Journal of Theoretical
and Applied Mechanics

19, 2, pp. 269-283, Warsaw 1981

Zasady wariacyjne mechaniki dla zmiennych obszarów i ich wykorzystanie w optymalizacji konstrukcji

Krzysztof Dems

The paper provides the virtual displacement and stress principles in the case when the simultaneous variation of external or internal boundaries bounding an elastic body is considered. Both the conservative and nonconservative, dependent on boundary configuration load systems are considered. Next, we consider the problem of mean compliance design of a structure with unspecified in advance shape. The optimality conditions are generated for the case of optimal shape design of loaded and free external boundaries as well as for design of interfaces separating materials of different stiffness.