{Reference Type}: Journal Article {Title}: Current developments in elastic and acoustic metamaterials science. {Author}: Failla G;Marzani A;Palermo A;Russillo AF;Colquitt D; {Journal}: Philos Trans A Math Phys Eng Sci {Volume}: 382 {Issue}: 2278 {Year}: 2024 Sep 9 {Factor}: 4.019 {DOI}: 10.1098/rsta.2023.0369 {Abstract}: The concept of metamaterial recently emerged as a new frontier of scientific research, encompassing physics, materials science and engineering. In a broad sense, a metamaterial indicates an engineered material with exotic properties not found in nature, obtained by appropriate architecture either at macro-scale or at micro-/nano-scales. The architecture of metamaterials can be tailored to open unforeseen opportunities for mechanical and acoustic applications, as demonstrated by an impressive and increasing number of studies. Building on this knowledge, this theme issue aims to gather cutting-edge theoretical, computational and experimental studies on elastic and acoustic metamaterials, with the purpose of offering a wide perspective on recent achievements and future challenges. This article is part of the theme issue 'Current developments in elastic and acoustic metamaterials science (Part 1)'.