Axisymmetric Consolidation of a Poroelastic Soil Layer with Impermeable Surface

IF 0.6 4区 工程技术 Q4 MECHANICS Mechanics of Solids Pub Date : 2024-09-01 DOI:10.1134/S0025654424602623
S. Attri, S. Rani
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Abstract

This paper examines the axisymmetric consolidation of a poroelastic soil layer subjected to normal disc loading at the ground surface. The layer rests on a smooth-rigid impermeable base and the surface of the layer are assumed to be impermeable. The solid and fluid phases are assumed to be compressible. The solution for the displacements, pore-pressure and stresses is obtained by utilizing Laplace–Hankel transform methods. These solutions with the combination of boundary conditions provide the expressions of pore-pressure, displacements and stresses in transform domain. After the inversion of Laplace–Hankel transform the solutions can be obtained in the physical domain. The distribution of pore pressure in the layer and the vertical displacement of the soil layer is calculated numerically. The numerical results examined in the paper describe the effect of Biot Willis coefficient, drained/undrained Poisson’s ratio on the distribution of pore pressure and surface settlement with time. It is observed that compressibility of the solid components decreases the magnitude of pore pressure. Also, the magnitude of pore pressure increases as depth increases.

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具有不透水表面的透气弹性土层的轴对称固结
摘要 本文研究了在地表承受法向圆盘荷载的孔弹性土层的轴对称固结。该土层位于光滑刚性的不透水基底上,土层表面假定不透水。假设固相和流体相均可压缩。位移、孔隙压力和应力的解法是利用拉普拉斯-汉克尔变换方法获得的。这些解与边界条件相结合,提供了变换域中孔隙压力、位移和应力的表达式。在对拉普拉斯-汉克尔变换进行反演后,可以得到物理域中的解。孔隙压力在土层中的分布以及土层的垂直位移都是通过数值计算得出的。文中研究的数值结果描述了 Biot Willis 系数、排水/非排水泊松比对孔隙压力分布和表面沉降随时间变化的影响。据观察,固体成分的可压缩性降低了孔隙压力的大小。此外,孔隙压力的大小随着深度的增加而增大。
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来源期刊
Mechanics of Solids
Mechanics of Solids 医学-力学
CiteScore
1.20
自引率
42.90%
发文量
112
审稿时长
6-12 weeks
期刊介绍: Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.
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