{"title":"Cylindrical cavity expansion solutions using the non-orthogonal elastoplastic clay model","authors":"Dechun Lu , Yun Chen , Xin Zhou , Xiuli Du","doi":"10.1016/j.compgeo.2025.107224","DOIUrl":null,"url":null,"abstract":"<div><div>This study provides semi-analytical solutions for the cylindrical cavity expansion (CCE) problem, utilizing the non-orthogonal elastoplastic clay (NEPC) model. The analysis covers both undrained and drained scenarios. The NEPC model captures the soil’s softness/hardness and volume change behavior using only a fractional order parameter, without requiring an additional plastic potential function. After a brief introduction to the NEPC model, we derive solutions by solving a system of closed-form ordinary differential equations that involve the material derivative of effective stresses. The presented semi-analytical solutions are validated through finite element (FE) solutions which are obtained on an implicit unconstrained stress update algorithm. The impact of the fractional order on the expansion process is analyzed and discussed in depth, covering the normal and over-consolidated soils. The presented solutions provide a framework for analyzing CCE in clay, considering the softness/hardness and volume change behavior of the soil, and can act as a benchmark for validating numerical solutions for non-orthogonal elastoplastic models.</div></div>","PeriodicalId":55217,"journal":{"name":"Computers and Geotechnics","volume":"183 ","pages":"Article 107224"},"PeriodicalIF":5.3000,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computers and Geotechnics","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0266352X25001739","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
This study provides semi-analytical solutions for the cylindrical cavity expansion (CCE) problem, utilizing the non-orthogonal elastoplastic clay (NEPC) model. The analysis covers both undrained and drained scenarios. The NEPC model captures the soil’s softness/hardness and volume change behavior using only a fractional order parameter, without requiring an additional plastic potential function. After a brief introduction to the NEPC model, we derive solutions by solving a system of closed-form ordinary differential equations that involve the material derivative of effective stresses. The presented semi-analytical solutions are validated through finite element (FE) solutions which are obtained on an implicit unconstrained stress update algorithm. The impact of the fractional order on the expansion process is analyzed and discussed in depth, covering the normal and over-consolidated soils. The presented solutions provide a framework for analyzing CCE in clay, considering the softness/hardness and volume change behavior of the soil, and can act as a benchmark for validating numerical solutions for non-orthogonal elastoplastic models.
期刊介绍:
The use of computers is firmly established in geotechnical engineering and continues to grow rapidly in both engineering practice and academe. The development of advanced numerical techniques and constitutive modeling, in conjunction with rapid developments in computer hardware, enables problems to be tackled that were unthinkable even a few years ago. Computers and Geotechnics provides an up-to-date reference for engineers and researchers engaged in computer aided analysis and research in geotechnical engineering. The journal is intended for an expeditious dissemination of advanced computer applications across a broad range of geotechnical topics. Contributions on advances in numerical algorithms, computer implementation of new constitutive models and probabilistic methods are especially encouraged.