Journal of Shanghai University(Natural Science Edition) ›› 2009, Vol. 15 ›› Issue (6): 634-636.

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

Correspondence Principle for Nonhomogeneous Hygro-thermo-viscoelastic  Quasi-static Problems

ZHANG Neng-hui1,2,QIN Xiao-jun1   

  1. (1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
    2. College of Sciences, Shanghai University, Shanghai 200444, China)
  • Received:2009-09-10 Online:2009-12-28 Published:2009-12-28

Abstract:

The Christensen’s isotropic thermoviscoelastic constitutive relation is adopted to consider influence of moisture and thermal changes on the reduced time for simple thermorheological materials. The Laplace transform method is used to show that the correspondence principle for isotropic and nonhomogeneous hygro-thermo-viscoelastic quasi-static problems still holds when relaxation functions have separable forms in space and time, and the given temperature and moisture fields are only related to time variable.

Key words: nonhomogeneous thermo-elasticity; nonhomogeneous hygro-thermo-viscoelasticity; quasi-static problem;correspondence principle; reduced time

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