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A simplified cooperative model of stress relaxation and other consolidation processes in solids

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Abstract

This paper explores the properties of a relaxation function derived from a differential equation mimicking the distribution mechanism of Bose-Einstein statistics in the time domain. Within a significant portion of the process, the relaxation quantity n decreases linearly with log time. The relation between dn/dt and n is an exponential one. In this respect, the present approach produces results largely equivalent to those obtained using the hypothesis of stress-dependent thermal activation or a box-like spectrum of relaxation times, τ. The τ spectrum of the model proposed here is discrete, with integer valued fractions of a characteristic -centering the equations.

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Authors and Affiliations

  1. Dept. of Wood Technology and Processing, Royal Institute of Technology, Stockholm, Sweden

    D. G. Kubát

  2. Dept. of Polymeric Materials, Chalmers University of Technology, S41296, Gothenburg, Sweden

    H. Bertilsson & J. Kubát

  3. Dept. of Mathematics, Chalmers University of Technology, Gothenburg, Sweden

    S. Uggla

Authors
  1. D. G. Kubát
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  2. H. Bertilsson
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  3. J. Kubát
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  4. S. Uggla
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Kubát, D.G., Bertilsson, H., Kubát, J. et al. A simplified cooperative model of stress relaxation and other consolidation processes in solids. Rheola Acta 31, 390–398 (1992). https://doi.org/10.1007/BF00418337

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  • DOI: https://doi.org/10.1007/BF00418337

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