{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,1]],"date-time":"2025-11-01T13:52:05Z","timestamp":1762005125947,"version":"build-2065373602"},"reference-count":51,"publisher":"MDPI AG","issue":"19","license":[{"start":{"date-parts":[[2019,10,6]],"date-time":"2019-10-06T00:00:00Z","timestamp":1570320000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"State Key Research and Development Plan, China","award":["2017YFC0703904"],"award-info":[{"award-number":["2017YFC0703904"]}]},{"name":"Key Scientific and Technological Research Project of University in Henan, China","award":["14B560004; 12A560008"],"award-info":[{"award-number":["14B560004; 12A560008"]}]},{"name":"Innovative Sci-Tech Team of Eco-building Material and Structural Engineering of Henan Province, China","award":["YKRZ-6-066"],"award-info":[{"award-number":["YKRZ-6-066"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Materials"],"abstract":"<jats:p>Concerning the structural applications of steel fiber reinforced expanded-shales lightweight concrete (SFRELC), the present study focuses on the flexural fatigue performance of SFRELC superposed beams with initial static-load cracks. Nine SFRELC superposed beams were fabricated with the SFRELC depth varying from 50% to 70% of the whole sectional depth, and the volume fraction of steel fiber ranged from 0.8% to 1.6%. The fatigue load exerted on the beams was a constant amplitude sinusoid with a frequency of 10 Hz and a fatigue characteristic value of 0.10; the upper limit was taken as the load corresponded to the maximum crack width of 0.20 mm at the barycenter of the longitudinal rebars. The results showed that with the increase of SFRELC depth and the volume fraction of steel fiber, the fatigue life of the test beams was prolonged with three altered failure modes due to the crush of conventional concrete in the compression zone and\/or the fracture of the tensile rebar; the failure pattern could be more ductile by the prevention of fatigue fracture by the longitudinal tensile rebar when the volume fraction of steel fiber was 1.6% and the reduction of crack growth and concrete strain in the compression zone; the fatigue life of test beams was sensitive to the upper-limit of the fatigue load, a short fatigue life appeared from the higher stress level and larger stress amplitude of the longitudinal rebar due to the higher upper-limit of the fatigue load. The methods for predicting the stress level, the stress amplitude of the longitudinal tensile rebar, and the degenerated flexural stiffness of SFRELC superposed beams with fatigue life are proposed. With the optimal composites of the SFRELC depth ratio and the volume fraction of steel fiber, the controllable failure of reinforced SFRELC superposed beams could be a good prospect with the trend curves of fatigue flexural stiffness.<\/jats:p>","DOI":"10.3390\/ma12193261","type":"journal-article","created":{"date-parts":[[2019,10,7]],"date-time":"2019-10-07T03:34:01Z","timestamp":1570419241000},"page":"3261","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Flexural Fatigue Performance of Steel Fiber Reinforced Expanded-Shales Lightweight Concrete Superposed Beams with Initial Static-Load Cracks"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2588-7408","authenticated-orcid":false,"given":"Fulai","family":"Qu","sequence":"first","affiliation":[{"name":"School of Civil Engineering and Communications, North China University of Water Resources and Electric Power, Zhengzhou 450045, China"},{"name":"International Joint Research Lab for Eco-Building Materials and Engineering of Henan, North China University of Water Resources and Electric Power, Zhengzhou 450045, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4823-7723","authenticated-orcid":false,"given":"Changyong","family":"Li","sequence":"additional","affiliation":[{"name":"School of Civil Engineering and Communications, North China University of Water Resources and Electric Power, Zhengzhou 450045, China"},{"name":"International Joint Research Lab for Eco-Building Materials and Engineering of Henan, North China University of Water Resources and Electric Power, Zhengzhou 450045, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chao","family":"Peng","sequence":"additional","affiliation":[{"name":"International Joint Research Lab for Eco-Building Materials and Engineering of Henan, North China University of Water Resources and Electric Power, Zhengzhou 450045, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinxin","family":"Ding","sequence":"additional","affiliation":[{"name":"School of Civil Engineering and Communications, North China University of Water Resources and Electric Power, Zhengzhou 450045, China"},{"name":"International Joint Research Lab for Eco-Building Materials and Engineering of