Huidong Cao , Jianfeng Zhao , Ali Arab , Tianyang Du , Shiqi Liu , Chunwei Zhang
{"title":"应变速率对I型和I/II混合模态混凝土裂纹扩展和断裂韧性的影响","authors":"Huidong Cao , Jianfeng Zhao , Ali Arab , Tianyang Du , Shiqi Liu , Chunwei Zhang","doi":"10.1016/j.tafmec.2025.105210","DOIUrl":null,"url":null,"abstract":"<div><div>Although the fracture toughness of concrete materials has been widely studied at different loading rates, the concrete crack propagation and the failure process, which are of great significance to understand the failure mechanism concrete, have been rarely studied. This study conducts the fracture tests at different loading-rate on Semi-circular bending (SCB) specimens with different pre-notched angles by universal testing machine and Split Hopkinson Pressure Bar (SHPB). Digital Image Correlation (DIC) technology is applied to analyze the fracture process of concrete SCB specimens in detail. A new method has been proposed to determine the coordinated time between the SHPB signal and the history of DIC, thereby determining the crack initiation and termination of concrete. The failure on the concrete surface is mainly interfacial transition zone (ITZ) failure, while inside the concrete, the combined failure of aggregates, mortar, and ITZ constitutes the overall fracture at low loading rate. The results show that the peak load of the specimen and its variability increase with loading rate and pre-notched angle, with variability being more sensitive to pre-notched angle. Additionally, as the loading rate increases, the crack propagation speed also increases. The excessively high loading rates should not be used to achieve the expected fracture mode (mode I and mixed mode I/II), and it will overestimate the real value of the fracture toughness. For specimens with <em>β</em> = 0° and 45°, <span><math><mover><mi>K</mi><mo>̇</mo></mover></math></span> <sub>eff</sub> should not exceed 212.44 <span><math><mrow><mi>GPa</mi><mo>∙</mo><msup><mrow><mi>m</mi></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msup><mo>/</mo><mi>s</mi></mrow></math></span> and 226.63 <span><math><mrow><mi>GPa</mi><mo>∙</mo><msup><mrow><mi>m</mi></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msup><mo>/</mo><mi>s</mi></mrow></math></span> for the specimens in the test, respectively. In addition, by inverting the maximum tangential stress (MTS) criterion, the dynamic tensile strength of pre-notched concrete SCB specimens has been determined. This innovative and effective method solves the previously unresolved challenge of calculating dynamic tensile strength in pre-notched SCB specimens. When the loading rates are 3.95 m/s and 4.79 m/s, the tensile strengths of the concrete are 11.63 MPa and 23.45 MPa respectively, and the strain rates are 10.78 s<sup>−1</sup> and 88.65 s<sup>−1</sup> respectively.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"140 ","pages":"Article 105210"},"PeriodicalIF":5.6000,"publicationDate":"2025-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Effect of strain rate on crack propagation and fracture toughness of the concrete at mode I and mixed mode I/II\",\"authors\":\"Huidong Cao , Jianfeng Zhao , Ali Arab , Tianyang Du , Shiqi Liu , Chunwei Zhang\",\"doi\":\"10.1016/j.tafmec.2025.105210\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Although the fracture toughness of concrete materials has been widely studied at different loading rates, the concrete crack propagation and the failure process, which are of great significance to understand the failure mechanism concrete, have been rarely studied. This study conducts the fracture tests at different loading-rate on Semi-circular bending (SCB) specimens with different pre-notched angles by universal testing machine and Split Hopkinson Pressure Bar (SHPB). Digital Image Correlation (DIC) technology is applied to analyze the fracture process of concrete SCB specimens in detail. A new method has been proposed to determine the coordinated time between the SHPB signal and the history of DIC, thereby determining the crack initiation and termination of concrete. The failure on the concrete surface is mainly interfacial transition zone (ITZ) failure, while inside the concrete, the combined failure of aggregates, mortar, and ITZ constitutes the overall fracture at low loading rate. The results show that the peak load of the specimen and its variability increase with loading rate and pre-notched angle, with variability being more sensitive to pre-notched angle. Additionally, as the loading rate increases, the crack propagation speed also increases. The excessively high loading rates should not be used to achieve the expected fracture mode (mode I and mixed mode I/II), and it will overestimate the real value of the fracture toughness. For specimens with <em>β</em> = 0° and 45°, <span><math><mover><mi>K</mi><mo>̇</mo></mover></math></span> <sub>eff</sub> should not exceed 212.44 <span><math><mrow><mi>GPa</mi><mo>∙</mo><msup><mrow><mi>m</mi></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msup><mo>/</mo><mi>s</mi></mrow></math></span> and 226.63 <span><math><mrow><mi>GPa</mi><mo>∙</mo><msup><mrow><mi>m</mi></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msup><mo>/</mo><mi>s</mi></mrow></math></span> for the specimens in the test, respectively. In addition, by inverting the maximum tangential stress (MTS) criterion, the dynamic tensile strength of pre-notched concrete SCB specimens has been determined. This innovative and effective method solves the previously unresolved challenge of calculating dynamic tensile strength in pre-notched SCB specimens. When the loading rates are 3.95 m/s and 4.79 m/s, the tensile strengths of the concrete are 11.63 MPa and 23.45 MPa respectively, and the strain rates are 10.78 s<sup>−1</sup> and 88.65 s<sup>−1</sup> respectively.</div></div>\",\"PeriodicalId\":22879,\"journal\":{\"name\":\"Theoretical and Applied Fracture Mechanics\",\"volume\":\"140 \",\"pages\":\"Article 105210\"},\"PeriodicalIF\":5.6000,\"publicationDate\":\"2025-08-30\",\"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/S0167844225003684\",\"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/S0167844225003684","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}
Effect of strain rate on crack propagation and fracture toughness of the concrete at mode I and mixed mode I/II
Although the fracture toughness of concrete materials has been widely studied at different loading rates, the concrete crack propagation and the failure process, which are of great significance to understand the failure mechanism concrete, have been rarely studied. This study conducts the fracture tests at different loading-rate on Semi-circular bending (SCB) specimens with different pre-notched angles by universal testing machine and Split Hopkinson Pressure Bar (SHPB). Digital Image Correlation (DIC) technology is applied to analyze the fracture process of concrete SCB specimens in detail. A new method has been proposed to determine the coordinated time between the SHPB signal and the history of DIC, thereby determining the crack initiation and termination of concrete. The failure on the concrete surface is mainly interfacial transition zone (ITZ) failure, while inside the concrete, the combined failure of aggregates, mortar, and ITZ constitutes the overall fracture at low loading rate. The results show that the peak load of the specimen and its variability increase with loading rate and pre-notched angle, with variability being more sensitive to pre-notched angle. Additionally, as the loading rate increases, the crack propagation speed also increases. The excessively high loading rates should not be used to achieve the expected fracture mode (mode I and mixed mode I/II), and it will overestimate the real value of the fracture toughness. For specimens with β = 0° and 45°, eff should not exceed 212.44 and 226.63 for the specimens in the test, respectively. In addition, by inverting the maximum tangential stress (MTS) criterion, the dynamic tensile strength of pre-notched concrete SCB specimens has been determined. This innovative and effective method solves the previously unresolved challenge of calculating dynamic tensile strength in pre-notched SCB specimens. When the loading rates are 3.95 m/s and 4.79 m/s, the tensile strengths of the concrete are 11.63 MPa and 23.45 MPa respectively, and the strain rates are 10.78 s−1 and 88.65 s−1 respectively.
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.