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Method for establishing rock lumpiness fractal damage evolution constitutive model under uniaxial load

A damage evolution and uniaxial load technology, applied in the field of rock mechanics research, to achieve the effect of strong practicability, easy operation, and high promotion and application value

Pending Publication Date: 2020-01-17
JIANGXI UNIV OF SCI & TECH
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Problems solved by technology

Therefore, the fractal dimension of block degree can be used to quantitatively describe the breaking effect of rock and characterize the damage evolution situation inside the rock, so it is feasible to use fractal theory to solve the law of rock damage damage; however, there is still a lack of using fractal theory in the prior art Carry out research on the law of rock failure and damage, and the research work in this area still needs to be systematic and deepened

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  • Method for establishing rock lumpiness fractal damage evolution constitutive model under uniaxial load
  • Method for establishing rock lumpiness fractal damage evolution constitutive model under uniaxial load
  • Method for establishing rock lumpiness fractal damage evolution constitutive model under uniaxial load

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Embodiment Construction

[0050] Such as figure 1 Shown, the method for establishing the rock block degree fractal damage evolution constitutive model under uniaxial load of the present invention, the method comprises the following steps:

[0051] Step 1. Establish the rock damage evolution constitutive relation based on the Weibull distribution. The specific process is as follows:

[0052] Step 101, assuming that the probability density of the rock strength value conforms to the Weibull distribution, its probability density function P(ε) is expressed as:

[0053]

[0054] Among them, ε is the rock strain, m and F are the parameters of the Weibull distribution used to represent the mechanical properties of the rock;

[0055] Step 102, assuming that the total number of micro-units inside the rock is N, and the number of micro-units that have been destroyed under the action of external force is N t , expressing the damage variable D as:

[0056] D=N t / N (F2)

[0057] Step 103, when the rock strain...

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Abstract

The invention discloses a method for establishing a rock lumpiness fractal damage evolution constitutive model under a uniaxial load. The method comprises the following steps of: 1, establishing a rock damage evolution constitutive relational expression based on Weibull distribution; 2, establishing a rock lumpiness fractal damage evolution constitutive relational expression based on the lumpinessfractal dimension; and 3, establishing a rock lumpiness fractal damage evolution constitutive model under the uniaxial load. The method provided by the invention has simple steps, high implementationconvenience, a new constitutive equation for describing the rock damage process is established; according to the method, the model for representing the damage evolution condition in the rock by adopting the rock lumpiness fractal dimension is established, so that systematization and deepening of research on the rock damage law by applying the fractal theory are facilitated, the reality can be truly reflected, the practicability is high, and the popularization and application values are high.

Description

technical field [0001] The invention belongs to the technical field of rock mechanics research, and in particular relates to a method for establishing a rock block degree fractal damage evolution constitutive model under uniaxial load. Background technique [0002] Rock is a heterogeneous geological material that contains a large number of randomly distributed pores, cavities, interfaces and other defects. Under the action of load, the mechanical properties of the internal structure of this material will continue to change. To study the constitutive relationship of rocks It has always been one of the focuses of rock mechanics research, and has been widely used in engineering practice in many fields such as engineering blasting, mining, ore crushing, tunnel excavation, and calculation of overlying rock stability. [0003] On the one hand, in the prior art, starting from the randomness of the distribution of defects contained in the rock material, scholars organically combined...

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Application Information

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IPC IPC(8): G06F30/20G06Q10/04
CPCG06Q10/04
Inventor 赵康于祥黎强严雅静宁富金
Owner JIANGXI UNIV OF SCI & TECH
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