Effective properties of periodic media in elastodynamic problems

• Autorzy: Yera Rolando , Méndez Carlos G. , Sánchez Pablo J. , Huespe Alfredo E.

Identyfikatory

DOI

10.7494/cmms.2021.3.0753

• Języki publikacji: EN

Abstrakty

EN

This paper describes a homogenization model for evaluating the effective elastodynamic properties of acoustic metamaterials in problems involving wave propagation. The methodology is based on determining the constitutive equations in terms of averaged quantities observed at the macroscale. In this sense, the approach very closely follows the pioneering ideas introduced by Willis, and afterwards, followed by several authors in the last ten years. The distinctive characteristic of our approach is that we write the microscale equation in the spatial domain. The model is validated with previous results published in the literature, and our results replicate them almost exactly. The resulting homogenization model could be used as an additional tool for the topology design of acoustic metamaterials.

Słowa kluczowe

EN

effective properties; acoustic metamaterials; wave propagation; periodic media; Bloch waves; phononic crystal

PL

metamateriały akustyczne; propagacja fali; media okresowe; fale Blocha; kryształ fononiczny

• Wydawca: Wydawnictwa AGH
• Czasopismo: Computer Methods in Materials Science
• Rocznik: 2021
• Tom: Vol. 21, No. 3
• Strony: 139--148
• Opis fizyczny: Bibliogr. 15 poz., rys.

Twórcy

autor

Yera Rolando

• CIMEC-UNL-CONICET, Predio Conicet Dr Alberto Cassano, CP 3000 Santa Fe, Argentina

autor

Méndez Carlos G.

• CIMEC-UNL-CONICET, Predio Conicet Dr Alberto Cassano, CP 3000 Santa Fe, Argentina

autor

Sánchez Pablo J.

• CIMEC-UNL-CONICET, Predio Conicet Dr Alberto Cassano, CP 3000 Santa Fe, Argentina
• Gimni UTN-FRSF, Lavaise 610, CP 3000 Santa Fe, Argentina

autor

Huespe Alfredo E.

• CIMEC-UNL-CONICET, Predio Conicet Dr Alberto Cassano, CP 3000 Santa Fe, Argentina
• FIQ-UNL, Santiago del Estero 2800, CP 3000 Santa Fe, Argentina

• https://orcid.org/0000-0001-7239-9805

Bibliografia

• Dong, H.-W., Zhao, S.-D., Wang, Y.-S., & Zhang, C. (2017). Topology optimization of anisotropic broadband double-negative elastic metamaterials. Journal of the Mechanics and Physics of Solids, 105, 54–80.
• Gazalet, J., Dupont, S., Kastelik, J.C., Rolland, Q., & Djafari-Rouhani, B. (2013). A tutorial survey on waves propagating in periodic media: Electronic, photonic and phononic crystals. Perception of the Bloch theorem in both real and Fourier domains. Wave Motion, 50(3), 619–654.
• Hussein, M.I., Leamy, M.J., & Ruzzene, M. (2014). Dynamics of phononic materials and structures: Historical origins, recent progress, and future outlook. Applied Mechanics Reviews, 66(4), 040802.
• Krattiger, D., & Hussein, M.I. (2018). Generalized Bloch mode synthesis for accelerated calculation of elastic band structures. Journal of Computational Physics, 357, 183–205.
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• Nassar, H., He, Q.-C., & Auffray, N. (2016). A generalized theory of elastodynamic homogenization for periodic media. International Journal of Solids and Structures, 84, 139–146.
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