Henan, North China University of Water Resources and Electric Power, Zhengzhou 450045, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaowu","family":"Hu","sequence":"additional","affiliation":[{"name":"School of Civil Engineering and Communications, North China University of Water Resources and Electric Power, Zhengzhou 450045, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liyun","family":"Pan","sequence":"additional","affiliation":[{"name":"School of Civil Engineering and Communications, North China University of Water Resources and Electric Power, Zhengzhou 450045, China"},{"name":"Henan Provincial Collaborative Innovation Center for Water Resources High-efficient Utilization and Support Engineering, Zhengzhou 450046, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,10,6]]},"reference":[{"key":"ref_1","unstructured":"Ministry of Housing and Urban-Rural Construction of the People\u2019s Republic of China (2002). Technical Specification of Lightweight Aggregate Concrete, (In Chinese)."},{"key":"ref_2","unstructured":"Standardization Administration of the People\u2019s Republic of China (2010). Lightweight Aggregates and Its Test Methods\u2014Part 1: Lightweight Aggregates, (In Chinese)."},{"key":"ref_3","unstructured":"Zhao, M.S., Ma, Y.Y., Pan, L.Y., and Li, C.Y. (2015). An Overview of Study on Natural Lightweight Aggregate for Concrete in China, DEStech Publications, Inc."},{"key":"ref_4","unstructured":"Ma, Y.Y., Fan, Y.J., Pan, L.Y., and Li, C.Y. (2015). Study and Application of Cinder as Lightweight Aggregate of Concrete in China, DEStech Publications, Inc."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Zhao, M.S., Zhang, X.Y., Song, W.H., Li, C.Y., and Zhao, S.B. (2018). Development of steel fiber reinforced expanded-shale lightweight concrete with high freeze-thaw resistance. Adv. Mater. Sci. Eng.","DOI":"10.1155\/2018\/9573849"},{"key":"ref_6","unstructured":"Ministry of Housing and Urban-Rural Construction of the People\u2019s Republic of China (2006). Technical Specification for Lightweight Aggregate Concrete Structures, (In Chinese)."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"452","DOI":"10.1016\/j.conbuildmat.2012.07.071","article-title":"Lightweight aggregate concrete fiber reinforcement\u2014A review","volume":"37","author":"Hassanpour","year":"2012","journal-title":"Constr. Build. Mater."},{"key":"ref_8","first-page":"233","article-title":"Experimental study on mechanical properties of steel fiber reinforced full lightweight concrete","volume":"212","author":"Zhao","year":"2011","journal-title":"Geotech. Special Pub."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"911","DOI":"10.4028\/www.scientific.net\/AMR.197-198.911","article-title":"Experimental study on mechanical properties of hybrid fiber reinforced full lightweight aggregate concrete","volume":"197","author":"Pan","year":"2011","journal-title":"Adv. Mater. Res."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"12","DOI":"10.4028\/www.scientific.net\/AMR.366.12","article-title":"Mechanical properties of steel fiber reinforced light-aggregate concrete","volume":"366","author":"Li","year":"2012","journal-title":"Adv. Mater. Res."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1016\/j.conbuildmat.2018.06.178","article-title":"An experimental study on strength and toughness of steel fiber reinforced expanded-shale lightweight concrete","volume":"183","author":"Zhao","year":"2018","journal-title":"Constr. Build. Mater."},{"key":"ref_12","first-page":"1","article-title":"Study on complete stress-strain curves of steel fiber reinforced lightweight-aggregate concrete under uniaxial compression","volume":"5","author":"Zhao","year":"2019","journal-title":"J. Build. Struct."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Zhao, M.S., Zhang, B.X., Shang, P.R., Fu, Y., Zhang, X.Y., and Zhao, S.B. (2019). Complete stress-strain curve of self-compacting steel fiber-reinforced expanded-shale lightweight concrete under uniaxial compression. Materials, 18.","DOI":"10.3390\/ma12182979"},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Zhao, S.B., Li, C.Y., Zhao, M.S., and Zhang, X.Y. (2016). Experimental study on autogenous and drying shrinkage of steel fiber reinforced lightweight-aggregate concrete. Adv. Mater. Sci. Eng.","DOI":"10.1155\/2016\/2589383"},{"key":"ref_15","first-page":"276","article-title":"Bond performance of deformed rebar in steel fiber reinforced lightweight-aggregate concrete affected by multi-factors","volume":"3","author":"Zhao","year":"2018","journal-title":"Civ. Eng. J."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"454","DOI":"10.1016\/j.conbuildmat.2019.03.037","article-title":"Experimental study and theoretical prediction of flexural behaviors of reinforced SFRELC beams","volume":"208","author":"Zhao","year":"2019","journal-title":"Constr. Build. Mater."