of PhD thesis For the mode I rock fracture toughness measurement,three standard methods have been recommended by the ISRM,but there has not been a standard method for the determination of mode II and mixed mode I-II r...of PhD thesis For the mode I rock fracture toughness measurement,three standard methods have been recommended by the ISRM,but there has not been a standard method for the determination of mode II and mixed mode I-II rock fracture toughness. However mode II and mixed mode I-II fracturing of rock structures is more commonly observed than mode I in various geological and structural engineering settings. So it is of great important to thoroughly research these rock fracture problems and establish a standard method for determining the mode II or mixed mode I-II fracture toughness for rock materials. Based on the progress made for mode I rock fracture research,the cracked chevron notched Brazilian disk (CCNBD) specimen was also introduced for mode II and mixed mode I-II rock fracture toughness measurement. When the crack is orientated at an angle with respect to the diametrical loading,the crack of the CCNBD specimen is exposed to the mode II or mixed mode I-II stress distribution conditions. The solutions for stress intensity factors in the vicinity of the crack tip have been evaluated by the stepwise superimposition technique. In order to make sure that the theoretical analysis is correct,numerical calculation method has been employed to calibrate the theoretical results. It has been proved that the theoretical results yielded by the dislocation method are correct and reliable. According to the characteristic that the propagation of the crack in the CCNBD specimen is in its own plane and application of the energy superposition principle,the stress intensity factor of the mixed mode I-II has been defined in dimensionless terms as 212II2Imix])()[(***+=YYY. It was found that the curve of *mixY was concave. There exists a lowest point which corresponds to the maximum external load and indicates the crack has reached its critical state. Since the values of ***IIImix and YYY, are only dependent on the specimen geometry (qaaa and 10B,,),the critical values of ***IIImix and YYY, can be to known as long as the CCNBD specimen is prepared ready. It is only necessary to record the maximum load during the fracture tests. The fracture locus is very useful to know whether the crack in a rock structure has reached its critical condition. According to the amount of practical fracture testing data obtained,the rock fracturing locus was found to be 123IICII23ICI=+KKKK and the S-critical criterion was found to be more suitable for rock mixed mode I-II fracturing assessment.展开更多
The extended finite element method（X-FEM） is a novel numerical methodology with a great potential for using in multi-scale computation and multi-phase coupling problems. The algorithm is discussed and a program is d...The extended finite element method（X-FEM） is a novel numerical methodology with a great potential for using in multi-scale computation and multi-phase coupling problems. The algorithm is discussed and a program is developed based on X-FEM for simulating mixed-mode crack propagation. The maximum circumferential stress criterion and interaction integral are deduced. Some numerical results are compared with the experimental data to prove the capability and efficiency of the algorithm and the program. Numerical analyses of sub-interfacial crack growth in bi-materials give a clear description of the effiect on fracture made by interface and loading condition.展开更多
Three types of rock specimens, three-point bending specim en , anti-symmetric four-point bending specimen and direct shearing specimen, wer e used to achieve Mode Ⅰ, Mode Ⅱ and mixed mode Ⅰ-Ⅱ fracture, respectivel...Three types of rock specimens, three-point bending specim en , anti-symmetric four-point bending specimen and direct shearing specimen, wer e used to achieve Mode Ⅰ, Mode Ⅱ and mixed mode Ⅰ-Ⅱ fracture, respectively . Microscopic characteristics of the three fracture modes of brittle rock were s tudied by SEM technique in order to analyze fracture behaviors and better understand fr acture mechanisms of different fracture modes of brittle rock. Test results show that the microscopic characteristics of different fracture modes correspond to different fracture mechanisms. The surface of Mode Ⅰ fracture has a great numbe r of sparse and steep slip-steps with few tearing ridges and shows strong britt leness. In the surface of Mode Ⅱ fracture there exist many tearing ridges and d ensely distributed parallel slip-steps and it is attributed to the action of sh ear stress. The co-action of tensile and shear stresses results in brittle clea v age planes mixed with streamline patterns and tearing ridges in the surface of m ixed mode Ⅰ-Ⅱ fracture. The measured Mode Ⅱ fracture toughness K ⅡC and mixed mode Ⅰ-Ⅱ fracture toughness K mC are larger than Mode Ⅰ fracture t oughness K ⅠC . K ⅡC is about 3.5 times K ⅠC , a nd K mC is about 1.2 times K ⅠC .展开更多
