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Failure in granular media from an energy viewpoint

机译：从能量的角度看颗粒介质的失效

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The present paper examines failure in discrete granular media with respect to its mode and nature based on energetic considerations through a comprehensive discrete element modelling computational analysis. The mode of failure refers to whether deformations will localize into an intense shear band or be diffuse. More subtly, a given failure mode can be effective with a burst of kinetic energy, or non-effective with a more controlled release of kinetic energy, depending on the control parameter. Physical quantities based on energy considerations with elementary decompositions of externally applied energy into elastic, plastic and kinetic contributions at the particle level are computed for a number of granular assemblies under a variety of failure scenarios. With the picture of a particle system experiencing macroscopic deformations according to underlying micro- and meso-mechanisms, it is concluded that computed grain-energy components depend on the microstructural detail that emerges as a function of loading program and control parameter. The relationship between elastic unloading outside a shear band and plastic dissipation inside it under both strain and stress control modes determines the genesis of shear banding in terms of plastic work dissipation minimization. Most interestingly, it is found that the energy signature inside the shear band in a dense granular packing is germane to energy characteristics of diffuse failure in a loose assembly, suggesting some similarities in microscopic failure processes between shear banding and diffuse failure.
机译：本文基于能量的考虑，通过全面的离散元模型计算分析，研究了离散粒状介质的失效模式和性质。破坏的模式是指变形是集中在强烈的剪切带上还是扩散。更为微妙的是，取决于控制参数，给定的故障模式可能对动能爆发有效，而对动能的控制释放则无效。在各种失效情况下，对于许多颗粒状组件，基于能量考虑的物理量将外部施加的能量基本分解为颗粒级的弹性，塑性和动力学贡献，然后进行计算。根据粒子系统根据潜在的微观和细观机理经历宏观变形的图片，可以得出结论，计算出的谷物能量成分取决于微观结构细节，这些细节是加载程序和控制参数的函数。在应变和应力控制模式下，剪切带外部的弹性卸载与剪切带内部的塑性耗散之间的关系决定了剪切带的产生，其原因是塑性功耗散最小。最有趣的是，发现致密颗粒填料中剪切带内部的能量特征与松散组件中的弥散破坏的能量特征密切相关，这表明在剪切带和弥散破坏之间的微观破坏过程中存在一些相似之处。

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