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A construction method of a nonlinear rock fatigue constitutive model based on application of a rheological model

A constitutive model and rheological model technology, applied in special data processing applications, CAD numerical modeling, complex mathematical operations, etc., can solve the problems of unclear physical and mechanical meaning of parameters, insufficient description of displacement field evolution law, etc., to achieve parameter Simple, physically-mechanically meaningful effects

Active Publication Date: 2021-12-17
CENT SOUTH UNIV
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Problems solved by technology

[0003] The above-mentioned constitutive model studies the mechanical properties of rock mass under cyclic fatigue loading very well, but there are problems such as unclear physical and mechanical meaning of the parameters and insufficient description of the evolution law of important displacement fields. In the study of the constitutive model, the model parameters The clarity of physical and mechanical meaning is an important factor in determining the application value of model engineering

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  • A construction method of a nonlinear rock fatigue constitutive model based on application of a rheological model
  • A construction method of a nonlinear rock fatigue constitutive model based on application of a rheological model
  • A construction method of a nonlinear rock fatigue constitutive model based on application of a rheological model

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[0037] In order to further understand the features, technical means, and specific objectives and functions achieved by the present invention, the present invention will be further described in detail below in conjunction with the accompanying drawings and specific embodiments.

[0038] Please refer to figure 1 , the deformation and damage of rock mass under cyclic loading and rheological tests also grow nonlinearly with an independent variable such as time, and are all caused by crack evolution. They have three identical characteristic stages: decay stage (stage Ⅰ), stable stage stage (stage II) and accelerated stage (stage III), these essentially similar mechanical behaviors indicate that the deformation and damage mechanism of rock mass under cyclic loading and rheological tests, that is, the evolution and deformation characteristics of cracks in space and time exist. Notable similarities.

[0039] Based on the similarity between rock mass fatigue and rheology, the combinat...

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Abstract

The invention discloses a construction method of a nonlinear rock fatigue constitutive model based on application of a rheological model. The construction method comprises the following steps: constructing a rock fatigue constitutive model; obtaining viscous element parameters described by fractional order; obtaining a strain expression of the rock fatigue constitutive model epsilon eve based on the fractional derivative; obtaining a rock mass fatigue constitutive model epsilon eve (N) based on a fractional order derivative after the Mittag-Leffler function is introduced; constructing a nonlinear fatigue constitutive model epsilon vp reflecting the mechanical characteristics of the accelerated fatigue stage; obtaining a damage variable D after the rock mass macroscopic initial damage Dma and the rock mass microscopic damage Dmi are coupled; obtaining a nonlinear fatigue constitutive model epsilon vp (N) considering the mechanical property of the accelerated fatigue stage of the initial damage; and obtaining a nonlinear fatigue constitutive model which considers the initial damage and describes the whole fatigue process of the rock mass. According to the invention, the fatigue constitutive model for describing the whole rock fatigue process is established by combining the nonlinear fatigue constitutive models for describing different fatigue stages, and the constitutive model is simple in parameter and clear in physical and mechanical significance.

Description

technical field [0001] The invention relates to the technical field of constitutive models of rock structural planes, in particular to a method for constructing nonlinear rock fatigue constitutive models based on the application of rheological models. Background technique [0002] During the construction of geotechnical engineering and the mining of underground ore, rock masses are often subject to periodic cyclic fatigue loads. The macro-micro evolution of the internal displacement field and stress field of the rock mass during this process is an important reason for the final failure of the rock mass engineering. Starting from the constitutive model, it can effectively reveal the mechanical mechanism of rock mass, for example in the literature "He, M., et al., Experimental investigation and damage modeling of salt rock subjected tofatigue loading. International Journal of Rock Mechanics and Mining Sciences, 2019.114 :p.17-23." researched the damage evolution law of salt r...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/20G06F17/13G06F119/04G06F119/14G06F111/10
CPCG06F30/20G06F17/13G06F2119/04G06F2119/14G06F2111/10Y02T90/00
Inventor 林杭张星李江腾陈金祠汪亦显曹日红赵延林周科峰
Owner CENT SOUTH UNIV
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