{"title":"霜胀压力作用下岩石裂纹扩展的模拟算法","authors":"Manman Liu , Fangtong Wang","doi":"10.1016/j.tafmec.2025.105059","DOIUrl":null,"url":null,"abstract":"<div><div>The crack propagation inside rocks subjected to frost swelling pressure is one of the main factors threatening the safety of rock engineering. The existing frost crack simulation algorithms are difficult to model the real shapes of cracks, and most of them are limited to the sample scale. Therefore, a novel algorithm for simulating crack propagation in rocks under frost swelling pressure is proposed. The proposed algorithm can generate frost cracks with realistic morphology and is applicable to rocks at multiple scales. The stress concentration effect is involved to simulate frost cracks in a two-dimensional plane based on Griffith criterion. The Minkowski function is employed to quantify the impact of various factors on frost cracks, including the number of freeze–thaw cycles, initial crack, and the boundary condition of the computational domain. Moreover, the coordinate information of the generated cracks can be extracted to establish the fractured rock model in numerical simulation software. The algorithm has been extended to various scales to explore the impact of frost cracks on the deformation properties of rock samples and slope stability. The proposed algorithm can clarify the evolution process of frost cracks, providing references for evaluating the safety of rock engineering.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"139 ","pages":"Article 105059"},"PeriodicalIF":5.0000,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A simulation algorithm for crack propagation in rocks subjected to frost swelling pressure\",\"authors\":\"Manman Liu , Fangtong Wang\",\"doi\":\"10.1016/j.tafmec.2025.105059\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The crack propagation inside rocks subjected to frost swelling pressure is one of the main factors threatening the safety of rock engineering. The existing frost crack simulation algorithms are difficult to model the real shapes of cracks, and most of them are limited to the sample scale. Therefore, a novel algorithm for simulating crack propagation in rocks under frost swelling pressure is proposed. The proposed algorithm can generate frost cracks with realistic morphology and is applicable to rocks at multiple scales. The stress concentration effect is involved to simulate frost cracks in a two-dimensional plane based on Griffith criterion. The Minkowski function is employed to quantify the impact of various factors on frost cracks, including the number of freeze–thaw cycles, initial crack, and the boundary condition of the computational domain. Moreover, the coordinate information of the generated cracks can be extracted to establish the fractured rock model in numerical simulation software. The algorithm has been extended to various scales to explore the impact of frost cracks on the deformation properties of rock samples and slope stability. The proposed algorithm can clarify the evolution process of frost cracks, providing references for evaluating the safety of rock engineering.</div></div>\",\"PeriodicalId\":22879,\"journal\":{\"name\":\"Theoretical and Applied Fracture Mechanics\",\"volume\":\"139 \",\"pages\":\"Article 105059\"},\"PeriodicalIF\":5.0000,\"publicationDate\":\"2025-06-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Theoretical and Applied Fracture Mechanics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0167844225002174\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Applied Fracture Mechanics","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167844225002174","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
A simulation algorithm for crack propagation in rocks subjected to frost swelling pressure
The crack propagation inside rocks subjected to frost swelling pressure is one of the main factors threatening the safety of rock engineering. The existing frost crack simulation algorithms are difficult to model the real shapes of cracks, and most of them are limited to the sample scale. Therefore, a novel algorithm for simulating crack propagation in rocks under frost swelling pressure is proposed. The proposed algorithm can generate frost cracks with realistic morphology and is applicable to rocks at multiple scales. The stress concentration effect is involved to simulate frost cracks in a two-dimensional plane based on Griffith criterion. The Minkowski function is employed to quantify the impact of various factors on frost cracks, including the number of freeze–thaw cycles, initial crack, and the boundary condition of the computational domain. Moreover, the coordinate information of the generated cracks can be extracted to establish the fractured rock model in numerical simulation software. The algorithm has been extended to various scales to explore the impact of frost cracks on the deformation properties of rock samples and slope stability. The proposed algorithm can clarify the evolution process of frost cracks, providing references for evaluating the safety of rock engineering.
期刊介绍:
Theoretical and Applied Fracture Mechanics'' aims & scopes have been re-designed to cover both the theoretical, applied, and numerical aspects associated with those cracking related phenomena taking place, at a micro-, meso-, and macroscopic level, in materials/components/structures of any kind.
The journal aims to cover the cracking/mechanical behaviour of materials/components/structures in those situations involving both time-independent and time-dependent system of external forces/moments (such as, for instance, quasi-static, impulsive, impact, blasting, creep, contact, and fatigue loading). Since, under the above circumstances, the mechanical behaviour of cracked materials/components/structures is also affected by the environmental conditions, the journal would consider also those theoretical/experimental research works investigating the effect of external variables such as, for instance, the effect of corrosive environments as well as of high/low-temperature.