On Λ-Fractional Wave Propagation in Solids

Autor: Kostantinos A. Lazopoulos, Anastasios K. Lazopoulos
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematics, Vol 11, Iss 19, p 4183 (2023)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math11194183
Popis: Wave propagation in solids is discussed, based upon inherently non-local Λ-fractional analysis. Following the governing equations of Λ-fractional continuum mechanics, the Λ-fractional wave equations are derived. Since the variational procedures are only global, in the present Λ-fractional analysis, various jumpings, either in the strain or the stress, may be shown. The proposed theory is applied to impact-induced transitions in two-phase elastic materials and viscoelastic materials.
Databáze: Directory of Open Access Journals
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