Emergence of elastostatic strain-gradient effects from topological optimization

• Published in: European journal of mechanics, A, Solids Vol. 100; p. 104979
• Main Authors: Calisti, V., Lebée, A., Novotny, A.A., Sokolowski, J.
• Format: Journal Article
• Language: English
• Published: Elsevier Masson SAS 01.07.2023; Elsevier
• Subjects: Architectured materials; Higher-order homogenization; Mathematics; Periodic homogenization; Strain-gradient continuum; Topological optimization; Strain-gradient continuum; Periodic homogenization; Topological optimization; Higher-order homogenization; Architectured materials

There are very few examples of architectured materials producing significant strain-gradient effects in elastostatics. In the present paper, we generate for the first time new microstructures featuring these effects from topological optimization of two-dimensional periodic media. The optimized shape...