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连续损伤力学基临界奇异指数与破坏时间预测

周孙基 程磊 王立伟 王鼎 郝圣旺

周孙基, 程磊, 王立伟, 王鼎, 郝圣旺. 连续损伤力学基临界奇异指数与破坏时间预测[J]. 力学学报, 2019, 51(5): 1372-1380. doi: 10.6052/0459-1879-19-120
引用本文: 周孙基, 程磊, 王立伟, 王鼎, 郝圣旺. 连续损伤力学基临界奇异指数与破坏时间预测[J]. 力学学报, 2019, 51(5): 1372-1380. doi: 10.6052/0459-1879-19-120
Zhou Sunji, Cheng Lei, Wang Liwei, Wang Ding, Hao Shengwang. CONTINUUM DAMAGE MECHANICS-BASED CRITICAL SINGULARITY EXPONENT AND FAILURE TIME PREDICTION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(5): 1372-1380. doi: 10.6052/0459-1879-19-120
Citation: Zhou Sunji, Cheng Lei, Wang Liwei, Wang Ding, Hao Shengwang. CONTINUUM DAMAGE MECHANICS-BASED CRITICAL SINGULARITY EXPONENT AND FAILURE TIME PREDICTION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(5): 1372-1380. doi: 10.6052/0459-1879-19-120

连续损伤力学基临界奇异指数与破坏时间预测

doi: 10.6052/0459-1879-19-120
基金项目: 1)国家自然科学基金资助项目(11672258)
详细信息
    通讯作者:

    郝圣旺

  • 中图分类号: O341

CONTINUUM DAMAGE MECHANICS-BASED CRITICAL SINGULARITY EXPONENT AND FAILURE TIME PREDICTION

  • 摘要: 响应量在临近破坏时呈现出临界幂律奇异性加速特征,是一种被广泛证实的灾变破坏前兆,并被火山、滑坡和岩石破坏实验等后验预测结果证实为一种对破坏时间进行短临期预测的可行方法.但是,奇异性指数测量值的较大分散性导致了对其具体取值的争议和预测效果的不确定性.因此,理解奇异性指数取值特征及其内在物理控制因素,成为了一个核心问题.本文基于连续介质损伤力学和材料时间相关失效特征,构建了刻画损伤加速发展通向破坏过程的力学模型.导出了恒名义应力蠕变加载和控制名义应力随时间线性增大两种典型加载方式下,损伤和应变率加速发展通向破坏的临界幂律奇异性前兆特征.阐明了临界幂律奇异性指数取值依赖于材料损伤与承受真应力之间的非线性关系这一内在物理根源,表明了实际测量中奇异性指数的分散性不完全归结于测量数据误差,而是有着内在物理控制因素.针对破坏前奇异性指数的不确定性,建议了在未知奇异性指数条件下预测破坏时间的方法,并基于花岗岩脆性蠕变破坏实验进行了验证和说明.

     

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出版历程
  • 收稿日期:  2019-05-11
  • 刊出日期:  2019-09-18

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