A SIMP-phase field topology optimization framework to maximize quasi-brittle fracture resistance of 2D and 3D composites

Generating optimal topologies in structural design using a homogenization method

Martin P. Bendsøe, Noboru Kikuchi · Computer Methods in Applied Mechanics and Engineering · 1988 · 7.1K citations · Full text

Engineering, Design, Structural Topology +8

The method of moving asymptotes—a new method for structural optimization

Krister Svanberg · International Journal for Numerical Methods in Engineering · 1987 · 5.2K citations

Mathematical Programming, Numerical Analysis, Engineering +16

Optimal shape design as a material distribution problem

Martin P. Bendsøe · Structural and Multidisciplinary Optimization · 1989 · 4.3K citations

Geometric Modeling, Engineering, Natural Sciences +9

Revisiting brittle fracture as an energy minimization problem

Gilles A. Francfort, Jean‐Jacques Marigo · Journal of the Mechanics and Physics of Solids · 1998 · 3.2K citations

Brittle Fracture, Engineering, Mechanics +8

A level set method for structural topology optimization

Michael Yu Wang, Xiaoming Wang, Dongming Guo · Computer Methods in Applied Mechanics and Engineering · 2002 · 3.1K citations

Engineering, Structural Topology, Structural Topology Optimization +5