考虑弹塑性本构的三维模态变形体离散元方法断裂模拟  

A FRACTURE SIMULATION USING 3-D MODE DISTINCT ELEMENT METHOD(3MDEM) WITH ELASTOPLASTIC CONSTITUTIVE MODEL

作　　者：金峰[1] 胡卫[1,2] 张冲[3] 王进廷[1] 

机构地区：[1]清华大学水沙科学与水利水电工程国家重点实验室,北京100084 [2]华东中建地产有限公司,上海200122 [3]中国水电顾问集团成都勘测设计研究院,四川成都610072

出　　处：《工程力学》2011年第5期1-7,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(90510018;50779021);"十一五"国家科技支撑计划项目(2008BAB29B05)

摘　　要：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。3-D mode distinct element method（3MDEM） is a distinct element method under the assumption of small strain,finite displacement and finite rotation for blocks.The deformation of blocks is expressed as a combination of deformation modes in 3MDEM.In this paper,simulation from continuum to discontinuum including elastic-plastic-fracture is presented on 3MDEM platform.Due to the shortcoming of common criterion for contact fracture,a new criterion based on plastic strain is introduced,which is verified by two numerical examples.At last,a cantilever beam is studied from elastic to elastoplastic stage,and further to discontinuous fracture stage.

关 键 词：模态离散元 数值方法 弹塑性 非连续 接触 

分 类 号：TV698.237[水利工程—水利水电工程]