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基于两相非连续介质(如饱和土)的力学模型,导出一个有效应力方程,在该方程中总应力分布取决于孔隙率和孔压传递系数?(?∈[0,1]),将其引入Biot固结理论,导出三维固结新方程。以圆柱土体径向受压为例,用Abaqus对两相非连续介质固结理论进行分析,求解得到孔压和位移,并比较新老理论结果的差异。根据相关文献的渗透性数据,获得几种黏土的?值,其合理范围为0.35~0.54。在相同的模量和渗透系数条件下,随着孔隙率和孔压传递系数的减小,固结过程加快,Mandel-Cryer效应更加显著。当孔隙率和孔压传递系数减小为0,固结在瞬间完成,两相非连续介质固结理论自动过渡为连续介质的弹性理论。两相非连续介质固结理论在传统固结理论和弹性理论之间搭建一座桥梁,从侧面印证两相非连续介质力学模型的合理性。
Based on the mechanical model of a two-phase discontinuous medium (such as saturated soil), an effective stress equation is derived in which the total stress distribution depends on the porosity and the pore pressure transfer coefficient (? ∈ [0,1]), The Biot consolidation theory is introduced to derive the new three-dimensional consolidation equation. Taking the radial compression of cylindrical soil as an example, Abaqus is used to analyze the theory of two-phase discontinuous solidification, and the pore pressure and displacement are obtained. The differences between new and old theoretical results are compared. Based on the permeability data in the literature, several values of clay were obtained, with a reasonable range of 0.35-0.54. Under the same modulus and permeability coefficient, with the reduction of porosity and pore pressure transfer coefficient, the consolidation process is accelerated and Mandel-Cryer effect is more significant. When the porosity and pore pressure transfer coefficients decrease to zero, the consolidation is completed in an instant. The two-phase discontinuous medium consolidation theory automatically transitions to the elastic theory of continuum. The theory of two-phase discontinuous medium consolidation establishes a bridge between the traditional theory of consolidation and the theory of elasticity, verifying the rationality of the two-phase discontinuous medium mechanics model from the side.