{"title":"层理角度和试样几何形状对层状岩石破坏的影响","authors":"Yujie Shen, Yingxian Lang, Zhuo Dong","doi":"10.1007/s11043-026-09913-0","DOIUrl":null,"url":null,"abstract":"<div><p>Layered rocks exhibit pronounced mechanical anisotropy, and their mechanical response depends on specimen geometry. This work investigates the effects of bedding angle and height-to-diameter ratio on the mechanical response, fracture morphology, and crack evolution of layered rocks. Experimental characterization combined uniaxial compression tests with three-dimensional fractography, while numerical simulations utilized two-dimensional discrete-element method. Specimens with bedding angles of 0°, 30°, 60°, and 90° were tested, and the resulting fracture surfaces were evaluated using fractal dimension, joint roughness coefficient, and statistical morphological descriptors. Numerical models incorporating random bedding distributions were developed for height-to-diameter ratios of 0.5, 1.0, 2.0, and 3.0. The results show that bedding orientation governs compressive strength, elastic modulus, failure mode, and fracture-surface morphology. Compressive strength exhibits a U-shaped dependence on bedding angle, while both compressive strength and elastic modulus generally decrease as the height-to-diameter ratio increases. Fracture surfaces formed at bedding angles of 0° and 30° are relatively rough and geometrically complex, whereas those formed at 60° and 90° are smoother because failure is increasingly controlled by bedding-parallel slip or separation. Increasing the height-to-diameter ratio reduces end-constraint effects, promotes shear-crack development and damage localization, and enhances the continuity of the principal failure zone. These findings clarify the coupled effects of bedding anisotropy and specimen geometry on the failure behavior of layered rocks and provide a basis for evaluating the stability of layered rock masses.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 4","pages":""},"PeriodicalIF":4.5000,"publicationDate":"2026-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Effects of bedding angle and specimen geometry on the failure of layered rocks\",\"authors\":\"Yujie Shen, Yingxian Lang, Zhuo Dong\",\"doi\":\"10.1007/s11043-026-09913-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Layered rocks exhibit pronounced mechanical anisotropy, and their mechanical response depends on specimen geometry. This work investigates the effects of bedding angle and height-to-diameter ratio on the mechanical response, fracture morphology, and crack evolution of layered rocks. Experimental characterization combined uniaxial compression tests with three-dimensional fractography, while numerical simulations utilized two-dimensional discrete-element method. Specimens with bedding angles of 0°, 30°, 60°, and 90° were tested, and the resulting fracture surfaces were evaluated using fractal dimension, joint roughness coefficient, and statistical morphological descriptors. Numerical models incorporating random bedding distributions were developed for height-to-diameter ratios of 0.5, 1.0, 2.0, and 3.0. The results show that bedding orientation governs compressive strength, elastic modulus, failure mode, and fracture-surface morphology. Compressive strength exhibits a U-shaped dependence on bedding angle, while both compressive strength and elastic modulus generally decrease as the height-to-diameter ratio increases. Fracture surfaces formed at bedding angles of 0° and 30° are relatively rough and geometrically complex, whereas those formed at 60° and 90° are smoother because failure is increasingly controlled by bedding-parallel slip or separation. Increasing the height-to-diameter ratio reduces end-constraint effects, promotes shear-crack development and damage localization, and enhances the continuity of the principal failure zone. These findings clarify the coupled effects of bedding anisotropy and specimen geometry on the failure behavior of layered rocks and provide a basis for evaluating the stability of layered rock masses.</p></div>\",\"PeriodicalId\":698,\"journal\":{\"name\":\"Mechanics of Time-Dependent Materials\",\"volume\":\"30 4\",\"pages\":\"\"},\"PeriodicalIF\":4.5000,\"publicationDate\":\"2026-09-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mechanics of Time-Dependent Materials\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11043-026-09913-0\",\"RegionNum\":4,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, CHARACTERIZATION & TESTING\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Time-Dependent Materials","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1007/s11043-026-09913-0","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}
Effects of bedding angle and specimen geometry on the failure of layered rocks
Layered rocks exhibit pronounced mechanical anisotropy, and their mechanical response depends on specimen geometry. This work investigates the effects of bedding angle and height-to-diameter ratio on the mechanical response, fracture morphology, and crack evolution of layered rocks. Experimental characterization combined uniaxial compression tests with three-dimensional fractography, while numerical simulations utilized two-dimensional discrete-element method. Specimens with bedding angles of 0°, 30°, 60°, and 90° were tested, and the resulting fracture surfaces were evaluated using fractal dimension, joint roughness coefficient, and statistical morphological descriptors. Numerical models incorporating random bedding distributions were developed for height-to-diameter ratios of 0.5, 1.0, 2.0, and 3.0. The results show that bedding orientation governs compressive strength, elastic modulus, failure mode, and fracture-surface morphology. Compressive strength exhibits a U-shaped dependence on bedding angle, while both compressive strength and elastic modulus generally decrease as the height-to-diameter ratio increases. Fracture surfaces formed at bedding angles of 0° and 30° are relatively rough and geometrically complex, whereas those formed at 60° and 90° are smoother because failure is increasingly controlled by bedding-parallel slip or separation. Increasing the height-to-diameter ratio reduces end-constraint effects, promotes shear-crack development and damage localization, and enhances the continuity of the principal failure zone. These findings clarify the coupled effects of bedding anisotropy and specimen geometry on the failure behavior of layered rocks and provide a basis for evaluating the stability of layered rock masses.
期刊介绍:
Mechanics of Time-Dependent Materials accepts contributions dealing with the time-dependent mechanical properties of solid polymers, metals, ceramics, concrete, wood, or their composites. It is recognized that certain materials can be in the melt state as function of temperature and/or pressure. Contributions concerned with fundamental issues relating to processing and melt-to-solid transition behaviour are welcome, as are contributions addressing time-dependent failure and fracture phenomena. Manuscripts addressing environmental issues will be considered if they relate to time-dependent mechanical properties.
The journal promotes the transfer of knowledge between various disciplines that deal with the properties of time-dependent solid materials but approach these from different angles. Among these disciplines are: Mechanical Engineering, Aerospace Engineering, Chemical Engineering, Rheology, Materials Science, Polymer Physics, Design, and others.