Abstract
The main purpose of this research is to investiage the chemicalstress induced by diffusion. There are tow general diffusionprocesses of constant surface concentration source andinstantaneous surface concentration source are applied todiffusion process. After the initial and boundary conditionsare obtained, we utilize the Laplace or Fourier-Lapalcetransform skill to solve the partial differential equation ofdiffusion. The derivation of stress distribution arising fromthe solute diffusion is similar to the thermal stresses arisingfrom the heat transfer. Some important results in this thesisare concluded as following:(1) If the concentration for instantaneous surface source isequal to that for constant surface concentration, the chemicalstress for instantaneous is greater than that for constantsurface concentration.(2) The concentration or chemical stress distributions aresimilar to that of thin plate when the ratio of outer radius toinner is near 1. For instantaneous surface source, the Theconcentration or chemical stress distributions are similar tothat of solid cylinder when the outer radius of hollow cylinderis much greater than that inner radius.(3) There exists a time dependent function of surfaceconcentration which control the stress under the threshold valueto induce plastic deformation, i.e, it is the fast diffusionprocess without plastic deformation.(4) For composite hollow cylinder, only radial stress apply onthe surface of interface. The magnitude of the radial stressdepends on the diffusion time, Young's modulus, the ratio ofdiffusion coefficient, partial molal volume and chemicalpotential of media.(5) The chemical stress will enlarge the diffusion coefficientand speed up the diffusion.(6) In a grain boundary diffusion of thin film, the chemicalstress in grain boundary increase with increasing filmthickness. When the film thickness is large enough, the stressor concentration distribution in the grain boundary can besimplified as semi-infinite model.(7) In the mass transport of glassy polymer, the maximum stressoccurs at the absorption surface and in the initial diffusiontime. The value of the maximum stress is $-E\overline{V}C_0/3(1-\nu )$。 For given time and thickness of polymer, thedisplacement of two side absoprtion is the same as the one sideabsorption. Comparing the threotical and experimentaldisplacement curves, we can obtain the solvent of partial molalvolume in polymer.(8) In the mass transport of glassy polymer, the chemicalstress for viscoelastic model is smaller than that for elasticmodel. The same trend is also for the strain energy.