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三维模态变形体离散元(3MDEM)是针对离散块体系统在小应变、有限位移、有限转动条件下,用变形模态模拟块体变形,经过严格推导建立的一种离散元方法。该文在3MDEM平台实现对结构从弹性、到塑性再到断裂破坏的连续非连续全过程模拟。鉴于传统的接触破坏准则在塑性计算中的缺陷,该文提出基于塑性应变的接触破坏判断准则,并采用双块体的拉伸和剪切算例进行验证,结果较合理。最后将考虑弹塑性本构的3MDEM用于悬臂梁算例,模拟结构进入塑性和断裂破坏的连续非连续全过程。
The three-dimensional modal deformation discrete element (3DDEM) is a discrete element method developed for the discrete block system under the conditions of small strain, limited displacement and finite rotation. This paper realizes the continuous non-continuous whole process simulation on the 3MDEM platform from elastic to plasticity to fracture failure. In view of the defects of traditional contact failure criterion in plastic calculation, the criterion of contact failure based on plastic strain is proposed and verified by double-block stretching and shearing examples. The result is reasonable. Finally, we will consider the elasto-plastic constitutive model 3MDEM for the cantilever beam and simulate the continuous non-continuous whole process of plasticity and fracture failure.