{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,25]],"date-time":"2026-02-25T04:32:47Z","timestamp":1771993967098,"version":"3.50.1"},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2024,12,28]],"date-time":"2024-12-28T00:00:00Z","timestamp":1735344000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"},{"start":{"date-parts":[[2024,12,28]],"date-time":"2024-12-28T00:00:00Z","timestamp":1735344000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52374097"],"award-info":[{"award-number":["52374097"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52304095"],"award-info":[{"award-number":["52304095"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52274086"],"award-info":[{"award-number":["52274086"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Project of Taishan Scholar in Shandong Province","award":["tstp20221126"],"award-info":[{"award-number":["tstp20221126"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Sci Rep"],"DOI":"10.1038\/s41598-024-81956-0","type":"journal-article","created":{"date-parts":[[2024,12,28]],"date-time":"2024-12-28T03:24:06Z","timestamp":1735356246000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Bending energy storage mechanical model of layered composite roof structure in coal mining"],"prefix":"10.1038","volume":"14","author":[{"given":"Peng-fei","family":"Zhang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xue-bin","family":"Gu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei-yao","family":"Guo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tong-bin","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xu-fei","family":"Gong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhi-qian","family":"Zhu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lei","family":"Guo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,12,28]]},"reference":[{"issue":"1","key":"81956_CR1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.ghm.2022.12.002","volume":"1","author":"YS Pan","year":"2023","unstructured":"Pan, Y. S. & Wang, A. W. Disturbance response instability theory of rock bursts in coal mines and its application. Geohazard Mech. 1 (1), 1\u201317 (2023).","journal-title":"Geohazard Mech."},{"issue":"03","key":"81956_CR2","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1016\/j.ijmst.2022.01.006","volume":"32","author":"C Pan","year":"2022","unstructured":"Pan, C., Xia, B. W., Zuo, Y. J., Yu, B. & Ou, C. N. Mechanism and control technology of strong ground pressure behaviour induced by high-position hard roofs in extra-thick coal seam mining. Int. J. Min. Sci. Technol. 32 (03), 499\u2013511 (2022).","journal-title":"Int. J. Min. Sci. Technol."},{"issue":"11","key":"81956_CR3","doi-asserted-by":"publisher","first-page":"6863","DOI":"10.1007\/s00603-022-03002-7","volume":"55","author":"ZL He","year":"2022","unstructured":"He, Z. L. et al. Numerical and field investigations of rockburst mechanisms triggered by thick-hard roof fracturing. Rock. Mech. Rock. Eng. 55 (11), 6863\u20136886 (2022).","journal-title":"Rock. Mech. Rock. Eng."},{"issue":"3","key":"81956_CR4","doi-asserted-by":"publisher","first-page":"05024001","DOI":"10.1061\/IJGNAI.GMENG-9042","volume":"24","author":"TB Zhao","year":"2024","unstructured":"Zhao, T. B. et al. Microseismic behavior during mining of the working face under blasting pre-splitting of hard roof. Int. J. Geomech. 24 (3), 05024001 (2024).","journal-title":"Int. J. Geomech."},{"issue":"5","key":"81956_CR5","doi-asserted-by":"publisher","first-page":"1075","DOI":"10.1016\/j.ijmst.2022.06.008","volume":"32","author":"DY Fan","year":"2022","unstructured":"Fan, D. Y., Liu, X. S., Tan, Y. L., Li, X. B. & Lkhamsuren, P. Instability energy mechanism of super-large section crossing chambers in deep coal mines. Int. J. Min. Sci. Technol. 