考虑细观颗粒破损的粒状材料弹塑性本构模型研究

    Elastoplastic constitutive model for granular materials considering meso-particle damage

    • 摘要: 建立考虑颗粒形状与破碎物理机制的粒状材料本构模型,是土石坝工程力学稳定性计算的重要理论基础。研究讨论了不同形状的粒状材料内部颗粒破碎、转动和滑移等对变形的影响规律,基于岩土损伤力学及热力学定义,构建了考虑颗粒形状的颗粒破碎功及剪胀能数学表达式;并结合颗粒破损率方程,阐释了压缩过程颗粒破碎功、剪胀能和破损程度的演化规律,定量揭示了粒状材料的细观破碎变形机制。最后,将颗粒破碎功、剪胀能的定量计算方程引入D-C模型,建立了一个考虑颗粒形状与细观破碎机制的粒状材料弹塑性本构模型,并通过试验曲线与理论曲线的对比,验证了该模型的合理性和可靠性。

       

      Abstract: Establishing a constitutive model for granular materials that accounts for particle shape and breakage mechanisms has been crucial for calculating the mechanical stability of earth-rock dam projects. Initially, through the triaxial compression tests, the effects of particle breakage, rotation and sliding on the deformation of granular materials with varying shapes are examined. The particle slip/rotation is dominant at low stress level, and the energy dissipation is small. With the increase of the stress level, the influences of particle breakage are more prominent. Subsequently, the mathematical expressions for the particle crushing energy and dilatancy energy that consider particle shape are developed based on the geotechnical damage mechanics and thermodynamics. By incorporating the particle breakage rate equation, the evolution laws of particle crushing energy dilatancy energy, and breakage degree during compression are elucidated, quantitatively revealing the meso-particle breakage deformation mechanism. These mathematical relationships of meso-deformation mechanisms are integrated into the D-C model, then an elastoplastic constitutive model that considers both the particle shape and the meso-particle breakage mechanisms is derived. Finally, the validity and reliability of the proposed model are confirmed by comparing the experimental curves with the theoretical predictions.

       

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