Gravitational Viscoelastodynamics

  • Detlef Wolf
Living reference work entry


We consider a compositionally and entropically stratified, compressible, rotating fluid earth and study gravitational-viscoelastic perturbations of its hydrostatic initial state. Using the Lagrangian representation and assuming infinitesimal perturbations, we deduce the incremental field equations and interface conditions of gravitational viscoelastodynamics (GVED) governing the perturbations. In particular, we distinguish the material, material-local, and local forms of the incremental equations. We also demonstrate that their short-time asymptotes correspond to generalizations of the incremental field equations and interface conditions of gravitational elastodynamics (GED), whereas the long-time asymptotes agree with the incremental field equations and interface conditions of gravitational viscodynamics (GVD). The incremental thermodynamic pressure appearing in the long-time asymptote to the incremental constitutive equation is shown to satisfy the appropriate incremental state equation. Finally, we derive approximate field theories applying to gravitational-viscoelastic perturbations of isocompositional, isentropic, and compressible or incompressible fluid domains.


Interface Condition Incremental Stress Initial Field Hydrostatic Equilibrium Lagrangian Representation 
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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of Geodesy and Remote SensingGerman Research Center for Geosciences GFZTelegrafenberg, PotsdamGermany

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