FEM Modeling > Introduction to Finite Element Modeling > General Definitions
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General Definitions
 
analysis coordinate
frame
A local coordinate system associated to a node and used for defining constraints and calculating results at that node.
attributes
ID, topology, parent geometry, number of nodes, applied loads and bcs, material, results.
connectivity
The order of nodes in which the element is connected. Improper connectivity can cause improperly aligned normals and negative volume solid elements.
constraint
A constraint in the solution domain of the model.
cyclic symmetry
A model that has identical features repeated about an axis. Some analysis codes such as MSC Nastran explicitly allow the identification of such features so that only one is modeled.
degree-of-freedom
DOF, the variable being solved for in an analysis, usually a displacement or rotation for structural and temperature for thermal at a point.
dependent DOF
In an MPC, the degree-of-freedom that is condensed out of the analysis before solving the system of equations.
equivalencing
Combining nodes which are coincident (within a distance of tolerance) with one another.
explicit
An MPC that is not interpreted by the analysis code but used directly as an equation in the solution.
finite element
1. A general technique for constructing approximate solutions to boundary value problems and which is particularly suited to the digital computer.
2. The Patran database entities point element, bar, tria, quad, tet, wedge and hex.
finite element model
A geometry model that has been descritized into finite elements, material properties, loads and boundary conditions, and environment definitions which represent the problem to be solved.
free edges
Element edges shared by only one element.
free faces
Element faces shared by only one element.
implicit
An MPC that is first interpreted into one or more explicit MPCs prior to solution.
independent DOF
In an MPC, the degree-of-freedom that remains during the
solution phase.
IsoMesh
Mapped meshing capability on curves, three- and four-sided biparametric surfaces and triparametric solids available from the Create, Mesh panel form.
Jacobian Ratio
The ratio of the maximum determinant of the Jacobian to the minimum determinant of the Jacobian is calculated for each element in the current group in the active viewport. This element shape test can be used to identify elements with interior corner angles far from 90 degrees or high order elements with misplaced midside nodes. A ratio close or equal to 1.0 is desired.
Jacobian Zero
The determinant of the Jacobian (J) is calculated at all integration points for each element in the current group in the active viewport. The minimum value for each element is determined. This element shape test can be used to identify incorrectly shaped elements.
A well-formed element will have J positive at each Gauss point
and not greatly different from the value of J at other Gauss points. J approaches zero as an element vertex angle approaches 180 degrees.
library
Definition of all element topologies.
MPC
Multi-Point Constraint. Used to apply more sophisticated constraints on the FEM model such as sliding boundary conditions.
non-uniform seed
Uneven placement of node locations along a curve used to control node creation during meshing.
normals
Direction perpendicular to the surface of an element. Positive direction determined by the cross-product of the local parametric directions in the surface. The normal is used to determine proper orientation of directional loads.
optimization
Renumbering nodes or elements to reduce the time of the analysis. Applies only to wavefront or bandwidth solvers.
parameters
Controls for mesh smoothing algorithm. Determines how fast and how smooth the resulting mesh is produced.
paths
The path created by the interconnection of regular shaped geometry by keeping one or two constant parametric values.
Paver
General meshing of n-sided surfaces with any number of holes accessed from the Create/Mesh/Surface panel form.
reference coordinate
frame
A local coordinate frame associated to a node and used to output the location of the node in the Show, Node, Attribute panel. Also used in node editing to define the location of a node.
renumber
Change the IDs without changing attributes or associations.
seeding
Controlling the mesh density by defining the number of element edges along a geometry curve prior to meshing.
shape
The basic shape of a finite element (i.e., tria or hex).
sliding surface
Two surfaces which are in contact and are allowed to move tangentially to one another.
sub MPC
A convenient way to group related implicit MPCs under one MPC description.
term
A term in an MPC equation which references a node ID, a degree-of-freedom and a coefficient (real value).
Tetmesh
General meshing of n‑faced solids accessed from the Create/Mesh/Solid panel form.
topology
The shape, node, edge, and face numbering which is invariant for a finite element.
transitions
The result of meshing geometry with two opposing edges which have different mesh seeds. Produces an irregular mesh.
types
For an implicit MPC, the method used to interpret for analysis.
uniform seed
Even placement of nodes along a curve.
verification
Check the model for validity and correctness.