We propose several FreeFem++ routines which
allow the users to optimize the thickness, the geometry or the
topology of elastic structures. All examples are programmed in
three space dimensions.
These routines have been written by G. Allaire, A. Kelly.
Warning : Although they have been written and tested with great care, these FreeFem++ programs come with absolutely no warranty. Their authors decline any responsability linked to their use.
What is shape optimization ?
In the context of solid mechanics it is also called structural optimization. It is the mathematical theory which makes possible the ``automatic'' optimization of mechanical structures. By ``automatic'' it is meant that these methods and algorithms can be implemented on a computer which can analyse and improve the designs of numerous successive configurations without any help from the engineer or designer.
For more details on this topic we refer to the book "Conception optimale de structures" quoted below.