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Li, X.K., Li, C.Y., Zhao, M.L., Yang, H., and Zhou, S.Y. (2019). Testing and prediction of shear performance for steel fiber reinforced expanded-shale lightweight concrete beams without web reinforcements. Materials, 10.","DOI":"10.3390\/ma12101594"},{"key":"ref_18","first-page":"800","article-title":"Flexural behavior of reinforced concrete beams superposing with partial steel fiber reinforced full-lightweight concrete","volume":"438","author":"Li","year":"2013","journal-title":"Appl. Mechan. Mater."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"667","DOI":"10.4028\/www.scientific.net\/AMM.438-439.667","article-title":"Research of punching performance of reinforced SFRLAC superposed two-way slabs","volume":"438","author":"Pei","year":"2013","journal-title":"Appl. Mechan. Mater."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Nes, L.G., and \u00d8verli, J.A. (2015). Structural behaviour of layered beams with fibre-reinforced LWAC and normal density concrete. Mater. Struct.","DOI":"10.1617\/s11527-015-0530-9"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1672","DOI":"10.1016\/j.matdes.2006.03.017","article-title":"A design method for two-layer beams consisting of normal and fibered high strength concrete","volume":"5","author":"Iskhakov","year":"2007","journal-title":"Mater. Des."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"513","DOI":"10.1080\/15376494.2011.556840","article-title":"Laboratory tests of two-layer beams consisting of normal and fibered high strength concrete: Ductility and technological aspects","volume":"19","author":"Holschemacher","year":"2012","journal-title":"Mechan. Adv. Mater. Struct."},{"key":"ref_23","first-page":"257","article-title":"Experimental study on flexural capacity of reinforced SFRFLC superposed beams","volume":"2","author":"Li","year":"2015","journal-title":"J. Build. Struct."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"727","DOI":"10.2174\/1874149501610010727","article-title":"Cracking resistance of reinforced SFRFLC superposed beams with partial ordinary concrete in compression zone","volume":"10","author":"Li","year":"2016","journal-title":"Open Civ. Eng. J."},{"key":"ref_25","first-page":"16","article-title":"Experimental study on crack width of reinforced HSC-on-SFRFLC superposed beams","volume":"44","author":"Li","year":"2016","journal-title":"Adv. Eng. Res."},{"key":"ref_26","first-page":"43","article-title":"Experimental research on flexural stiffness of reinforced steel fiber reinforced full-lightweight concrete superposed beams","volume":"1","author":"Pan","year":"2015","journal-title":"J. North China Univ. Water Resour. Electric Power (Nat. Sci. Ed.)"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1016\/j.engstruct.2014.05.010","article-title":"Fatigue performance of plain and steel fibre reinforced self compacting concrete using S-N relationship","volume":"74","author":"Goel","year":"2014","journal-title":"Eng. Struct."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"012067","DOI":"10.1088\/1757-899X\/274\/1\/012067","article-title":"Fatigue behavior of steel fiber reinforced high-strength concrete under different stress levels","volume":"274","author":"Zhang","year":"2017","journal-title":"IOP Conf. Series: Mater. Sci. Eng."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1016\/j.cemconcomp.2016.07.007","article-title":"Compressive fatigue performance of fiber-reinforced lightweight concrete with high-volume supplementary cementitious materials","volume":"73","author":"Choi","year":"2016","journal-title":"Cem. Concr. Compos."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"138","DOI":"10.1016\/j.conbuildmat.2016.01.007","article-title":"Proposal for the fatigue strength of concrete under cycles of compression","volume":"107","author":"Lantsoght","year":"2016","journal-title":"Constr. Build. Mater."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1061\/(ASCE)0899-1561(2010)22:1(65)","article-title":"Evaluation of the low-cycle fatigue life in ASTM A706 and A615 grade 60 steel reinforcing bars","volume":"22","author":"Hawileh","year":"2010","journal-title":"J. Mater. Civ. Eng."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"11","DOI":"10.3233\/BRS-160100","article-title":"Fatigue assessment of a lightweight steel-concrete bridge deck concept","volume":"12","author":"Boel","year":"2016","journal-title":"Bridge Struct."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"847","DOI":"10.12989\/sem.2011.40.6.847","article-title":"Influence of high-cycle fatigue on the tension stiffening behavior of flexural reinforced lightweight aggregate concrete beams","volume":"40","author":"Chen","year":"2011","journal-title":"Struct. Eng. Mechan."