ABSTRACT

The large square bracket is a matrix and the scalar quantity E/l - v2 preceding it indicates that every element in the matrix has to be multiplied by it. Defining the matrix [D] as

allows us to write the constitutive relations in matrix equation form as:

{a} = [D]{e} (A4.7)

eqn. (A4.7) but with a redefinition of the two vectors and the matrix as follows:

v 0 v 0

(A4.8)

where the aij are individual numbers of variables. [A] contains m x n such elements, has m rows and n columns. The size of [A] is therefore denoted by (m x n).