• Bernard D. Coleman
Part of the International Centre for Mechanical Sciences book series (CISM, volume 73)


In theories of the dynamical behavior of continua, there are several ways of describing the dissipative effects which, in addition to heat conduction,.accompany deformation. The oldest way is to employ a viscous stress which depends on the rate of strain, as is done in the theory of Navier-Stokes fluids. In another description of dissipation, one postulates the existence of internal state variables which influence the stress and obey differential equations in which the strain appears. A third approach is to assume that the entire past history of the strain influences the stress in a manner compatible with a general postulate of smoothness or “principle of fading memory”.


Viscous Stress Logical Relation Dissipative Effect Relaxation Spectrum Present Treatment 
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Copyright information

© Springer-Verlag Wien 1971

Authors and Affiliations

  • Bernard D. Coleman
    • 1
  1. 1.Carnegie-Mellon UniversityPittsburghUSA

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