2020/12/13 by Daniel Hexner, Hexner, Daniel · 2 citations
Engineering · Physics and Astronomy · #Advanced Materials and Mechanics #FOS: Physical sciences #Force Microscopy Techniques and Applications #Mechanical and Optical Resonators #Soft Condensed Matter (cond-mat.soft)
paper · pdf · doi:10.48550/arxiv.2012.07036
openalex publication_date 2020/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The elastic behavior of materials operating in the linear regime is\nconstrained, by definition, to operations that are linear in the imposed\ndeformation. Though the nonlinear regime holds promise for new functionality,\nthe design in this regime is challenging. In this paper we demonstrate that a\nrecent approach based on training [Hexner et al., PNAS 2020, 201922847] allows\nresponses that are inherently non-linear. By applying designer strains, a\ndisordered solids evolves through plastic deformations that alter its response.\nWe show examples of elaborate nonlinear training paths that lead to the\nfollowing functions: (1) Frequency conversion (2) Logic gate and (3) Expansion\nor contraction along one axis, depending on the sequence of imposed transverse\ncompressions. We study the convergence rate and find that it depends on the\ntrained function.\n