VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Constitutive model for a class of hyperelastic materials with embedded rheological properties
    Dobovšek, Igor
    The paper presents a continuum mechanics approach in a mathematical formulation of a class of constitutive relations which tend to describe mechanical as well as thermo-rheological behavior of a ... material with two limiting cases of constitutive behavior: thermo-hyperelastic representing the rate independent behavior and thermo-viscoelastic in a general rheological sense. In the rate-independent limit the mechanical part can be represented by appropriate strain energy functions. We consider potential functions of Murnagan's type for compressible and Signorini's type for incompressible materials. In addition to the standard kinematical variables, the time dependent part of the assumed general form of constitutive relation is postulated to depend on an internal variable similar to the reduced time scaled by a shift function as in classical thermo-viscoelasticity, but with much broader fnctional relationship. The corresponding expressions for stress,entropy and dissipation inequality are derived from strict thermodynamic considerations and are given in an explicit form. Development is based in the principle of fading memory established by (Coleman 1961), (Coleman & Noll 1964) which was subsequently specialized for the class of viscoelastic material by (Lianis, 1965, 1970). A fundamental assumption of the proposed procedure is that in the expansion of the rheological time-dependent part of a freeenergy function small differences in histories ofstrain and temperature fields enter the thermodynamic potential or the free energy function only up to quadratic terms. Consequently, the derived expressions are quite amenable for further development. We discuss a thermo-rheologically simple constitutive model of a material which is described by a constitutive model of a material which is described by a constitutive relation of a single-integral equation type.
    Vir: Constitutive models for rubber : proceedings of the First European conference on Constitutive models for rubber, Vienna, Austria, 9-10 September (Str. 79-86)
    Vrsta gradiva - prispevek na konferenci
    Leto - 1999
    Jezik - angleški
    COBISS.SI-ID - 4976150

Vnos na polico