Direct stress minimization in electro‐mechanical metamaterials

Metamaterials are artificially created multiscale materials with many different applications [1]. We assume periodic microstructure. No specific length scale is demanded for the differentiation between scales. Instead, we consider microscale as consisting of repeating unit cells, whereas macroscale scale, where desired and sometimes unusual physical effects occur. The precise arrangement geometry at level responsible macroscopic material behavior, which can substantially differ from original components it made from. This way, unique properties otherwise not found in nature (e.g. negative refractive [2]) possible. Most previous research regarding metamaterials concentrated only on a single branch each case, e.g. electromagnetic or acoustic [3,4]. In this contribution present class theoretical electro-mechanical by combining insulating conducting materials. Our aim to directly control reduce resulting total stress counteracting mechanical through application an electric field, material. solution minimization problem related eigenvalues tensor. Additionally, discuss constrained cases tension compression cover plane case. show numerical results all limits such