The original paper of the above title presents an analytical model for prob
lems in the optimal design of linearly elastic continuum structures, where
the material modulus tensor has the role of design variable. Both internal
(strain) energy and the expression of generalized cost are represented conv
eniently there, in a form where the modulus tensor is transformed into vect
or coordinates. The general design of linear continuum structures is stated
as a max-min problem. Optimality conditions for the transformed design pro
blem have particularly simple form.
Both local properties, represented by the relative values of components of
the modulus tensor, and the global distribution of structural resource (mat
erial) are variable in the design. With some modification to the original f
ormulation, these separate aspects of design can be represented explicitly
in the model. This modified form, which directly facilitates study of the r
ole of local properties in the prediction of optimal design, and which ulti
mately serves as the basis for schemes to perform computational solution, i
s described and substantiated here.