Modelling topology optimization problems as linear mixed 0–1 programs

By Mathias Stolpe, Krister Svanberg. 2003

119 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/5a2358c5e4f351789e4fb77d093ca6aa275232e7

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

An enhanced genetic algorithm for structural topology optimization (2006, background): “The original infinite dimensional topology optimization problem which the discretized problem approximates may lack a solution in its general continuum setting [10] since the optimization problem is ill-posed and the set of feasible designs is not closed [49].”
Material interpolation schemes for unified topology and multi-material optimization (2011, background): “Stolpe and Svanberg (2003) , Munoz and Stolpe (2010) and Munoz (2010).”
Bilateral filtering for structural topology optimization (2005, background): “In topology optimization, the problem of non-existence of optimal solutions (illposedness) is not directly resolved [15] since the naturally posed topology optimization problem is ill-posed and the set of feasible designs is not closed [15, 42].”
Topology optimization of tensegrity structures under compliance constraint: a mixed integer linear programming approach (2013, methodology): “These formulations for trusses are motivated by an MILP formulation for topology optimization of continua presented by Stolpe and Svanberg (2003).”
Topology optimization for minimum weight with compliance and stress constraints (2012, methodology): “This is the case of the sequential integer programming methods for the binary design variables discussed in Svanberg and Werme (2007) or of the branch and bound and branch and cut methods for the liner mixed 0–1 problem in Stolpe and Svanberg (2003).”
On an alternative approach to stress constraints relaxation in topology optimization (2008, methodology): “Among the last contributions, reference is made to the alternative approach proposed by Stolpe and Svanberg (2003) .”