{"title":"A Mixed-Mode Phase-Field Material Point Method for Geomaterials","authors":"Guangdong Luo, Xiaoping Zhou, Guilin Wang","doi":"10.1002/nme.70055","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>Under complex environmental conditions, geomaterial can fail in numerous ways, such as tensile failure, shear failure, and mixed tensile-shear failure. The first two are extreme cases of the latter. To address this issue, a phase field material point method enhanced by modified B-K criteria is proposed to handle mixed tensile-shear failure. Unlike the finite element method (FEM), the governing equations of the coupled-field system are defined on material points and solved using bilinear interpolation functions on a regular background grid. The material points are allowed to move flexibly within the background grid, making it easier to accurately track the failure zone. A standard iterative staggered algorithm is utilized to solve the coupled-field system. The effectiveness and reliability of this approach are validated through a set of representative examples.</p>\n </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 14","pages":""},"PeriodicalIF":2.9000,"publicationDate":"2025-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal for Numerical Methods in Engineering","FirstCategoryId":"5","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/nme.70055","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Under complex environmental conditions, geomaterial can fail in numerous ways, such as tensile failure, shear failure, and mixed tensile-shear failure. The first two are extreme cases of the latter. To address this issue, a phase field material point method enhanced by modified B-K criteria is proposed to handle mixed tensile-shear failure. Unlike the finite element method (FEM), the governing equations of the coupled-field system are defined on material points and solved using bilinear interpolation functions on a regular background grid. The material points are allowed to move flexibly within the background grid, making it easier to accurately track the failure zone. A standard iterative staggered algorithm is utilized to solve the coupled-field system. The effectiveness and reliability of this approach are validated through a set of representative examples.
期刊介绍：
The International Journal for Numerical Methods in Engineering publishes original papers describing significant, novel developments in numerical methods that are applicable to engineering problems.
The Journal is known for welcoming contributions in a wide range of areas in computational engineering, including computational issues in model reduction, uncertainty quantification, verification and validation, inverse analysis and stochastic methods, optimisation, element technology, solution techniques and parallel computing, damage and fracture, mechanics at micro and nano-scales, low-speed fluid dynamics, fluid-structure interaction, electromagnetics, coupled diffusion phenomena, and error estimation and mesh generation. It is emphasized that this is by no means an exhaustive list, and particularly papers on multi-scale, multi-physics or multi-disciplinary problems, and on new, emerging topics are welcome.
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