Review of the Relationships between Crack Initiation Stress, Mode I Fracture Toughness and Tensile Strength of Geo-Materials

Xu, Xueliang; Wu, Shunchuan; Jin, Aibing; Gao, Yongtao

doi:10.1061/(asce)gm.1943-5622.0001227

Cited by 33 publications

(14 citation statements)

References 81 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is well known that the strength thresholds of the crack initiation (CI) stress and crack damage (CD) stress of hard rock are of great significance for characterizing progressive failure and brittle failure mechanisms and for establishing crack initiation and long-term strength criteria. 2,[6][7][8] The CI can be used to estimate the in situ spalling strength. CI and CD were found to be dependent of loading conditions, just as the peak stress.…”

Section: Introductionmentioning

confidence: 99%

“…5,10,11 Additionally, investigations of crack stress thresholds have been conducted. The relationships among CI, fracture toughness and tensile strength were studied, 6 and other factors, such as mineralogical composition, heterogeneities and hydraulic stress, were considered to determine the morphology of cracks during crack initiation and propagation. 12 By ignoring different rock types, stress level, loading conditions and so on, ratios of CI and CD to peak stress were deduced to be intrinsic property of rock and can be used as a reliable indicator to predict crack growth and damage, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…A brief introduction to rock failure processes is provided below. Based on the laboratory studies by Brace 13 and others, 6,14 the failure process of brittle rock can be divided into five stages:…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A novel observation method for determining the crack stress thresholds of rock based on Hooke's law

Pei

Jia

et al. 2020

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

The crack stress thresholds of rocks have remained a focus in rock mechanics and engineering. Herein, a novel observation method uses Hooke's law to evaluate crack stress thresholds based on transition points in the equivalent elastic modulus. Unlike previous studies, this method considers confining pressure as a variable and involves a differential method to handle the variation of discrete data. To test the method, we compare it with the volumetric strain method and another observation method with respect to the crack stress thresholds of sandstone and granite. The results are within the boundary values presented in the literatures. For the sandstone and granite samples, the proposed method performs better than the other two methods. In summary, the results indicate that the proposed method can be practically applied with that a promising performance. In the future, we will further improve the method by considering more types of rocks with various confining pressures.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A novel observation method for determining the crack stress thresholds of rock based on Hooke's law

Pei

Jia

et al. 2020

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

show abstract

“…Since Sih (1974) used a strain energy density factor based on Griffith theory to predict the crack initiation and direction of rock, considerable researches have been carried out on rock fracture (Bažant et al, 1993;Cai et al, 2004;Diederichs et al, 2004;Xu et al, 2018;Guo et al, 2020). Bažant et al (1993) derived a simple size effect law which directly related to the fracture properties of rock.…”

Section: Introductionmentioning

confidence: 99%

“…Cai et al (2004) discussed the crack initiation stress of rock from experimental data and found that crack initiation normally occurred at 0.3 to 0.5 times the peak uniaxial compressive stress. Xu et al (2018) collected the experimental data for crack initiation stress and tensile strength of rocks and found that the crack initiation stress had a linear relationship with Brazilian tensile strength. Jiang et al (2020) collected uniaxial compression test data for igneous, metamorphic, and sedimentary rocks and found that the brittleness index can be expressed as a 2-parameter power function of CIS ratio (i.e., the ratio of crack initiation ratio to uniaxial compression strength).…”

Section: Introductionmentioning

confidence: 99%

Investigating the Relationship between the Brittleness Index and Crack Initiation Stress for the Granite under Triaxial Compression

Guo

Zhang

et al. 2020

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

Lattice strain during compressive loading of AlCrFeNiTi multi-principal element alloys

Reiberg

Maawad

Werner

2021

Continuum Mech. Thermodyn.

View full text Add to dashboard Cite

In this work, multi-principal element alloys (MPEAs) with the five base elements Al, Cr, Fe, Ni and Ti plus elements in minor amounts were produced by powder metallurgy and their microstructure and elastic behavior were analyzed via light and scanning electron microscopy, electron backscatter diffraction (EBSD) and synchrotron X-ray diffraction. The two studied compositions are an MPEA with Al, Cr, Fe, Ni and Ti in equimolar ratio as well as a similar composition with a concentration of Ti reduced to 10 mol%. The goal is to analyze the microstructural behavior of these compositions during macroscopic loading in dependence of chemical composition and phases present. Analysis via synchrotron X-ray diffraction predicts the presence of body-centered cubic phases, Full Heusler-phases and C14_Laves-phases in both compositions, MPEA5 and MPEA_Ti10. Synchrotron X-ray diffraction offers the possibility to monitor the deformation of these phases during macroscopic loading of specimens. Thermodynamic calculations of stable phases predicted a microstructure of MPEA5 consisting of body-centered cubic and Full Heusler-phases at room temperature. Further calculation and X-ray diffraction experiments showed the stabilization of minor amounts of C14_Laves-phase ($$\hbox {Fe}_2\hbox {Ti}$$ Fe 2 Ti ) at room temperature with a decreasing amount of Ti. MPEA5 showed the development of long and un-branched cracks during compressive testing, which resulted in a remarkable decrease in lattice-dependent elastic moduli. MPEA_Ti10 exhibited branched cracks during compression tests. Also, the lattice-dependent elastic moduli of MPEA_Ti10 did not change notably during the compression tests. In both compositions, the Full Heusler-phase showed the lowest lattice-dependent elastic moduli, hence taking the largest share of the overall deformation among all phases present in the materials under macroscopic loading.

show abstract

Review of the Relationships between Crack Initiation Stress, Mode I Fracture Toughness and Tensile Strength of Geo-Materials

Cited by 33 publications

References 81 publications

A novel observation method for determining the crack stress thresholds of rock based on Hooke's law

A novel observation method for determining the crack stress thresholds of rock based on Hooke's law

Investigating the Relationship between the Brittleness Index and Crack Initiation Stress for the Granite under Triaxial Compression

Lattice strain during compressive loading of AlCrFeNiTi multi-principal element alloys

Contact Info

Product

Resources

About