Structural optimization using sensitivity analysis and a level-set method

Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations

Stanley Osher, James A. Sethian · Journal of Computational Physics · 1988 · 13.9K citations · Full text

Computing, Computer Science, Computational Geometry +8

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

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

Convexity conditions and existence theorems in nonlinear elasticity

J. M. Ball · Archive for Rational Mechanics and Analysis · 1976 · 2.4K citations

Engineering, Mechanical Engineering, Applied Mechanics +15

On the Design of Compliant Mechanisms Using Topology Optimization*

Ole Sigmund · Mechanics of Structures and Machines · 1997 · 1.4K citations

Engineering, Design, Mechanical Engineering +15