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Materials with Constitutive Equations That Are Local in Time

In: Thermodynamics of Materials with Memory

Author

Listed:
  • Giovambattista Amendola

    (University of Pisa, Dipartimento di Matematica Applicata “U. Dini”)

  • Mauro Fabrizio

    (University of Bologna, Dipartimento di Matematica)

  • John Murrough Golden

    (Dublin Institute of Technology, School of Mathematical Sciences)

Abstract

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.

Suggested Citation

  • Giovambattista Amendola & Mauro Fabrizio & John Murrough Golden, 2012. "Materials with Constitutive Equations That Are Local in Time," Springer Books, in: Thermodynamics of Materials with Memory, chapter 0, pages 43-72, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-1692-0_2
    DOI: 10.1007/978-1-4614-1692-0_2
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