Structural shape optimization—A survey

Compaction Through Buckling in 2D Periodic, Soft and Porous Structures: Effect of Pore Shape

“…Computer analysis -known as shape and topology optimization [20,21,22] -is performed routinely in an effort to identify optimal shapes to improve a certain performance under some constraints. In this study we will investigate both numerically and experimentally the effect of pore shape on the nonlinear response of a square array of holes in a soft matrix.…”

A performance index for topology and shape optimization of plate bending problems with displacement constraints

“…On the other hand, in the shape optimization of continuum structures, changes can only be made to the boundaries of the design. A survey on the structural shape optimization has been given by Haftka and Grandhi (1986), in which the boundary variation method has been extensively used. In shape optimization using the boundary variation method, the finite element mesh is changing during optimization process and remeshing the model is often required.…”

On gradient‐based optimization strategies for inverse problems in metal forming

“…Comprehensive research has been conducted in computational mechanics to determine an optimal shape with respect to various objectives, see for example the short survey in Haftka [18]. Furthermore, a mathematical overview concerning sizing and shape optimization is presented by Haslinger and Mäkinen [19].…”