摘要:Topology optimization is a powerful tool in modern applied mathematics, e. g., to design lightweight structures
or machine parts. Our goal is to develop a mathematical
framework for the application of topology optimization
techniques for models of elastoplasticity. Our objective
functional may depend on the state variables u and p,
i.e., the displacement and the plastic strains respectively.
These state variables satisfy a variational inequality related to the model of elastoplasticity in use. One possible
application area could be the design of shock absorbers,
i.e., structures Ω ⊂ R3 which absorb given or random
forces.