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2 results

  • 7 - Constitutive Formulations for Network Materials

  • Catalin R. Picu, Rensselaer Polytechnic Institute, New York
  • Book:
    Network Materials
    Published online:
    15 September 2022
    Print publication:
    22 September 2022, pp 252-277

  • Summary

    A review of current constitutive formulations for Network materials is presented in this chapter. Network materials are composed from discrete elements and are not continua. Their behavior is somewhat similar to that of mechanisms. Furthermore, deformation is generally nonaffine due to the stochastic network structure. These observations render difficult the adaptation of classical constitutive equations for this class of materials. These issues are discussed in detail in the opening section. Further, the chapter is divided into four sections, each presenting models of a certain type. The first category includes phenomenological models defined based on a free energy functional and examples relevant for thermal networks (elastomers and gels) are presented. The next three categories encompass mechanism-based models, which are divided based on the degree to which the respective models account for nonaffinity in affine, quasi-affine, and nonaffine models. An outline of the challenges and opportunities related to the development of mechanism-based constitutive models for Network materials is presented in closure.

  • Thermal Instability of Compressible Micropolar Fluid in the Presence of Suspended Particles

  • N. Rani, S. K. Tomar
  • Journal:
    Journal of Mechanics / Volume 28 / Issue 2 / June 2012
    Published online by Cambridge University Press:
    08 May 2012, pp. 239-246
    Print publication:
    June 2012

  • A problem of thermal instability of a compressible micropolar fluid layer heated from below in the presence of suspended particles has been investigated. Dispersion relation is derived and Rayleigh number curve is then plotted against the wavenumber at different values of compressibility parameter for a model example. Compressibility is found to be responsible to destabilize the system in the presence and absence of suspended particles for both stationary and over stationary convection.