N | V |
“MPC Forces, Forces” | N | V |
“MPC Forces, Moments” | N | V |
“MPC Forces, Scalar” | N | S |
“SPC Forces, Forces” | N | V |
“SPC Forces, Moments” | N | V |
“SPC Forces, Scalar” | N | S |
“Reaction Forces, Forces” | N | V |
“Reaction Forces, Moments” | N | V |
“Reaction Forces, Scalar” | N | S |
“Contact, Contact Pressure” | N | S |
“Contact, Friction Stress” | N | S |
“Contact, Nodal Distance” | N | S |
“Contact, Normal Distance” | N | S |
“Temperature” | N | S |
“Temperature Variation Rate” | N | S |
Result | Target | Tensor |
Name | Entities | Type |
“Grid Point Forces, Internal Forces” | EN | V |
“Grid Point Forces, Internal Moments” | EN | V |
“Grid Point Forces, MPC Forces” | EN | V |
“Grid Point Forces, MPC Moments” | EN | V |
“Grid Point Forces, SPC Forces” | EN | V |
“Grid Point Forces, SPC Moments” | EN | V |
“Grid Point Forces, Applied Forces” | EN | V |
“Grid Point Forces, Applied Moments” | EN | V |
“Grid Point Forces, Reaction Forces” | EN | V |
“Grid Point Forces, Reaction Moments” | EN | V |
“Grid Point Forces, Total Forces” | EN | V |
“Grid Point Forces, Total Moments” | EN | V |
Result | Target | Tensor |
Name | Entities | Type |
“Mechanical Strain Tensor” (5) | E, EN, EL, ENL | T |
“Strain Tensor” (5) | E, EN, EL, ENL | T |
“Stress Tensor” | E, EN, EL, ENL | T |
“Effective Plastic Strain” (10) | E, EN, EL, ENL | S |
“Effective Creep Strain” (10) | E, EN, EL, ENL | S |
“Element Strain Energy” | E | S |
“Element Strain Energy (Density)” | E | S |
“Element Strain Energy (Percent of Total)” | E | S |
“Element Kinetic Energy” | E | S |
“Element Kinetic Energy (Density)” | E | S |
“Element Kinetic Energy (Percent of Total)” | E | S |
“Element Energy Loss” | E | S |
“Element Energy Loss (Density)” | E | S |
“Element Energy Loss (Percent of Total)” | E | S |
Result | Target | Tensor |
Name | Entities | Type |
“Beam Axial Strain for Axial Loads” (7) | E, EN | S |
“Beam Axial Strain for Bending Loads” (7) | E, EN | S |
“Beam Axial Strain for Total Loads” (7) | E, EN | S |
“Beam Shear Strain for Torsion Loads” (7) | E, EN | S |
“Beam Shear Strain for Total Loads” (7) | E, EN | S |
“Beam Axial Stress for Axial Loads” (7) | E, EN | S |
“Beam Axial Stress for Bending Loads” (7) | E, EN | S |
“Beam Axial Stress for Total Loads” (7) | E, EN | S |
“Beam Shear Stress for Torsion Loads” (7) | E, EN | S |
“Beam Shear Stress for Total Loads” (7) | E, EN | S |
“Beam Forces” (1) | E, EN | T |
“Beam Moments” (1) | E, EN | T |
“Beam Warping Torque” | E, EN | T |
“Beam Deformations” (2) | E, EN | T |
“Beam Velocities” (2) | E, EN | T |
Result | Target | Tensor |
Name | Entities | Type |
“Gap Slips” (8) | E, EN | T |
“Bush Forces Stress Tensor” (9) | E | T |
“Bush Forces Strain Tensor” (9) | E | T |
“Bush Moments Stress Tensor” (9) | E | T |
“Bush Moments Strain Tensor” (9) | E | T |
“Bush Plastic Strain” | E, EN | S |
“Spring Scalar Strain” | E, EN | S |
“Spring Scalar Stress” | E, EN | S |
“Spring Scalar Forces” (3) | E, EN | S |
Result | Target | Tensor |
Name | Entities | Type |
“Curvature Tensor” | E, EN | T |
“Shell Forces” | E, EN | T |
“Shell Moments” | E, EN | T |
Result | Target | Tensor |
Name | Entities | Type |
“Shear Panel Strain, Max” | E, EN | T |
“Shear Panel Strain, Average” | E, EN | T |
“Shear Panel Stress, Max” | E, EN | T |
“Shear Panel Stress, Average” | E, EN | T |
Result | Target | Tensor |
Name | Entities | Type |
“Composite Failure Index, Tsai-Hill Version 1” | EL, ENL | S |
“Composite Failure Index, Tsai-Hill Version 2” | EL, ENL | S |
“Composite Failure Index, Tsai-Hill Version 3” | EL, ENL | S |
“Composite Failure Index, Tsai-Wu” | EL, ENL | S |
“Composite Failure Index, Hoffman” | EL, ENL | S |
“Composite Failure Index, Hashin Version 1” | EL, ENL | S |
“Composite Failure Index, Hashin Version 2” | EL, ENL | S |
“Composite Failure Index, Hashin Version 3” | EL, ENL | S |
“Composite Failure Index, Maximum Strain” | EL, ENL | T (11) |
“Composite Failure Index, Maximum Strain, CompMax” | EL, ENL | S (11) |
“Composite Failure Index, Maximum Stress” | EL, ENL | T (11) |
“Composite Failure Index, Maximum Stress, CompMax” | EL, ENL | S (11) |
“Composite Failure Index, Stress Ratio” | EL, ENL | S |
“Composite Failure Index, Strain Ratio” | EL, ENL | S |
“Composite Failure Index, Rice and Tracey” | EL, ENL | S |
“Composite Failure Index, Interlaminar Shear Stress” | EL, ENL | S |
Result | Target | Tensor |
Name | Entities | Type |
“Composite Critical Ply Failure Index, Tsai-Hill Version 1” | E, EN | S |
