时变固体力学的黏弹性解

VISCOELASTICITY SOLUTION OF TIME-VARIATION SOLID MECHANICS

基于时变力学的对应性原理，建立一种黏弹性时变力学的一般性解法，适用于一类时变力学问题的求解．

The research of construction mechanics in civil engineering is very important for engineers and academics to undertake. But its development and systematization need the clear understand of its foundation──time-variation mechanics. A new problem of solid mechanics for viscoelastic time-variation mechanics analysis is presented in this paper, in which the correspondence principle in viscoelastic time-variation mechanics is proved, a general method for the viscoelastic problems of time-variation solid mechanics is given. By using this inethod, the viscoelastic time-variation closed-form solution of a growing column with arbitrary cross section under own weight is obtained. Furthermore, the solution method and its application in practical engineering are discussed, some beneficial conclusions are drawn, which is very useful to the further research of construction mechanics in the future.