Materials with Constitutive Equations That Are Local in Time

  • Giovambattista Amendola
  • Mauro Fabrizio
  • John Murrough Golden


We now consider the constitutive equations relating to fluids and solids for which memory effects are negligible. This contrasts with subsequent chapters, which are devoted almost entirely to materials with memory. In fact, however, one example included in the discussion, namely viscous fluids, can be visualized as possessing very short-term memory, expressed by the presence of time derivatives of certain field quantities. This is consistent with the general correlation that will arise throughout the present work between memory effects and energy dissipation.


Constitutive Equation Body Force Elastic Material Elasticity Tensor Lateral Boundary Condition 
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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Giovambattista Amendola
    • 1
  • Mauro Fabrizio
    • 2
  • John Murrough Golden
    • 3
  1. 1.Dipartimento di Matematica Applicata “U. Dini”University of PisaPisaItaly
  2. 2.Dipartimento di MatematicaUniversity of BolognaBolognaItaly
  3. 3.School of Mathematical SciencesDublin Institute of TechnologyDublin 8Ireland

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