Civil Engineering Reference
In-Depth Information
Radius of curvature
δ Coefficient of conformity, distance measure
λ, μ Lamé constants
Principal stretches of metric tensor
Parametric co-ordinates along a line segment
ξ, η, ζ Reference element co-ordinates
L
1
, L
2
, L
3
, L
4
Area/volume (barycentre) co-ordinates
H
a
Interpolation functions at the a
th
node
M
Metric tensor (matrix)
∊, σ
Strain tensor and stress tensor
∊
Tolerance
κ
Curvature
θ
Angle measure
NINT(x)
Nearest integer of real number x
INT(x)
Integral part of real number x
∣∣⋅∣∣
Euclidean norm
∇
Gradient operator
u
,
v
Vectors
a
⋅
b
Scalar product of vectors
a
and
b
a
×
b
Cross product of vectors
a
and
b
A:B
Scalar product of second order tensors A and B
M
T
Transpose of matrix M
Set of real numbers
Set of integers
Set of natural numbers
Hexahedral mesh
Point set; pentahedral mesh
Triangulation; triangular mesh; tetrahedral mesh
Pyramid element mesh
2.2.3 Abbreviations
2D, 2d
Two-dimensional, two dimensions
3D, 3d
Three-dimensional, three dimensions
ADF
Advancing front
AFT
Advancing-front technique
BASE
The base triangle or tetrahedron in Delaunay point insertion
BRep
Boundary representation
CAD
Computer-aided design
CORE
The insertion cavity (polyhedron) in Delaunay triangulation
DT
Delaunay triangulation
FE
Finite element
FEM
Finite element method
hex
Hexahedron, hexahedra, hexahedral
LSF
Least square fit
MG
Mesh generation
NURB
Non-uniform rational B-spline(s)
PDE
Partial differential equation
quad
Quadrilateral
SPR
Super-convergent patch recovery
