Does a Real Material Behave Fractionally? Applications of Fractional Differential Operators to the Damped Structure Borne Sound in Viscoelastic Solids

DOI10.1142/S0218396X03002024zbMath1360.74035MaRDI QIDQ2981739

Ingo Schäfer, Bodo Nolte, Sigmar Kempfle

Publication date: 9 May 2017

Published in: Journal of Computational Acoustics (Search for Journal in Brave)

zbMATH Keywords

dynamicsfractional derivativesdampingboundary element methodviscoelasticityrheology

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Linear constitutive equations for materials with memory (74D05) Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05) Waves in solid mechanics (74J99) Fractional partial differential equations (35R11)

Related Items (4)

On evolutionary equations with material laws containing fractional integrals ⋮ Modeling of amplitude-dependent damping characteristics of fiber reinforced composite thin plate ⋮ Zur Klassifizierung sowie zur Existenz, Eindeutigkeit und Stabilität der Lösungen klassischer kontinuumsmechanischer Dämpfungsmodelle ⋮ Theorems on some families of fractional differential equations and their applications.

Cites Work

• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Stress waves in anelastic solids
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Does a Real Material Behave Fractionally? Applications of Fractional Differential Operators to the Damped Structure Borne Sound in Viscoelastic Solids