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ANALYTIC SOLUTION OF VISCO-ELASTIC DISPLACEMENT FOR HORIZONTAL SURFACE SLOPE
具有水平表面岩土斜坡粘弹性位移解析解

Keywords: rock and soil mechanics,creep compliance,generalized creep compliance,secondary creep of,slope,analytic solution of visco-elastic displacement relations
岩土力学
,蠕变柔量,广义蠕变柔量,斜坡二次蠕变,粘弹性位移解析解

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Abstract:

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.

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