{"title":"Axisymmetric Consolidation of a Poroelastic Soil Layer with Impermeable Surface","authors":"S. Attri, S. Rani","doi":"10.1134/S0025654424602623","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 3","pages":"1376 - 1390"},"PeriodicalIF":0.6000,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0025654424602623","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
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.
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.