32 (5), 1075\u20131086 (2022).","journal-title":"Int. J. Min. Sci. Technol."},{"issue":"11","key":"81956_CR6","doi-asserted-by":"publisher","first-page":"3706","DOI":"10.1007\/s11771-022-5190-7","volume":"29","author":"TB Zhao","year":"2022","unstructured":"Zhao, T. B. et al. Controlling roof with potential rock burst risk through different pre-crack length: mechanism and effect research. J. Cent. South. Univ. 29 (11), 3706\u20133719 (2022).","journal-title":"J. Cent. South. Univ."},{"key":"81956_CR7","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1016\/j.tust.2012.05.002","volume":"32","author":"H He","year":"2012","unstructured":"He, H., Dou, L. M., Fan, J., Du, T. T. & Sun, X. L. Deep-hole directional fracturing of thick hard roof for rockburst prevention. Tunn. Undergr. Space Technol. 32, 34\u201343 (2012).","journal-title":"Tunn. Undergr. Space Technol."},{"key":"81956_CR8","doi-asserted-by":"crossref","unstructured":"Zheng, W. X. et al. Stability analysis and control measures of large-span open-off cut with argillaceous cemented sandstone layered roof. Math Probl Eng. ; 2021: 8744081. (2021).","DOI":"10.1155\/2021\/8744081"},{"issue":"1","key":"81956_CR9","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1016\/j.ijmst.2016.11.001","volume":"27","author":"F Ju","year":"2017","unstructured":"Ju, F., Huang, P., Guo, S., Xiao, M. & Lan, L. X. A roof model and its application in solid backfilling mining. Int. J. Min. Sci. Technol. 27 (1), 139\u2013143 (2017).","journal-title":"Int. J. Min. Sci. Technol."},{"issue":"6","key":"81956_CR10","doi-asserted-by":"publisher","first-page":"1362","DOI":"10.3390\/en13061362","volume":"13","author":"SQ He","year":"2020","unstructured":"He, S. Q. et al. Mechanism and prevention of rockburst in steeply inclined and extremely thick coal seams for fully mechanized top-coal caving mining and under gob filling conditions. Energies 13 (6), 1362 (2020).","journal-title":"Energies"},{"issue":"6","key":"81956_CR11","doi-asserted-by":"publisher","first-page":"955","DOI":"10.1016\/j.ijmst.2018.06.006","volume":"29","author":"DF Zhu","year":"2019","unstructured":"Zhu, D. F., Tu, S. H., Tu, H. S. & Yang, Z. Q. Mechanisms of support failure and prevention measures under double-layer room mining gobs\u2014\u2014A case study: Shigetai coal mine. Int. J. Min. Sci. Technol. 29 (6), 955\u2013962 (2019).","journal-title":"Int. J. Min. Sci. Technol."},{"issue":"1","key":"81956_CR12","first-page":"71","volume":"48","author":"QX Huang","year":"2019","unstructured":"Huang, Q. X., Zhao, M. Y. & Huang, K. J. Study of roof double key strata structure and support resistance of shallow coal seams group mining. J. China Univ. Min. Technol. 48 (1), 71\u20137786 (2019). [in Chinese].","journal-title":"J. China Univ. Min. Technol."},{"issue":"3","key":"81956_CR13","doi-asserted-by":"publisher","first-page":"20","DOI":"10.1142\/S1758825119500303","volume":"11","author":"SR Wang","year":"2019","unstructured":"Wang, S. R., Wu, X. G., Zhao, Y. H., Hagan, P. & Cao, C. Evolution characteristics of composite pressure-arch in thin bedrock of overlying strata during shallow coal mining. Int. J. Appl. Mech. 11 (3), 20 (2019).","journal-title":"Int. J. Appl. Mech."},{"key":"81956_CR14","doi-asserted-by":"crossref","unstructured":"Wang, K., Yang, B. G., Wang, Z. K. & Wang, X. L. Analytical Solution for the Deformation and Support Parameters of Coal Roadway in Layered Roof Strata. Geofluids. ; 2021: 6669234. (2021).","DOI":"10.1155\/2021\/6669234"},{"key":"81956_CR15","doi-asserted-by":"publisher","first-page":"128","DOI":"10.1016\/j.tust.2018.12.004","volume":"85","author":"Q Zhang","year":"2019","unstructured":"Zhang, Q., Peng, C. H., Liu, R. C., Jiang, B. S. & Lu, M. M. Analytical solutions for the mechanical behaviors of a hard roof subjected to any form of front abutment pressures. Tunn. Undergr. Space Technol. 