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Analysis of creep of wood during water adsorption based on the excitation response theory

Abstract

The creep behavior of wood during water adsorption was mathematically analyzed based on the excitation response theory. The creep changeϕ u (t), obtained by subtracting an instantaneous complianceJ u (0) from a creep complianceJ u (t), was linear in terms of moisture content at a steady state of moisture and was separable into two functions of time and moisture content. The creep compliance, however, was nonlinear. The creep change during water adsorption was obtained by applying the excitation-response theory to the creep change in a steady state of moisture. The equation was formally equal to the results reported so far. By using the derived equations, it was theoretically proved that the change in creep compliance during water adsorption from moisture contentu0 tou1 is always greater than the difference between creep compliance atu0 and that at u, in the steady state.

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Correspondence to T. Nakano.

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Nakano, T. Analysis of creep of wood during water adsorption based on the excitation response theory. J Wood Sci 45, 19–23 (1999). https://doi.org/10.1007/BF00579519

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Key words

  • Creep
  • Water adsorption
  • Excitation-response theory
  • Boltzmann superposition principle
  • Mechanosorptive