Non-stationary Nishihara model in the particle flow code
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摘要: 為實現巖石試樣蠕變全過程的準確模擬,并從細觀角度探究蠕變過程中微裂隙的發生和發展規律,在二維顆粒流程序(PFC2D)中開發出具有黏彈塑性特征的西原體流變接觸本構模型,進一步提出包含兩種非定常元件的非定常西原體模型,推導了模型本構關系和蠕變方程.在PFC2D中調用自定義西原體流變模型,通過參數調試,獲得與真實試樣具有相同強度特性的數值試樣.以室內單軸壓縮蠕變試驗數據為基礎,在Matlab中對模型非定常參數進行擬合反演分析.在此基礎上,進行單軸壓縮蠕變試驗的模擬,計算過程中分別采用定常和非定常兩種模型,并對微裂隙進行監測.對比分析結果表明:定常模型僅適用于衰減和穩定蠕變階段;非定常模型也可用于描述加速蠕變階段,從而準確模擬蠕變全過程;加速蠕變階段主要是由微裂隙的加速發展而產生,加速蠕變將導致試樣剪切破壞.Abstract: In order to accurately simulate the whole process of rock creep and explore the generation and development of mircofractures from the meso-level,a visco-elastoplastic Nishihara rheological constitutive model is developed in the two-dimensional particle flow code(PFC2D). Then a non-stationary Nishihara model including two non-stationary elements is put forward in this article. A constitutive equation and a creep equation are derived based on the non-stationary Nishihara model. The user-defined Nishihara constitutive model is called in PFC2D,and a numerical sample whose strength properties are the same as those of a real rock specimen is acquired by parameter testing. Using the data of uniaxial creep tests in laboratory,the non-stationary parameters are back analyzed in Matlab. At last,uniaxial creep tests are simulated using the stationary and non-stationary models,and micro-fractures are monitored.A comparison of these results show that the stationary model can only be used to describe the decay and steady stages,while the nonstationary model is also applicable to the accelerated stage,and thus can simulate the whole process of rock creep. Accelerated creep results from the accelerated development of mirco-fractures and leads to shear failure.
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Key words:
- rock mechanics /
- creep /
- constitutive models /
- particle flow code /
- fractures
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