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Boussinesq's problem of viscoelasticity
Author(s) -
Wolf Detlef
Publication year - 1991
Publication title -
terra nova
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.353
H-Index - 89
eISSN - 1365-3121
pISSN - 0954-4879
DOI - 10.1111/j.1365-3121.1991.tb00169.x
Subject(s) - quasistatic process , hydrostatic equilibrium , viscoelasticity , compressibility , geology , displacement (psychology) , isentropic process , space (punctuation) , surface (topology) , mathematical analysis , mechanics , mathematics , geometry , physics , computer science , thermodynamics , psychology , quantum mechanics , psychotherapist , operating system
We consider an isochemical, isentropic, incompressible fluid half‐space and study quasistatic viscoelastic perturbations, induced by two‐dimensional (2D) surface loads, of a hydrostatic initial state. In view of the regional or local scale required for deformations of planets to be amenable to the half‐space approximation, the model is assumed to be externally gravitating. We derive analytic solutions for the displacement and incremental stress components and study several approximations to the expressions. Particular emphasis is placed on discriminating between the material and local incremental stresses. Based on this distinction, deeper insight is gained into the physical significance of the solution.