Nomenclature |
 
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Nomenclature |
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Matrix algebra is used extensively throughout the derivations which follow. An underlined variable such as 
represents a rectangular array or tensor, that is, an array comprised of m rows and n columns, with m>1 and n>1. A variable of the form 
represents a vector, that is, a matrix comprising m rows and 1 column only.
Matrices may be expressed in either global or local (convected) axes, so it is necessary to distinguish between them. In this manual a quantity with the ^ superscript, such as 
, represents a matrix or vector in local axes. A quantity without the ^ superscript, such as 
, is a global matrix. In the case of a small number of matrices the question of local or global axes is immaterial, and these are written without the ^ superscript by default (an example is the matrix of finite element interpolation functions 
).
The nomenclature may be summarised as follows:
•
is a tensor in global axes
•
is a tensor in local axes
•
is a vector in global axes
•
is a vector in local axes