85, 128\u2013139 (2019).","journal-title":"Tunn. Undergr. Space Technol."},{"issue":"15","key":"81956_CR16","doi-asserted-by":"publisher","first-page":"3016","DOI":"10.3390\/en12153016","volume":"12","author":"WL Shen","year":"2019","unstructured":"Shen, W. L. et al. Mining-induced failure criteria of interactional hard roof structures: a case study. Energies 12 (15), 3016 (2019).","journal-title":"Energies"},{"issue":"3","key":"81956_CR17","doi-asserted-by":"publisher","first-page":"994","DOI":"10.1177\/01445987231157126","volume":"41","author":"WY Lv","year":"2023","unstructured":"Lv, W. Y. et al. Movement and deformation characteristics of overlying stratum in paste composite filling stope. Energ. Explor. Exploit. 41 (3), 994\u20131014 (2023).","journal-title":"Energ. Explor. Exploit."},{"key":"81956_CR18","doi-asserted-by":"publisher","first-page":"794783","DOI":"10.3389\/feart.2021.794783","volume":"9","author":"XY Zhang","year":"2022","unstructured":"Zhang, X. Y., Zhao, X. Y. & Luo, L. Structural evolution and motion characteristics of a hard roof during thickening coal seam mining. Front. Earth Sc-Switz. 9, 794783 (2022).","journal-title":"Front. Earth Sc-Switz"},{"issue":"4","key":"81956_CR19","doi-asserted-by":"publisher","first-page":"1193","DOI":"10.1007\/s00603-018-1630-y","volume":"52","author":"WB Zhu","year":"2019","unstructured":"Zhu, W. B., Chen, L., Zhou, Z. L., Shen, B. T. & Xu, Y. Failure propagation of pillars and roof in a room and pillar mine induced by longwall mining in the lower seam. Rock. Mech. Rock. Eng. 52 (4), 1193\u20131209 (2019).","journal-title":"Rock. Mech. Rock. Eng."},{"issue":"1","key":"81956_CR20","doi-asserted-by":"publisher","first-page":"18","DOI":"10.1007\/s40948-024-00735-3","volume":"10","author":"JX Dang","year":"2024","unstructured":"Dang, J. X., Tu, M., Zhang, X. Y. & Bu, Q. W. Research on the bearing characteristics of brackets in thick hard roof mining sites and the effect of blasting on roof control. Geomech. Geophys. Geo. 10 (1), 18 (2024).","journal-title":"Geomech. Geophys. Geo"},{"key":"81956_CR21","doi-asserted-by":"publisher","first-page":"103638","DOI":"10.1016\/j.tafmec.2022.103638","volume":"122","author":"S Wang","year":"2022","unstructured":"Wang, S. et al. Numerical studies on micro-cracking behavior of transversely isotropic argillaceous siltstone in Longyou Grottoes under three-point bending. Theor. Appl. Fract. Mec. 122, 103638 (2022).","journal-title":"Theor. Appl. Fract. Mec"},{"key":"81956_CR22","doi-asserted-by":"publisher","first-page":"105479","DOI":"10.1016\/j.ijrmms.2023.105479","volume":"170","author":"YJ Chai","year":"2023","unstructured":"Chai, Y. J. et al. Experimental investigation into damage and failure process of coal-rock composite structures with different roof lithologies under mining-induced stress loading. Int. J. Rock. Mech. Min. 170, 105479 (2023).","journal-title":"Int. J. Rock. Mech. Min."},{"key":"81956_CR23","doi-asserted-by":"publisher","first-page":"109387","DOI":"10.1016\/j.engfracmech.2023.109387","volume":"289","author":"XY Zhu","year":"2023","unstructured":"Zhu, X. Y. et al. Fracture damage characteristics of hard roof with different bedding angles induced by modified soundless cracking agents. Eng. Fract. Mech. 289, 109387 (2023).","journal-title":"Eng. Fract. Mech."