摘要:
R.S.Sandhu和E.L.Wilson提出了弹性介质中渗流分析的有限元法[1],可以用来分析较复杂的工程问题,本文将此方法推广到粘-弹性介质情况.当土骨架是粘-弹性介质时,应力与应变的关系随时间变化,增加了问题的复杂性.本文提出了折算弹性张量的概念,即当有限元法计算中的时间间隔Δt预先给定时,在此间隔内应力增量和应变增量可以近似表示为线性关系.这些线性比例常数将称为折算弹性张量.Sandhu和Wilson方法仅能用于弹性介质情况,根据折算张量概念,本文方法适用范围推广到粘-弹性介质情况.
Abstract:
R. S. Sattdhu and E, L, Wilson presented "Finite Element Analysis of Seepage in Elastic Media"[1], by which complex problems in engineering can be solved, In this paper, it is extended to the case of viscoelastic media, If the soil skeleton is regarded as the viscoelastic media, the stress-strain relation will be changed with time, which increases the complexity of the problems. By making use of finite-element method to solve such problems, the linear stress-strain increment relation is considered in every preselective interval of time.The linear proportional constants here is called "equivalent elastic tensor". On the basis of the equivalent elastic tensor, this paper deduces the formulation to solve problems in visco-elastic media.
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