0647375 20260316090856.720260314235959.9 85171861365 001093112000001 10.1007/s00161-023-01256-2 20 s. P cav_un_epca*02525890935-1175365 (2024)1247-1266Springer Band gap Integral micromorphic model Dispersion cav_un_auth*0383509 Jirásek M. CZ cav_un_auth*0439612 Horák Martin UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR CZ Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0284427 Šmejkal M. CZ K https://library.utia.cas.cz/separaty/2026/MTR/horak-0647375.pdf https://link.springer.com/article/10.1007/s00161-023-01256-2 The design of band gap metamaterials, i.e., metamaterials with the capability to inhibit wave propagation of a specific frequency range, has numerous potential engineering applications, such as acoustic filters and vibration isolation control. In order to describe the behavior of such materials, a novel integral micromorphic elastic continuum is introduced, and its ability to describe band gaps is studied in the one-dimensional setting. The nonlocal formulation is based on a modification of two terms in the expression for potential energy density. The corresponding dispersion equation is derived and converted to a dimensionless format, so that the effect of individual parameters can be described in the most efficient way. The results indicate that both suggested nonlocal modifications play an important role. The original local micromorphic model reproduces a band gap only in the special, somewhat artificial case, when the stiffness coefficient associated with the gradient of the micromorphic variable vanishes. On the other hand, the nonlocal formulation can provide band gaps even for nonzero values of this coefficient, provided that the penalty coefficient that enforces coupling between the micromorphic variable and nonlocal strain is sufficiently high and the micromorphic stiffness is sufficiently low. WOS BM 10000 10300 10302 2026 3 RVO:67985556 https://hdl.handle.net/11104/0376951 cav_un_auth*0505484 Czech Technical University in Prague, Faculty of Civil Engineering, Department of Mechanics CVUT-FSV-MECH CZ S C THERMODYNAMICS|MECHANICS 2.1 0.6 5.5 0.00205 0.443 2292 63 0.575 50.52 2.55 833 Q2 2.000 56 Q2 50.5 0.47 Q2 53.8 2024 85171861365 SCOPUS PUBMED 001093112000001 WOS cav_un_epca*0252589 Continuum Mechanics and Thermodynamics 36 5 2024 1247 1266 0935-1175 1432-0959 Springer