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36965 results in Cambridge Textbooks

Page 1629 of 1849

  • PART XII - SPECIES DIFFUSION COUPLED TO ELASTICITY

  • Morton E. Gurtin, Carnegie Mellon University, Pennsylvania, Eliot Fried, McGill University, Montréal, Lallit Anand, Massachusetts Institute of Technology
  • Book:
    The Mechanics and Thermodynamics of Continua
    Published online:
    05 June 2012
    Print publication:
    19 April 2010, pp 361-362

  • Summary

    This chapter presents a purely mechanical theory for coupled species transport and elastic deformation. The species in question may be ionic, atomic, molecular, or chemical. Underlying our approach is the notion of a structure through or on which the various species diffuse. Examples of such structures include the fissures and voids of a porous medium, the interstices of a polymer network, and the lattice of crystalline solid. The most unfamiliar and conceptually challenging features of the theory are associated with the need to account for the energy flow due to species transport. To convey these, we therefore begin by developing the theory for a single species. After extending the theory to allow for the presence of N ≥ 1 unconstrained species, we illustrate the impact of a constraint by developing the theory for a substitional alloy.

Page 1629 of 1849