0647377 20260316081517.420260314235959.9 85203801370 001317424500001 10.1016/j.ijengsci.2024.104147 32 s. P cav_un_epca*02567900020-7225205Elsevier Micromorphic model Nonlocal continuum Dispersion Band gap cav_un_auth*0284427 Šmejkal M. CZ 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 30 Ústav teorie informace a automatizace AV ČR, v. v. i. https://library.utia.cas.cz/separaty/2026/MTR/horak-0647377.pdf https://www.sciencedirect.com/science/article/pii/S0020722524001319?via%3Dihub The paper develops a new integral micromorphic elastic continuum model, which can describe dispersion properties of band-gap metamaterials, i.e., metamaterials that inhibit propagation of waves in a certain frequency range. The enrichment consists in nonlocal treatment of three terms in the expression for the potential energy density of the standard micromorphic continuum. After proper calibration, such a formulation can exactly reproduce two given branches of the dispersion curve (acoustic and optical), even in cases with a band gap. The calibration process exploits Fourier images of the unknown weight functions, which are analytically deduced from the dispersion relation of the material of interest. The weight functions are then reconstructed in the spatial domain by numerical evaluation of the inverse Fourier transform. The presented approach is validated on several examples, including discrete mass–spring chains with alternating masses, for which the dispersion relation has an explicit analytical form and the optical and acoustic branches are separated by a band gap. WOS BM 10000 10300 10302 2026 RVO:67985556 https://hdl.handle.net/11104/0376948 cav_un_auth*0505484 Czech Technical University in Prague, Faculty of Civil Engineering, Department of Mechanics CVUT-FSV-MECH CZ S 104147 C ENGINEERING.MULTIDISCIPLINARY 4.8 1.7 12.6 0.00354 0.859 10694 136 1.488 61.61 6.34 1538 Q1 4.100 101 Q1 91.3 1.81 Q1 91.3 2024 85203801370 SCOPUS PUBMED 001317424500001 WOS cav_un_epca*0256790 International Journal of Engineering Science 205 1 2024 0020-7225 1879-2197 Elsevier