Novel Simplified Practical Method for One-Dimensional Large-Strain Consolidation

IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2024-09-23 DOI:10.1002/nag.3843
Ding-Bao Song, Peng-Lin Li, Zhen-Yu Yin, Jian-Hua Yin
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Abstract

A new simplified practical method for one-dimensional nonlinear large-strain consolidation of saturated homogenous soils is proposed. The derivation processes of the proposed method are introduced first, with a modification of Terzaghi's theory from a novel perspective to solve large-strain consolidation problems. Verification checks of the proposed method with other solutions are then conducted. The proposed method is different from Lekha's solution because Lekha's analytical solution is based on the small strain theory. For linear consolidation, the proposed method shows excellent agreement with the Consolidation Settlement 2 (CS2) model. For nonlinear large-strain consolidation, the new method is in good agreement with the CS2 model when Cc/Ck ≤ 1. After that, optimization of the proposed nonlinear solution is carried out for Cc/Ck > 1 with a more precise average constant coefficient of consolidation used in the simplified practical method, and good agreement is obtained between the solutions from the proposed method and the CS2 model. Overall, the proposed simplified method provides practical, reliable, and efficient solutions for analyzing linear and nonlinear large-strain consolidation.

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一维大应变固结的新型简化实用方法
针对饱和均质土的一维非线性大应变固结问题,提出了一种新的简化实用方法。首先介绍了所提方法的推导过程,从解决大应变固结问题的新角度对 Terzaghi 理论进行了修正。然后对提出的方法与其他解决方案进行了验证检查。提出的方法与 Lekha 的解决方案不同,因为 Lekha 的分析解决方案基于小应变理论。对于线性固结,建议的方法与固结沉降 2(CS2)模型显示出极好的一致性。对于非线性大应变固结,当 Cc/Ck ≤ 1 时,新方法与 CS2 模型非常一致。随后,在 Cc/Ck > 1 的条件下,使用简化实用方法中更精确的平均固结常数系数对所提出的非线性解法进行了优化,结果发现所提出方法的解法与 CS2 模型之间具有良好的一致性。总之,所提出的简化方法为分析线性和非线性大应变固结提供了实用、可靠和高效的解决方案。
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来源期刊
CiteScore
6.40
自引率
12.50%
发文量
160
审稿时长
9 months
期刊介绍: The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.
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