Optimal Perforation Design in 2-Dimensional Elasticity
Antoni Żochowski · Mechanics of Structures and Machines · 1988
In the paper the design of perforations of two-dimensional bodies is studied. Examples considered consist of an elastic structure and heat radiator. The methods used are extensions of previous work by the author, involving the domain differentiation technique. Variational properties of the commonly used homogenization formulas are derived and compared to the finite element approximation. On this basis, a new set of formulas is obtained, approximating another functional. The paper constitutes a preliminary step in the design of composites.