Hydraulic fracturing in the soil core of earth-rockfill dams is a common problem affecting the safety of the dams. Based on fracture tests, a new criterion for hydraulic fracturing in cohesive soil was suggested. Usin...Hydraulic fracturing in the soil core of earth-rockfill dams is a common problem affecting the safety of the dams. Based on fracture tests, a new criterion for hydraulic fracturing in cohesive soil was suggested. Using this criterion, the mechanisms of hydraulic fracturing in cubic soil specimens were investigated. The results indicate that the propagation of the crack in a cubic specimen under water pressure occurs in a mixed mode I-II if the crack face is not perpendicular to any of the principal stresses, and the crack most likely to propagate is the one that is perpendicular to the minor principal stress and propagates in mode I.展开更多
This paper intensively explores the critical issues related to the quantitative and accurate evaluations of FCG behavior in the early stage,macro fatigue fracture toughness,and the critical crack size for damage toler...This paper intensively explores the critical issues related to the quantitative and accurate evaluations of FCG behavior in the early stage,macro fatigue fracture toughness,and the critical crack size for damage tolerance in nuclear graphite.To address these issues,scale-span FCG tests were carried out using two typical specimens,CT and SEM in-situ specimens.These results indicate that the FCG threshold and the effective FCG length have a significant correlation with the modified maximum loop stress theory for a mixed I/II mode.In particular,the effective FCG length(aeq)and the applied stress threshold of polycrystalline graphite are important parameters for fatigue damage tolerance design in engineering application.The influencing factors ofΔKth,eq and aeq were discussed in detail using the mixed I/II mode,respectively.In addition,the scattered values ofΔKIC for this graphite can be quantitatively estimated using the Weibull distribution equation.The predicated parameters and experimental results demonstrate a strong correlation.展开更多
文摘of PhD thesis For the mode I rock fracture toughness measurement,three standard methods have been recommended by the ISRM,but there has not been a standard method for the determination of mode II and mixed mode I-II rock fracture toughness. However mode II and mixed mode I-II fracturing of rock structures is more commonly observed than mode I in various geological and structural engineering settings. So it is of great important to thoroughly research these rock fracture problems and establish a standard method for determining the mode II or mixed mode I-II fracture toughness for rock materials. Based on the progress made for mode I rock fracture research,the cracked chevron notched Brazilian disk (CCNBD) specimen was also introduced for mode II and mixed mode I-II rock fracture toughness measurement. When the crack is orientated at an angle with respect to the diametrical loading,the crack of the CCNBD specimen is exposed to the mode II or mixed mode I-II stress distribution conditions. The solutions for stress intensity factors in the vicinity of the crack tip have been evaluated by the stepwise superimposition technique. In order to make sure that the theoretical analysis is correct,numerical calculation method has been employed to calibrate the theoretical results. It has been proved that the theoretical results yielded by the dislocation method are correct and reliable. According to the characteristic that the propagation of the crack in the CCNBD specimen is in its own plane and application of the energy superposition principle,the stress intensity factor of the mixed mode I-II has been defined in dimensionless terms as 212II2Imix])()[(***+=YYY. It was found that the curve of *mixY was concave. There exists a lowest point which corresponds to the maximum external load and indicates the crack has reached its critical state. Since the values of ***IIImix and YYY, are only dependent on the specimen geometry (qaaa and 10B,,),the critical values of ***IIImix and YYY, can be to known as long as the CCNBD specimen is prepared ready. It is only necessary to record the maximum load during the fracture tests. The fracture locus is very useful to know whether the crack in a rock structure has reached its critical condition. According to the amount of practical fracture testing data obtained,the rock fracturing locus was found to be 123IICII23ICI=+KKKK and the S-critical criterion was found to be more suitable for rock mixed mode I-II fracturing assessment.
