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Investigating the incremental behavior of granular materials with the level-set discrete element method
Journal of the Mechanics and Physics of Solids ( IF 5.0 ) Pub Date : 2020-08-08 , DOI: 10.1016/j.jmps.2020.104103
Konstantinos Karapiperis , John Harmon , Edward Andò , Gioacchino Viggiani , José E. Andrade

A computational framework is presented for high-fidelity virtual (in silico) experiments on granular materials. By building on i) accurate mathematical representation of particle morphology and contact interaction, ii) full control of the initial state of the assembly, and iii) discrete element simulation of arbitrary stress paths, the proposed framework overcomes important limitations associated with conventional experiments and simulations. The framework is utilized to investigate the incremental response of sand through stress probing experiments, focusing on key aspects such as elasticity and reversibility, yielding and plastic flow, as well as hardening and fabric evolution. It is shown that reversible strain envelopes are contained within elastic envelopes during axisymmetric loading, the yield locus follows approximately the Lade-Duncan criterion, and the plastic flow rule exhibits complex nonassociativity and minor irregularity. Hardening processes are delineated by examining the stored plastic work and the fabric evolution in the strong and weak networks. Special attention is given to isolating in turn the effect of particle shape and interparticle friction on the macroscopic response. Interestingly, idealization of particle shape preserves qualitatively most aspects of material behavior, but proves quantitatively inadequate especially in anisotropic stress states. The results point to the importance of accurately resolving particle-scale interactions, that allows macroscopic behavior to emerge free from spurious micromechanical artifacts present in an idealized setting.



中文翻译:

用水平集离散元方法研究颗粒材料的增量行为

提出了用于在颗粒材料上进行高保真度虚拟(计算机模拟)实验的计算框架。通过在i)颗粒形态和接触相互作用的精确数学表示,ii)组件初始状态的完全控制以及iii)任意应力路径的离散元素模拟的基础上,提出的框架克服了与常规实验和模拟相关的重要限制。该框架用于通过应力探测实验来研究沙子的增量响应,重点是诸如弹性和可逆性,屈服和塑性流动以及硬化和织物演变等关键方面。结果表明,在轴对称载荷作用下,可逆应变包络包含在弹性包络内,屈服轨迹大致遵循Lade-Duncan准则,塑性流动规律表现出复杂的非缔合性和较小的不规则性。通过检查存储的塑性功和强弱网络中的织物演变来描绘硬化过程。应特别注意隔离颗粒形状和颗粒间摩擦对宏观响应的影响。有趣的是,粒子形状的理想化在质量上保留了材料行为的大多数方面,但在定量上证明不足,尤其是在各向异性应力状态下。结果指出了精确解决粒子尺度相互作用的重要性,这使宏观行为摆脱了理想环境中出现的虚假微机械伪影。塑性流动规则表现出复杂的非缔合性和较小的不规则性。通过检查存储的塑性功和强弱网络中的织物演变来描绘硬化过程。应特别注意隔离颗粒形状和颗粒间摩擦对宏观响应的影响。有趣的是,粒子形状的理想化在质量上保留了材料行为的大多数方面,但在定量上证明不足,尤其是在各向异性应力状态下。结果指出了精确解决粒子尺度相互作用的重要性,这使宏观行为摆脱了理想环境中存在的虚假微机械伪影。塑性流动规则表现出复杂的非缔合性和较小的不规则性。通过检查存储的塑性功和强弱网络中的织物演变来描绘硬化过程。应特别注意隔离颗粒形状和颗粒间摩擦对宏观响应的影响。有趣的是,粒子形状的理想化在质量上保留了材料行为的大多数方面,但在定量上证明不足,尤其是在各向异性应力状态下。结果指出了精确解决粒子尺度相互作用的重要性,这使宏观行为摆脱了理想环境中存在的虚假微机械伪影。通过检查存储的塑性功和强弱网络中的织物演变来描绘硬化过程。应特别注意隔离颗粒形状和颗粒间摩擦对宏观响应的影响。有趣的是,粒子形状的理想化在质量上保留了材料行为的大多数方面,但在定量上证明不足,尤其是在各向异性应力状态下。结果指出了精确解决粒子尺度相互作用的重要性,这使宏观行为摆脱了理想环境中存在的虚假微机械伪影。通过检查存储的塑性功和强弱网络中的织物演变来描绘硬化过程。应特别注意隔离颗粒形状和颗粒间摩擦对宏观响应的影响。有趣的是,粒子形状的理想化在质量上保留了材料行为的大多数方面,但在定量上证明不足,尤其是在各向异性应力状态下。结果指出了精确解决粒子尺度相互作用的重要性,这使宏观行为摆脱了理想环境中存在的虚假微机械伪影。粒子形状的理想化在质量上保留了材料行为的大多数方面,但在定量上证明不足,尤其是在各向异性应力状态下。结果指出了精确解决粒子尺度相互作用的重要性,这使宏观行为摆脱了理想环境中存在的虚假微机械伪影。粒子形状的理想化在质量上保留了材料行为的大多数方面,但在定量上证明不足,尤其是在各向异性应力状态下。结果指出了精确解决粒子尺度相互作用的重要性,这使宏观行为摆脱了理想环境中存在的虚假微机械伪影。

更新日期:2020-08-08
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