On the thermodynamically consistent fractional wave equation for viscoelastic solids
Publication date
2011
Document type
Research article
Author
Ende, Sven von
Lion, Alexander
Lammering, Rolf
Organisational unit
Scopus ID
ISSN
Series or journal
Acta Mechanica
Periodical volume
221
Periodical issue
1-2
First page
1
Last page
10
Part of the university bibliography
✅
Keyword
Fractional Derivative
Structural Health Monitoring
Lamb Wave
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.
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