具有水平表面岩土斜坡粘弹性位移解析解

阐述了暴雨、降雨和流水侵蚀等自然条件下,天然岩土斜坡由于自重作用而发生的二次蠕变现象,以及由于人为的某种原因改变了天然斜坡原始的地应力,而引起的二次蠕变现象。近期,提出了粘弹性力学蠕变柔量解法,给出了一种新的弹性位移理论公式和相对应的通用于 5 种不同本构关系的粘弹性位移理论公式,使弹性和粘弹性对应原理的理论描述简化。以岩土斜坡的二次蠕变现象为例,阐述了 2 种理论公式的应用方法,即由弹性位移解析解求解粘弹性位移解析解的简单解法。依据古德曼给出的具有水平表面岩土斜坡弹性位移解析解,将其中的力学参数式作简单的代数变换,分别引入 5 种粘弹性本构关系的蠕变柔量和广义蠕变柔量的解析式,得到具有水平表面岩土斜坡的符合 5 种粘弹性本构关系的粘弹性位移解析解。

ANALYTIC SOLUTION OF VISCO-ELASTIC DISPLACEMENT FOR HORIZONTAL SURFACE SLOPE

Natural slopes appearing secondary creep phenomenon under natural conditions,such as storm, rainfall,and flow-erosion,are discussed. In addition,slope initial stress changes caused by human activities to arise secondary creep phenomenon are also analyzed. Then,the visco-elastic creep compliance solution is proposed,which gives a new elastic displacement formula and simplifies the relationships between elasticity theory and visco-elasticity theory. The applications of these two theories are illustrated by secondary creep phenomenon of slope. That means visco-elastic displacement analytic solution can be achieved through elastic displacement analytic solution. Based on horizontal plane slope which is proposed by Goodman,simple analytic solution of visco-elastic displacement for algebraic transformation of mechanical parameter,five different analytic solutions of visco-elastic creep compliance,and generalized creep compliance,are introduced. The five different constitutive relations of horizontal plane slope visco-elastic displacement analytic solution are achieved.