},{"issue":"8","key":"81956_CR24","doi-asserted-by":"publisher","first-page":"e414","DOI":"10.1590\/1679-78256711","volume":"18","author":"TB Zhao","year":"2021","unstructured":"Zhao, T. B. et al. Research on mechanical properties and acoustic emission characteristics of rock beams with different lithologies and thicknesses. Lat Am. J. Solids Stru. 18 (8), e414 (2021).","journal-title":"Lat Am. J. Solids Stru"},{"key":"81956_CR25","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1016\/j.ijrmms.2017.03.004","volume":"94","author":"JZ Xu","year":"2017","unstructured":"Xu, J. Z., Zhai, C., Qin, L. & Yu, G. Q. Evaluation research of the fracturing capacity of non-explosive expansion material applied to coal-seam roof rock. Int. J. Rock. Mech. Min. 94, 103\u2013111 (2017).","journal-title":"Int. J. Rock. Mech. Min."},{"issue":"1","key":"81956_CR26","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.jrmge.2021.12.003","volume":"14","author":"XT Feng","year":"2022","unstructured":"Feng, X. T. et al. Excavation-induced deep hard rock fracturing: methodology and applications. J. Rock. Mech. Geotech. 14 (1), 1\u201334 (2022).","journal-title":"J. Rock. Mech. Geotech."},{"issue":"12","key":"81956_CR27","doi-asserted-by":"publisher","first-page":"3262","DOI":"10.1007\/s11771-016-3392-6","volume":"23","author":"FF Wu","year":"2016","unstructured":"Wu, F. F., Liu, C. Y. & Yang, J. X. Mode of overlying rock roofing structure in large mining height coal face and analysis of support resistance. J. Cent. South. Univ. 23 (12), 3262\u20133272 (2016).","journal-title":"J. Cent. South. Univ."},{"key":"81956_CR28","doi-asserted-by":"publisher","first-page":"112296","DOI":"10.1016\/j.ijsolstr.2023.112296","volume":"275","author":"W Zhang","year":"2022","unstructured":"Zhang, W., Xing, M. & Guo, W. Study on fracture characteristics of anchored sandstone with precast crack based on double K criterion. Int. J. Solids Struct. 275, 112296. https:\/\/doi.org\/10.1016\/j.ijsolstr.2023.112296 (2023).","journal-title":"Int. J. Solids Struct."},{"issue":"6","key":"81956_CR29","doi-asserted-by":"publisher","first-page":"985","DOI":"10.1016\/j.ijmst.2018.02.006","volume":"28","author":"WL Shen","year":"2018","unstructured":"Shen, W. L., Xiao, T. Q., Wang, M., Bai, J. B. & Wang, X. Y. Numerical modeling of entry position design: a field case. Int. J. Min. Sci. Technol. 28 (6), 985\u2013990 (2018).","journal-title":"Int. J. Min. Sci. Technol."},{"key":"81956_CR30","doi-asserted-by":"publisher","first-page":"105186","DOI":"10.1016\/j.ijrmms.2022.105186","volume":"158","author":"Q Wang","year":"2022","unstructured":"Wang, Q. et al. Roof-cutting and energy-absorbing method for dynamic disaster control in deep coal mine. Int. J. Rock. Mech. Min. 158, 105186 (2022).","journal-title":"Int. J. Rock. Mech. Min."},{"issue":"3","key":"81956_CR31","doi-asserted-by":"publisher","first-page":"1273","DOI":"10.1007\/s11600-023-01041-4","volume":"71","author":"YB Liang","year":"2023","unstructured":"Liang, Y. B. et al. Study on control of dynamic disaster induced by high-level ETHR fracture by ground fracturing. Acta Geophys. 71 (3), 1273\u20131287 (2023).","journal-title":"Acta Geophys."},{"issue":"8","key":"81956_CR32","doi-asserted-by":"publisher","first-page":"2725","DOI":"10.1007\/s00603-018-1616-9","volume":"52","author":"YY Lu","year":"2019","unstructured":"Lu, Y. Y., Gong, T., Xia, B. W., Yu, B. & Huang, F. Target stratum determination of surface hydraulic fracturing for far-field hard roof control in underground extra-thick coal extraction: a case study. Rock. Mech. Rock. Eng. 52 (8), 2725\u20132740 (2019).","journal-title":"Rock. Mech. Rock. Eng."},{"issue":"9","key":"81956_CR33","doi-asserted-by":"publisher","first-page":"6779","DOI":"10.1007\/s00603-023-03430-z","volume":"56","author":"Z Xia","year":"2023","unstructured":"Xia, Z. et al. Numerical study of the mechanism of dense drillings for weakening hard roofs and its application in roof cutting. Rock. Mech. Rock. Eng. 56 (9), 6779\u20136796 (2023).","journal-title":"Rock. Mech. Rock. Eng."