13 citations · 13 across the 4 of their papers we have counts for
4 papers
Minimisation of peak stresses with the shape derivative
Phillip Baumann, Kevin Sturm
This paper is concerned with the minimisation of peak stresses occurring in linear elasticity. We propose to minimise the maximal von Mises stress of the elastic body. This leads t…
The topological state derivative: an optimal control perspective on topology optimisation
Phillip Baumann, Idriss Mazari-Fouquer, Kevin Sturm
In this paper we introduce the topological state derivative for general topological dilatations and explore its relation to standard optimal control theory. We show that for a clas…
Complete topological asymptotic expansion for and tracking-type cost functionals in dimension two and three
Phillip Baumann, Peter Gangl, Kevin Sturm
In this paper, we study the topological asymptotic expansion of a topology optimisation problem that is constrained by the Poisson equation with the design/shape variable entering…
Adjoint based methods to compute higher order topological derivatives with an application to elasticity
Phillip Baumann, Kevin Sturm
The goal of this paper is to give a comprehensive and short review on how to compute the first and second order topological derivative and potentially higher order topological deri…