FINITE ELEMENT ANALYSIS OF SEEPAGE IN VISCOELASTIC MEDIA

R.S.Sandhu and E.L.Wilson presented“Finite Element Analysis ofSeepage in Elastic Media”,by which complex problems in engineeringcan be solved.In this paper,it is extended to the case of viscoe-lastic media.If the soil skeleton is regarded as viscoelastic media,the stress-strain relation will be changed with time.which increasesthe complexity of problems.By making use of the finite-element methodto solve such problems.the linear stress-strain increment relation isconsidered in every preselective interval of time.The linear propor-tional constant here is called“equivalent elastic tensor”.On thebasis of the equivalent elastic tensor.this paper deduces the formu-lation for solving problems in viscoelastic media.     

教学札记

关于速度合成定理的几何证明方法文章[1]指出证明速度合成定理的几何法存在两个问题,笔者对此表示异议.图1中的 M_1 M′正是动点的相对位移,相对位移的绝对导数     

粘-弹性介质中渗流的有限元法分析

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.