Simultaneous material, shape and topology optimization

On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming

Andreas Wächter, Lorenz T. Biegler · Mathematical Programming · 2005 · 9.4K citations

Natural Sciences, Computer Science, Algorithms +9

Generating optimal topologies in structural design using a homogenization method

Martin P. Bendsøe, Noboru Kikuchi · Computer Methods in Applied Mechanics and Engineering · 1988 · 7.3K citations · Full text

Engineering, Design, Design Optimization +10

Optimal shape design as a material distribution problem

Martin P. Bendsøe · Structural and Multidisciplinary Optimization · 1989 · 4.4K citations

Architecture, Manufacturing Engineering, Mathematics +12

A level set method for structural topology optimization

Michael Yu Wang, Xiaoming Wang, Dongming Guo · Computer Methods in Applied Mechanics and Engineering · 2002 · 3.2K citations

Engineering, Computational Engineering, Mathematics +12

Topology optimization approaches

Ole Sigmund, Kurt Maute · Structural and Multidisciplinary Optimization · 2013 · 2.8K citations