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基于強度理論的巖石損傷彈塑性模型

Elastoplastic model of damaged rock based on the strength theory

  • 摘要: 根據單軸受力特性曲線唯象地考察巖石材料損傷演化,定義彈性應變表示的一維損傷變量及其本構模型,利用雙剪強度理論將其推廣至三維模型.塑性是潛在破壞面的摩擦滑移,在傳統塑性理論的框架中,建立了基于摩爾-庫侖強度理論與潛在滑移面摩擦軟-硬化特性的各向異性損傷彈塑性本構關系.結果表明,計算的損傷演化與CT觀測結果符合很好,用本文的彈塑性模型反映損傷材料的力學特性是可行的.

     

    Abstract: The one-dimensional damage variable was defined based on the elasto-brittle behavior of rock under uniaxial loading. To define the damage and its evolution in three-dimensional loading, the twln-shear theory was introduced to generalize the one-dimensional damage model into the three-dimensional model. The elastic behavior of the damaged material under loading can be expressed by reducing the elastic module, and the plastic flow can be represented by the slide on the plane between the two parts of the fractured rock. To establish the elastoplastic model of the damaged material, the concept of effective stress was used to contain the effects of damage in the yielding equation as well as in the function of plastic potential. The model was established in the frame of the classical plasticity theory in which the Mohr-Coulomb criterion was employed as the yielding criterion, and the friction law on the pre-sliding plane was taken as the hardening-softening rule to describe the change of the yielding surface with the progressive yielding. The comparison of the calculated results with tested results by a CT machine shows that the damage model presented in the paper can accurately describe the damage evolution of rock in Nanqiao Sandstone, and that the damage-elasto-plastic model is indeed feasible in describing the mechanical properties of the damaged material.

     

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