文摘The extended finite element method（X-FEM） is a novel numerical methodology with a great potential for using in multi-scale computation and multi-phase coupling problems. The algorithm is discussed and a program is developed based on X-FEM for simulating mixed-mode crack propagation. The maximum circumferential stress criterion and interaction integral are deduced. Some numerical results are compared with the experimental data to prove the capability and efficiency of the algorithm and the program. Numerical analyses of sub-interfacial crack growth in bi-materials give a clear description of the effiect on fracture made by interface and loading condition.
文摘Three types of rock specimens, three-point bending specim en , anti-symmetric four-point bending specimen and direct shearing specimen, wer e used to achieve Mode Ⅰ, Mode Ⅱ and mixed mode Ⅰ-Ⅱ fracture, respectively . Microscopic characteristics of the three fracture modes of brittle rock were s tudied by SEM technique in order to analyze fracture behaviors and better understand fr acture mechanisms of different fracture modes of brittle rock. Test results show that the microscopic characteristics of different fracture modes correspond to different fracture mechanisms. The surface of Mode Ⅰ fracture has a great numbe r of sparse and steep slip-steps with few tearing ridges and shows strong britt leness. In the surface of Mode Ⅱ fracture there exist many tearing ridges and d ensely distributed parallel slip-steps and it is attributed to the action of sh ear stress. The co-action of tensile and shear stresses results in brittle clea v age planes mixed with streamline patterns and tearing ridges in the surface of m ixed mode Ⅰ-Ⅱ fracture. The measured Mode Ⅱ fracture toughness K ⅡC and mixed mode Ⅰ-Ⅱ fracture toughness K mC are larger than Mode Ⅰ fracture t oughness K ⅠC . K ⅡC is about 3.5 times K ⅠC , a nd K mC is about 1.2 times K ⅠC .
基金supported by the National Natural Science Foundation of China (Grant No. 50779081)the Key Project of the Chinese Ministry of Education (Grant No. 208114)the Science and Technology Project of the Chongqing Municipal Education Commission of China (Grant No. KJ080428)
文摘Hydraulic fracturing in the soil core of earth-rockfill dams is a common problem affecting the safety of the dams. Based on fracture tests, a new criterion for hydraulic fracturing in cohesive soil was suggested. Using this criterion, the mechanisms of hydraulic fracturing in cubic soil specimens were investigated. The results indicate that the propagation of the crack in a cubic specimen under water pressure occurs in a mixed mode I-II if the crack face is not perpendicular to any of the principal stresses, and the crack most likely to propagate is the one that is perpendicular to the minor principal stress and propagates in mode I.
基金supported in part by the National Key Research and Development Program of China(No.2017YFC0703001)the National Natural Science Foundation of China(No. 51678297).
基金supported by the National S&T Major Project(Grant No.ZX06901)Additional funding was provided by the National Natural Science Foundation of China(Grant Nos.11572170 and 11872225).
文摘This paper intensively explores the critical issues related to the quantitative and accurate evaluations of FCG behavior in the early stage,macro fatigue fracture toughness,and the critical crack size for damage tolerance in nuclear graphite.To address these issues,scale-span FCG tests were carried out using two typical specimens,CT and SEM in-situ specimens.These results indicate that the FCG threshold and the effective FCG length have a significant correlation with the modified maximum loop stress theory for a mixed I/II mode.In particular,the effective FCG length(aeq)and the applied stress threshold of polycrystalline graphite are important parameters for fatigue damage tolerance design in engineering application.The influencing factors ofΔKth,eq and aeq were discussed in detail using the mixed I/II mode,respectively.In addition,the scattered values ofΔKIC for this graphite can be quantitatively estimated using the Weibull distribution equation.The predicated parameters and experimental results demonstrate a strong correlation.
