Y. Grabovsky, EXPLICIT SOLUTION OF AN OPTIMAL-DESIGN PROBLEM WITH NON-AFFINE DISPLACEMENT BOUNDARY-CONDITIONS, Proceedings - Royal Society. Mathematical, physical and engineering sciences, 452(1947), 1996, pp. 909-918
Structural optimization problems with non-affine boundary conditions m
ust usually be solved numerically. Here we present an example of such
a problem which can be solved analytically. Our method utilizes extrem
al composites as structural components, and makes use of the explicit
form of a certain optimal energy bound.