Shape optimization of periodic structures

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

Linear and nonlinear programming.

Mathematics and Computers in Simulation · 1986 · 4.8K citations

Mathematical Programming, Engineering, Linear Optimization +5

Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods

J. M. Guedes, Noboru Kikuchi · Computer Methods in Applied Mechanics and Engineering · 1990 · 1.3K citations · Full text

Materials Science, Numerical Analysis, Finite Element Method +11

The Gradient Projection Method for Nonlinear Programming. Part I. Linear Constraints

J. B. Rosen · Journal of the Society for Industrial and Applied Mathematics · 1960 · 1.2K citations

Mathematical Programming, Numerical Analysis, Linear Constraints +15

Materials with prescribed constitutive parameters: An inverse homogenization problem

Ole Sigmund · International Journal of Solids and Structures · 1994 · 1K citations

Materials Science, Engineering, Mechanical Engineering +8