On the problem of crack system with an elliptic hole

Tang, Rongbiao; Yin-bang, Wang

doi:10.1007/bf02487881

Cited by 19 publications

(2 citation statements)

References 2 publications

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“…Subsequently, the interactions between multiple holes and multiple cracks gradually became a popular field of research. For example, Tang (Renji and Yinbang, 1986) calculated the stresses resulting from these interactions by applying an artificial load on the surfaces of the cracks and considering the strength factor of the round holes. This approach led to the derivation of a system of Cauchy-type integral equations.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution of the stress field and plastic zone at the tip of a closed crack

Wu,

Wang,

Peng

2024

Front. Earth Sci.

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The investigation of stress field and plastic zone distribution at the closed crack tip provides a fundamental basis for failure analysis and life prediction of geotechnical materials. Closed crack is a common crack in geotechnical materials. Studying the distribution of stress field and plastic zone at the tip of closed crack can provide theoretical basis for stability evaluation of geotechnical structures. In this study, we employ the superposition principle to obtain complex function solutions for the stress field and displacement field at the crack tip. Furthermore, we analyze the plastic zone distribution at the crack tip based on the Mohr Coulombs criterion. We investigate how factors such as crack angle, confining pressure, and material properties influence the stress field, displacement field, plastic zone size, and crack propagation direction. Our results demonstrate that this method effectively characterizes the distribution of stress field and displacement field at closed crack tips. Moreover, we elucidate that wing cracks are primarily formed due to tension-shear coupling effects. The solutions for the stress field and displacement field at the crack tip are obtained using the superposition principle. The distribution of the plastic zone at the crack tip is analyzed based on the M-C (Mohr-Coulomb) criterion. Subsequently, an analysis is conducted to investigate the influence of crack angle, confining pressure, and material properties on stress field, displacement field, plastic zone, and crack propagation direction. Lower crack angles and higher confining pressures effectively suppress slip between crack surfaces by reducing tension-shear coupling effects and inhibiting wing foil crack development. The results further indicate that the rock cohesion and internal friction angle exert negligible influence on the stress field, displacement field, plastic zone shape at the crack tip, as well as the growth direction of new cracks. The results demonstrate the effective representation of stress field and displacement field at the closed crack tip using this method. The stress distribution at the crack tip reveals that the tension-shear coupling effect primarily contributes to wing crack formation. Lower crack angles and higher confining pressures effectively suppress surface slip, reduce tension-shear coupling effects, and inhibit wing crack propagation. Furthermore, material properties do not influence the crack propagation angle, stress field, or displacement field.

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Section: Introductionmentioning

confidence: 99%

Analytical solution of the stress field and plastic zone at the tip of a closed crack

Wu,

Wang,

Peng

2024

Front. Earth Sci.

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“…Subsequently, the interaction between multiple holes and multiple cracks gradually became a popular research field. For example, Tang [13] calculated the artificial loads on the surface of the cracks and circular holes by introducing the stress intensity factor to account for the interaction. He then derived a system of Cauchy-type integral equations.…”

Section: Introductionmentioning

confidence: 99%

Analytical Solution of Ice–Rock-Model Stress Field and Stress Intensity Factors in Inhomogeneous Media

Cao,

Jing,

Peng

2024

Applied Sciences

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The stress distribution and fracture parameter calibration of ice–rock models are important aspects of studying rock properties at high altitudes and latitudes. However, progress in ice–rock modeling has been slow and singular, and it is limited due to the discrete nature of rocks and the applicability of fracture mechanics. In this study, a circular inhomogeneous ice–rock model is proposed for the first time, and a method is provided for calculating the stress field of the model under biaxial loading. A method for calculating the single-crack stress intensity factor of the model subjected to biaxial compressive loading is also provided. The novelty of this work is that the inhomogeneous ice–rock model is treated as a superposition of two models, namely, a circular pore plate and circular ice, according to the superposition principle. The key is that the stress field distribution law of the ice–rock model is obtained based on the basis of the displacement continuity of the ice–rock interface. The analytical and approximate solutions of the stress intensity factor of a single crack were also obtained by considering the normal phase effect of the crack surface and combining the stress distribution law of the ice–rock model. Comparison with the CAE method was made to verify the correctness of the stress field and stress intensity factor calculation methods. The evolution laws of lateral pressure coefficients, the elastic modulus ratio of ice and rock on the stress field, and the stress intensity factor were analyzed. The effects of lateral pressure coefficients, elastic modulus ratios, and crack distributions on the failure modes were investigated using the extended finite element method (XFEM). This study can provide a theoretical basis for the evaluation of mechanical properties and prediction of the failure modes of frozen rock bodies.

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New boundary element method for torsion problems of cylinder with curvilinear cracks

王银邦

陆孜子

2005

Appl. Math. Mech.-Engl. Ed.

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On the problem of crack system with an elliptic hole

Cited by 19 publications

References 2 publications

Analytical solution of the stress field and plastic zone at the tip of a closed crack

Analytical solution of the stress field and plastic zone at the tip of a closed crack

Analytical Solution of Ice–Rock-Model Stress Field and Stress Intensity Factors in Inhomogeneous Media

New boundary element method for torsion problems of cylinder with curvilinear cracks

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