Resolution of linear viscoelastic equations in the frequency domain using real Helmholtz boundary integral equations
| Autor: | Stéphanie Chaillat, Huy Duong Bui |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Physics::Computational Physics
Marketing Helmholtz equation Strategy and Management Mathematical analysis 02 engineering and technology Physics::Classical Physics 01 natural sciences Viscoelasticity Seismic wave Physics::Geophysics Seismic analysis 010101 applied mathematics symbols.namesake 020303 mechanical engineering & transports 0203 mechanical engineering Frequency domain Helmholtz free energy Media Technology symbols General Materials Science Boundary value problem 0101 mathematics Standard linear solid model Mathematics |
| Zdroj: | Comptes Rendus Mécanique. 335:746-750 |
| ISSN: | 1631-0721 |
| DOI: | 10.1016/j.crme.2007.10.005 |
| Popis: | Boundary integral equations are well suitable for the analysis of seismic waves propagation in unbounded domains. Formulations in elastodynamics are well developed. In contrast, for the dynamic analysis of viscoelastic media, there are very seldom formulations by boundary integral equations. In this Note, we propose a new and simple formulation of time harmonic viscoelasticity with the Zener model, which reduces to classical elastodynamics if a compatibility condition is satisfied by boundary conditions. Intermediate variables which satisfy the classical elastodynamic equations are introduced. It makes it possible to utilize existing numerical tools of time harmonic elastodynamics. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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