Wei Gao, Shou Yuan, Shuangshuang Ge, Zhihao Zhao, Yi Han
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引用次数: 0
Abstract
To study the fracture of a water-bearing rock, according to the characteristics of contact between the water and a rock crack, the influential mechanism of water on the rock crack is analyzed according to two different zones (crack zone and matrix zone) of the rock. Based on the influential mechanism of water on rock cracks and by using the complex function method, the expression of the stress intensity factor at the crack tip of the water-bearing rock has been derived. Moreover, taking the symmetric arrangement of three collinear cracks under compression as an example, the effect of main influence factors (water pressure on the crack surface, cohesion and internal friction angle of the rock, and the friction coefficient between the crack surfaces) on the stress intensity factor has been analyzed, and their corresponding coefficients of the influence have been obtained. At last, by using the contour integral method in the finite element method, the rationality of the theoretical results has been verified. From the study, for the water effect, there is a crack damage, which will cause an increase in crack length, and the friction coefficient between the crack surfaces will decrease by the water immersion lubrication on the crack surfaces. Moreover, there is water pressure on the crack surfaces which is similar to the wedging effect of water pressure on the crack tip and the deterioration of rock mechanical parameters. Therefore, the stress intensity factor at the crack tip will be enlarged by the water effect.
期刊介绍：
Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged.
This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.
Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.
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