Numerical Modeling Of Forward Static Viscoelastic Problems With Interval Uncertainty

By virtue of the theory of interval mathematics, a numerical model is proposed for forward static viscoelastic problems. By Taylor series expansion, it transforms uncertain problems into certain problems and it also deduces the computational formulas which are about interval mid-values and interval radius. By virtue of the theory of interval mathematics, it can ensure calculation precision when steps are not the same, practically the calculation precision of constitutive parameters derivative. The lower and upper bounds of the intervals of unknown displacement can be established when measurement of constitutive parameters contains interval uncertainty. In numerical experiments, compared with the combination method, this paper has verified the correctness and effectiveness of the proposed method and it also has analyzed and discussed the interval sizes and time steps which affect the accuracy of calculation.This paper work is expected to provide valuable reference for modeling or solution of the static viscoelastic problems with interval uncertainty.