Title: On the thermodynamically consistent fractional wave equation for viscoelastic solids
Authors: Ende, Sven von 
Lion, Alexander
Lammering, Rolf  
Language: en
Subject (DDC): Ingenieurwissenschaften
Subject: Fractional Derivative
Structural Health Monitoring
Lamb Wave
Issue Date: 2011
Document Type: Article
Journal / Series / Working Paper (HSU): Acta Mechanica 
Volume: 221
Issue: 1-2
Page Start: 1
Page End: 10
Abstract: 
Since the well-known methods for the computation of harmonically induced LAMB waves in elastic plates cannot be applied directly to viscoelastic material, an enhanced material model is developed. It is based on fractional time derivatives and incorporates a fractional KELVIN-VOIGT model. A proof of the thermodynamic consistency of this model is given. On the basis of the developed material model, the fractional wave equation is derived which allows for the calculation of LAMB waves in viscoelastic solids. © 2011 Springer-Verlag.
Organization Units (connected with the publication): Mechanik 
ISSN: 00015970
DOI: 10.1007/s00707-011-0484-0
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