On the Viscoelastic Mixtures of Solids View Full Text


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Article Info

DATE

2019-04

AUTHORS

Jose R. Fernández, Antonio Magaña, María Masid, Ramón Quintanilla

ABSTRACT

In this paper we analyze an homogeneous and isotropic mixture of viscoelastic solids. We propose conditions to guarantee the coercivity of the internal energy and also of the dissipation, first in dimension two and later in dimension three. We obtain an uniqueness result for the solutions when the dissipation is positive and without any hypothesis over the internal energy. When the internal energy and the dissipation are both positive, we prove the existence of solutions as well as their analyticity. Exponential stability and impossibility of localization of the solutions are immediate consequences. More... »

PAGES

309-326

References to SciGraph publications

  • 2000-01. Micromechanical modeling of finite viscoelastic multiphase composites in ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK
  • 1988-06. On the formulation of diffusive mixture theories for two-phase regions in JOURNAL OF ENGINEERING MATHEMATICS
  • 1968-01. A thermodynamic theory of mixtures of fluids in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1960. The Classical Field Theories in PRINCIPLES OF CLASSICAL MECHANICS AND FIELD THEORY / PRINZIPIEN DER KLASSISCHEN MECHANIK UND FELDTHEORIE
  • 1983-03. A theory of viscoelastic composites modeled as interpenetrating solid continua with memory in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1968-01. A thermodynamic theory of two chemically reacting ideal gases with different temperatures in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
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    http://scigraph.springernature.com/pub.10.1007/s00245-017-9439-8

    DOI

    http://dx.doi.org/10.1007/s00245-017-9439-8

    DIMENSIONS

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