},{"key":"ref_34","first-page":"16","article-title":"Experimental study on shear fatigue behavior of reinforced SFRFLC superposed beams","volume":"6","author":"Li","year":"2017","journal-title":"J. North China Univ. Water Resour. Electric Power"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"779","DOI":"10.1016\/S0958-9465(02)00102-6","article-title":"Fatigue strength of steel fibrous concrete in flexure","volume":"25","author":"Singh","year":"2003","journal-title":"Cem. Concr. Compos."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"4229","DOI":"10.1617\/s11527-015-0783-3","article-title":"Post-peak fatigue performance of steel fiber reinforced concrete under flexure","volume":"49","author":"Germano","year":"2016","journal-title":"Mater. Struct."},{"key":"ref_37","first-page":"673","article-title":"Flexural fatigue strength of steel fiber reinforced concrete beams","volume":"11","author":"Batson","year":"1972","journal-title":"ACI J."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1016\/j.engstruct.2012.02.035","article-title":"Felxural fatigue strength and failure probability of self compacting fibre reinforced concrete beams","volume":"40","author":"Goel","year":"2012","journal-title":"Eng. Struct."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"04018151","DOI":"10.1061\/(ASCE)MT.1943-5533.0002351","article-title":"Experimental investigations and numerical simulations on the flexural fatigue behaviors of plain and fiber-reinforced concrete beams","volume":"8","author":"Banjara","year":"2018","journal-title":"J. Mater. Civ. Eng."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"04014117","DOI":"10.1061\/(ASCE)ST.1943-541X.0001074","article-title":"Fatigue behavior of steel-fiber-reinforced concrete beams","volume":"4","author":"Parvez","year":"2015","journal-title":"J. Struct. Eng."},{"key":"ref_41","unstructured":"Ministry of Housing and Urban-Rural Construction of the People\u2019s Republic of China (2011). Design Code for Concrete Structures, (In Chinese)."},{"key":"ref_42","unstructured":"General Administration of Quality Supervision, Inspection and Quarantine of the People\u2019s Republic of China (2007). Common Portland Cement, (In Chinese)."},{"key":"ref_43","unstructured":"General Administration of Quality Supervision, Inspection and Quarantine of the People\u2019s Republic of China (2005). Fly Ash Used for Cement and Concrete, (In Chinese)."},{"key":"ref_44","unstructured":"Ministry of Housing and Urban-Rural Construction of the People\u2019s Republic of China (2011). Specification for Mix Proportion Design of Ordinary Concrete, (In Chinese)."},{"key":"ref_45","unstructured":"Ministry of Housing and Urban-Rural Construction of the People\u2019s Republic of China (2015). Steel Fiber Reinforced Concrete, (In Chinese)."},{"key":"ref_46","unstructured":"Ministry of Housing and Urban-Rural Construction of the People\u2019s Republic of China (2002). Standard for Test Method of Performance on Ordinary Fresh Concrete, (In Chinese)."},{"key":"ref_47","unstructured":"Ministry of Housing and Urban-Rural Construction of the People\u2019s Republic of China (2002). Standard for Test Method of Mechanical Properties on Ordinary Concrete, (In Chinese)."},{"key":"ref_48","unstructured":"Ministry of Housing and Urban-Rural Construction of the People\u2019s Republic of China (2012). Standard for Testing Method of Concrete Structures, (In Chinese)."},{"key":"ref_49","first-page":"143","article-title":"Full-range nonlinear analysis of fatigue behaviors of reinforced concrete structures by finite element method","volume":"1","author":"Song","year":"1994","journal-title":"Acta Oceanol. Sin."},{"key":"ref_50","first-page":"289","article-title":"Experimental study on fatigue behaviors of reinforced concrete plates","volume":"3","author":"Zhao","year":"1999","journal-title":"J. Basic Sci Eng."},{"key":"ref_51","first-page":"467","article-title":"Experimental research on shear behavior of reinforced concrete composite beams under uniformly distributed load","volume":"4","author":"Zhao","year":"1998","journal-title":"China Ocean Eng."}],"container-title":["Materials"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1996-1944\/12\/19\/3261\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T13:27:57Z","timestamp":1760189277000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1996-1944\/12\/19\/3261"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,10,6]]},"references-count":51,"journal-issue":{"issue":"19","published-online":{"date-parts":[[2019,10]]}},"alternative-id":["ma12193261"],"URL":"https:\/\/doi.org\/10.3390\/ma12193261","relation":{},"ISSN":["1996-1944"],"issn-type":[{"type":"electronic","value":"1996-1944"}],"subject":[],"published":{"date-parts":[[2019,10,6]]}}}