Rayleigh waves in isotropic elastic materials with micro-voids
In: International Journal of Solids and Structures, Band 290 (2024), Artikel 112661
2024Artikel/Aufsatz in ZeitschriftOA Grün
MathematikFakultät für Mathematik » Analysis
Damit verbunden: 1 Publikation(en)
Titel in Englisch:
Rayleigh waves in isotropic elastic materials with micro-voids
Autor*in:
Bulgariu, Emilian
- LSF ID
- 56905
- ORCID
- 0000-0002-8466-8010
- Sonstiges
- der Hochschule zugeordnete*r Autor*in
korrespondierende*r Autor*in
- LSF ID
- 13332
- ORCID
- 0000-0002-1615-8879
- Sonstiges
- der Hochschule zugeordnete*r Autor*in
Erscheinungsjahr:
2024
Open Access?:
OA Grün
arXiv.org ID
Scopus ID
Sprache des Textes:
Englisch
Schlagwort, Thema:
Existence and uniqueness ; Fu and Mielke's method ; Materials with micro-voids ; Micro-voids model ; Rayleigh waves ; Relaxed micromorphic model ; Riccati equation ; Secular equation
Ressourcentyp:
Text
Abstract in Englisch:
In this paper, we show that a general method introduced by Fu and Mielke allows to give a complete answer on the existence and uniqueness of a subsonic solution describing the propagation of surface waves in an isotropic half space modelled with the linear theory of isotropic elastic materials with micro-voids. Our result is valid for the entire class of materials admitting real wave propagation which include auxetic materials (negative Poisson's ration) and composite materials with negative-stiffness inclusions (negative Young's modulus). Moreover, the used method allows to formulate a simple and complete numerical strategy for the computation of the solution.