},{"key":"81956_CR34","doi-asserted-by":"crossref","unstructured":"Wang, P., Zhang, N., Kan, J. G., Xu, X. L. & Cui, G. Z. Instability mode and control technology of surrounding rock in composite roof coal roadway under multiple dynamic pressure disturbances. Geofluids. ; 2022: 8694325. (2022).","DOI":"10.1155\/2022\/8694325"},{"key":"81956_CR35","doi-asserted-by":"crossref","unstructured":"Zhang, G. C., He, F. L. & Jiang, L. S. Analytical analysis and field observation of break line in the main roof over the goaf edge of longwall coal mines. Math Probl Eng. ; 2016: 4720867. (2016).","DOI":"10.1155\/2016\/4720867"},{"key":"81956_CR36","doi-asserted-by":"publisher","first-page":"1291359","DOI":"10.3389\/fevo.2023.1291359","volume":"11","author":"TC Li","year":"2023","unstructured":"Li, T. C., Yang, L., Zhu, Q. W., Liu, D. W. & Wang, Y. C. Research on the coupled support technology of a composite rock beam-retained roadway roof under close coal seams. Front. Ecol. Evol. 11, 1291359 (2023).","journal-title":"Front. Ecol. Evol."},{"issue":"5","key":"81956_CR37","first-page":"687","volume":"7","author":"W Cai","year":"2021","unstructured":"Cai, W., Dou, L. M., Si, G. Y. & Hu, Y. W. Fault-induced coal burst mechanism under mining-induced static and dynamic stresses. Engineering-Prc 7 (5), 687\u2013700 (2021).","journal-title":"Engineering-Prc"},{"issue":"12","key":"81956_CR38","doi-asserted-by":"publisher","first-page":"4035","DOI":"10.1007\/s11771-022-5211-6","volume":"29","author":"YY Chen","year":"2022","unstructured":"Chen, Y. Y. et al. Formation mechanism of rockburst in deep tunnel adjacent to faults: implication from numerical simulation and microseismic monitoring. J. Cent. South. Univ. 29 (12), 4035\u20134050 (2022).","journal-title":"J. Cent. South. Univ."},{"issue":"5","key":"81956_CR39","first-page":"2025","volume":"39","author":"Q Sun","year":"2022","unstructured":"Sun, Q., Jiang, Y. Z., Ma, D., Zhang, J. X. & Huang, Y. L. Mechanical model and engineering measurement analysis of structural stability of key aquiclude strata. Min. Metall. Explor. 39 (5), 2025\u20132035 (2022).","journal-title":"Min. Metall. Explor."},{"key":"81956_CR40","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1007\/s40948-023-00635-y","volume":"9","author":"W Zhang","year":"2023","unstructured":"Zhang, W., Zhao, T. & Zhang, X. Stability analysis and deformation control method of swelling soft rock roadway adjacent to chambers. Geomech. Geophys. Geo-energ. Geo-resour. 9, 91. https:\/\/doi.org\/10.1007\/s40948-023-00635-y (2023).","journal-title":"Geomech. Geophys. Geo-energ. Geo-resour."}],"container-title":["Scientific Reports"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.nature.com\/articles\/s41598-024-81956-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.nature.com\/articles\/s41598-024-81956-0","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.nature.com\/articles\/s41598-024-81956-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,28]],"date-time":"2024-12-28T17:02:36Z","timestamp":1735405356000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.nature.com\/articles\/s41598-024-81956-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,12,28]]},"references-count":40,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2024,12]]}},"alternative-id":["81956"],"URL":"https:\/\/doi.org\/10.1038\/s41598-024-81956-0","relation":{},"ISSN":["2045-2322"],"issn-type":[{"value":"2045-2322","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,12,28]]},"assertion":[{"value":"29 June 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 December 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 December 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}],"article-number":"30976"}}