Construction and Application of Rock Statistical Damage Constitutive Model
A technology of rock statistical damage and constitutive model, applied in special data processing applications, calculations, soil material testing, etc., can solve the problems of small calculation and mining range, inability to accurately express the relationship between rock stress and strain, waste of resources, etc.
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[0117] 1. Establishment of rock statistical damage constitutive model
[0118] 1.1) Establishment of damage variables and constitutive relations
[0119] According to the J. Lemaitre strain equivalence hypothesis (see Lemaitre J.A continuous damage mechanics model for ductile fracture [J]. J. Engng. Master. Tech., 1985, 107(1): 83-89), the rock constitutive relationship is established as follows :
[0120] [σ * ]=[σ] / [1-D]=[C][ε] / (1-D) (1’)
[0121] where: [C] is the elastic matrix of the rock material, [σ * ] is the effective stress matrix, [σ] is the nominal stress matrix, [ε] is the strain matrix, and D is the rock damage variable. The key to establishing the rock damage constitutive model lies in the determination of the rock damage variable D. The use of axial strain to express the rock micro-element strength has serious shortcomings. According to the new expression method of rock micro-element strength proposed by Cao Wengui et al. (see Cao Wengui, Zhao Minghua, Liu ...
Embodiment 1
[0210] Taking the underground mining of "Hualinggou Iron Mine" in a mining area located in the Waitoushan ore deposit in Benxi City as an example (the project overview is as mentioned above), a method for constructing a rock statistical damage constitutive model is introduced. The specific application includes the following steps:
[0211] (1) Carry out indoor mechanical tests on rocks to obtain relevant basic parameters: first, rock samples are taken at the site of the applied project, and samples of rock and soil layers of iron ore, Quaternary, amphibolite, and quartzite are collected respectively. sample. Through the indoor tensile test, the uniaxial tensile strength σ of the rock is obtained t ; Obtain the elastic modulus E and Poisson's ratio μ through the indoor uniaxial compression test; obtain the cohesive force c and internal friction angle φ of the rock through the indoor triaxial compression test; use the balance method or density meter method to measure the densit...
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