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The time-dependent behavior and restraint effects of piles installed in landslide of three different states of ground are discussed in this paper by applying the theory of rheology.The differential equation for the deformation of pile in elastic ground is derived asEI⋅∂4y/∂x4+Es⋅y=p…(1)and those for the time-dependent behavior of piles in visco-elastic ground and visco-plastic ground areEI∂4y/∂x4+η⋅∂y/∂t+Es⋅y=p…(2)EI∂4y/∂x4+ηV⋅ηB/Es∂2y/∂t2+ηB⋅∂y/∂t=p…(3)where, E=modules of elasticity of pile, I=moment of inertia of pile, Es=modulus of elasticity of soil, ηV, ηB=viscosity of soil.The solution of equation (2) shows that the deformation of pile in visco-elastic ground continue to increase with decreasing rate and it may cease after some period of time to approach the elastic equilibrium, which is given by the solution of equation (1). However, the solution of equation (3) shows that the deformation of pile installed in visco-plasto-elastic ground continue to increase along the curve of exponential form at the initial stage of the deformation and after some period of time the increment of deformation is accelerated to failure.The restraint effects of pile in landslide of various states of ground will be estimated as follows: The piles in visco-elastic ground show the effects when the deformation of pile reach the elastic equilibrium, but piling in visco-plasto-elastic ground may be ineffective according to the time-dependent deformation of pile.
- 公益社団法人 日本地すべり学会の論文
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