小变形三维粘弹性问题的有限元方法

A Finite Element Analysis of Small-Strain Three-Dimensional Viscoelastic Problems

在泊松比为常数的条件下，将应变增量形式的线粘弹性本构关系表示成与带初应力的线弹性本构关系完全相同的形式，并用初应力法将其应用于有限元分析．基此，编制了一个能处理小变形三维粘弹性问题的有限元程序ＢＡＳＥ，应用这一程序分析了一个粘弹柱在复杂外载作用下的力学响应．

Under the condition of the Poisson ratio being a constant, a linear viscoelastic constitutiverelation is derived in a strain-increment form which is the same as that of a linear elastic constitutiverelation with initial-stress, and is applied to finite element analysis by means of initial stress. According to the above analysis, a finite element code-BASE is compiled of dealing with small-strain three-dimensional viscoelastic problems. The code is used to study the response of a viscoelastic cylinder tovarious loads.