This research develops an energy-driven constitutive model designed to tackle the complex phenomenon of grain crushing in porous rocks. Initially, a novel coupled relationship is proposed to integrate various energy dissipation mechanisms, including both plastic and crushing effects, using spherical polar coordinates. This approach results in a robust coupling of energy dissipation, providing a comprehensive depiction of the influence of grain crushing on plastic deformation. An energy-based yield criterion is then formulated by comparing elastic potential energy contours with experimental findings, and the behaviour of crushing hardening is examined through energy evolution. Flow rules are subsequently derived, both independently and with consideration of plasticity-crushing coupling. Finally, validation against a range of experimental tests highlights the model's versatility. The proposed model enhances the understanding of rock-crushing issues from an energy perspective and demonstrates simplicity with only 4 or 5 easily calibrated parameters.

中文翻译：

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能量驱动破碎-塑性耦合模型在多孔岩石中颗粒破碎


本研究开发了一种能量驱动的本构模型，旨在解决多孔岩石中颗粒破碎的复杂现象。最初，提出了一种新的耦合关系，以使用球形极坐标集成各种能量耗散机制，包括塑性和破碎效应。这种方法产生了能量耗散的鲁棒耦合，全面描述了晶粒压碎对塑性变形的影响。然后通过将弹性势能等值线与实验结果进行比较来制定基于能量的屈服标准，并通过能量进化来检查破碎硬化的行为。随后推导出流动规则，既可以独立进行，也可以考虑塑性-破碎耦合。最后，根据一系列实验测试进行的验证突出了该模型的多功能性。所提出的模型从能源角度增强了对岩石破碎问题的理解，并展示了仅 4 或 5 个易于校准的参数的简单性。