Elasticity and Viscosity of Liquids

  • Daniel D. Joseph
Part of the Applied Mathematical Sciences book series (AMS, volume 84)


There is a great simplification in the problem of constitutive modeling when the deformations are a small perturbation of states of rest. These deformations depend on a Newtonian viscosity μ and a smooth relaxation function G(s), where G(s)>0, G′(s)<0, and G″(s)>0, for 0 ≤ s=t−τ < ∞, and τ is the past time.


Constitutive Equation Effective Viscosity Relaxation Function Maxwell Model Relaxation Spectrum 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Daniel D. Joseph
    • 1
  1. 1.Department of Aerospace Engineering and MechanicsUniversity of MinnesotaMinneapolisUSA

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