Solids with rheological properties

  • A. N. Guz
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)


This section deals, to the extent necessary for the further exposition of TLTDBS, with the constitutive equations for solids with rheological properties. Under solids with rheological properties (often called also solids with rheonomic properties) we understand the solids in which the states of stress and strain change in time, whereas the loads, that have resulted them in, remain constant in time. Dependence of all processes on time is the characteristic feature of solids with rheological properties. In so doing, time cannot be eliminated and excluded from consideration as it was for plastic solids. Rheological (rheonomic) properties are exhibited in a variety of ways depending on the material, level of loading, temperature, frequency (for dynamic loading), environment (hostile, etc). Nevertheless, the properties of viscous fluid, elastic solid and plastic solid (the perfectly plastic and strain-hardening) may be regarded as the principal ones displayed in solids with rheological properties.


Constitutive Equation Rheological Property Maxwell Model Strain Rate Tensor Fourth Order Tensor 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • A. N. Guz
    • 1
  1. 1.Institute of MechanicsNational Academy of Sciences of UkraineKievUkraine

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