2007
DOI: 10.1007/s11029-007-0034-y
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A comparative analysis of moisture transport models as applied to an epoxy binder

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Cited by 45 publications
(40 citation statements)
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“…Attempts have been made to model anomalous diffusion in epoxies. The most common categories of model used are time-dependent [15][23], concentration-dependent [20], [15], the moisture (Langmuir model) [18] or uptake process in general [22] [24]. All of these methods rely on experimental observation in order to specify suitable parameters for anomalous diffusion models.…”
Section: Anomalous Diffusion Modellingmentioning
confidence: 99%
“…Attempts have been made to model anomalous diffusion in epoxies. The most common categories of model used are time-dependent [15][23], concentration-dependent [20], [15], the moisture (Langmuir model) [18] or uptake process in general [22] [24]. All of these methods rely on experimental observation in order to specify suitable parameters for anomalous diffusion models.…”
Section: Anomalous Diffusion Modellingmentioning
confidence: 99%
“…Moisture sorption by epoxy resins is usually described by Fick's equation, which is considered as one‐dimensional diffusion for the case. Thus, a gradient of concentration only along the x axis is given by the following formula.Ct=Ditalic∂2Cx2where C ( x, t ) is the concentration of diffusing substance at any point x and at any time moment t , D is the diffusion coefficient.…”
Section: Resultsmentioning
confidence: 99%
“…The diffusion is not hindered physically due to nonhomogeneity of the structure, or chemically due to molecular bonding between water and polymer chains. A simple, one‐dimensional isotropic model, generally referred to as “Langmuir‐type,” was first proposed by Carter and Kibler and has since been successfully applied to the absorption behavior of several polymers and their composites , albeit only in one‐dimension. The diffusion in this one‐dimensional model is assumed to be hindered due to molecular binding and unbinding.…”
Section: Background and Theorymentioning
confidence: 99%
“…This so‐called initial linear region indicates that the total weight gain is linearly proportional with the square root of exposure time, and thus diffusion constant can be determined using the slope of this region. Numerous experimental results of moisture absorption in polymer composites seem to follow a Fickian diffusion process while others exhibit varying degrees of non‐Fickian behavior . There are other studies reporting non‐Fickian absorption followed by Fickian desorption or Fickian behavior at low temperatures and non‐Fickian behavior at higher temperatures .…”
Section: Introductionmentioning
confidence: 99%