“Composite Critical Ply Failure Index, Tsai-Hill Version 2” | E, EN | S |
“Composite Critical Ply Failure Index, Tsai-Hill Version 3” | E, EN | S |
“Composite Critical Ply Failure Index, Tsai-Wu” | E, EN | S |
“Composite Critical Ply Failure Index, Hoffman” | E, EN | S |
“Composite Critical Ply Failure Index, Hashin Version 1” | E, EN | S |
“Composite Critical Ply Failure Index, Hashin Version 2” | E, EN | S |
“Composite Critical Ply Failure Index, Hashin Version 3” | E, EN | S |
“Composite Critical Ply Failure Index, Maximum Strain, CompMax” | E, EN | S (11) |
“Composite Critical Ply Failure Index, Maximum Stress, CompMax” | E, EN | S (11) |
“Composite Critical Ply Failure Index, Stress Ratio” | E, EN | S |
“Composite Critical Ply Failure Index, Strain Ratio” | E, EN | S |
“Composite Critical Ply Failure Index, Rice and Tracey” | E, EN | S |
“Composite Critical Ply Failure Index, Interlaminar Shear Stress” | E, EN | S |
Result | Target | Tensor |
Name | Entities | Type |
“Composite Critical Ply, Tsai-Hill Version 1” | E, EN | S |
“Composite Critical Ply, Tsai-Hill Version 2” | E, EN | S |
“Composite Critical Ply, Tsai-Hill Version 3” | E, EN | S |
“Composite Critical Ply, Tsai-Wu” | E, EN | S |
“Composite Critical Ply, Hoffman” | E, EN | S |
“Composite Critical Ply, Hashin Version 1” | E, EN | S |
“Composite Critical Ply, Hashin Version 2” | E, EN | S |
“Composite Critical Ply, Hashin Version 3” | E, EN | S |
“Composite Critical Ply, Maximum Strain, CompMax” | E, EN | S (11) |
“Composite Critical Ply, Maximum Stress, CompMax” | E, EN | S (11) |
“Composite Critical Ply, Stress Ratio” | E, EN | S |
“Composite Critical Ply, Strain Ratio” | E, EN | S |
“Composite Critical Ply, Rice and Tracey” | E, EN | S |
“Composite Critical Ply, Interlaminar Shear Stress” | E, EN | S |
Result | Target | Tensor |
Name | Entities | Type |
“Temperature Gradient” | E, EN | V |
“Conductive Heat Flux” | E, EN | V |
“Specific Heat Energy” | E, EN | S |
“Applied Heat Flux” | E, EN | S |
In the following remarks about the information given in Tables X.C.1 to X.C.10, one assumes that the international unit system is used.
There is an approximation for the moments above because the torsional component is calculated wrt cross-section shear centre, and bending components are calculated wrt cross-section centre of inertia.
One assumes that the beam forces are calculated from the Cauchy stress tensor components as follows:
In which is the surface defined by a cross-section through the beam orthogonal to beam longitudinal axis. (One presumes here that the beam longitudinal direction corresponds to “” axis.) Similarly, one assumes that the bending moments tensor is calculated from the Cauchy stress tensor components as follows:
In which and are the components of coordinates in section, and correspond to the coordinates of center of gravity of the section, and and correspond to the shear center coordinates. Note also that “Beam Forces” and “Beam Moments” are Results that correspond to most 1D elements. (Bars, beams, rods, bushing elements...). However spring elements do not produce “Beam Forces” and “Beam Moments”.
These conventions ensure that beam forces and moments behave like real order 2 tensors when transformation of coordinates systems are performed. The vectorial forces and moments at the two extremities are easily obtained. Vectors
correspond to the forces and moments that must be applied on side of the beam. On the side of the beam the components of these vectors must be multiplied by -1.
(Symbol has been used for the out-of-plane shear force.)
One assumes that the shell in-plane forces are calculated from the Cauchy stress tensor components as follows:
Similarly, one assumes that the bending moments tensor is calculated using the distribution through the thickness of the Cauchy stress tensor components as follows:
This is a usual convention for shell elements. For example, this is generally the convention used to present the theory of classical laminate analysis. When a component of the bending tensor is positive, the corresponding component is positive on the upper surface of the shell, and negative on the other face.
Here again, a positive curvature means that the corresponding component of strain tensor is in tension on the upper face, and in compression on the lower face of the shell.
The corresponding “CompMax” scalar Results are obtained by selecting the maximum failure index value among the six components.