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基于介观力学信息的颗粒材料损伤--愈合与塑性宏观表征

王增会 李锡夔

王增会, 李锡夔. 基于介观力学信息的颗粒材料损伤--愈合与塑性宏观表征[J]. 力学学报, 2018, 50(2): 284-296. doi: 10.6052/0459-1879-17-362
引用本文: 王增会, 李锡夔. 基于介观力学信息的颗粒材料损伤--愈合与塑性宏观表征[J]. 力学学报, 2018, 50(2): 284-296. doi: 10.6052/0459-1879-17-362
Wang Zenghui, Li Xikui. MESO-MECHANICALLY INFORMED MACROSCOPIC CHARACTERIZATION OF DAMAGE-HEALING-PLASTICITY FOR GRANULAR MATERIALS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(2): 284-296. doi: 10.6052/0459-1879-17-362
Citation: Wang Zenghui, Li Xikui. MESO-MECHANICALLY INFORMED MACROSCOPIC CHARACTERIZATION OF DAMAGE-HEALING-PLASTICITY FOR GRANULAR MATERIALS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(2): 284-296. doi: 10.6052/0459-1879-17-362

基于介观力学信息的颗粒材料损伤--愈合与塑性宏观表征

doi: 10.6052/0459-1879-17-362
基金项目: 国家自然科学基金资助项目(11372066).
详细信息
    作者简介:

    null

    作者简介:李锡夔,教授,主要研究方向:计算力学,颗粒材料多尺度力学. E-mail: xikuili@dlut.edu.cn

  • 中图分类号: O345;

MESO-MECHANICALLY INFORMED MACROSCOPIC CHARACTERIZATION OF DAMAGE-HEALING-PLASTICITY FOR GRANULAR MATERIALS

  • 摘要: 本文在二阶计算均匀化框架下提出了颗粒材料损伤--愈合与塑性的多尺度表征方法. 颗粒材料结构在宏观尺度模型化为梯度Cosserat连续体,在其有限元网格的每个积分点处定义具有离散颗粒介观结构的表征元. 建立了表征元离散颗粒系统的非线性增量本构关系. 表征元周边介质作用于表征元边界颗粒的增量力与增量力偶矩以表征元边界颗粒的增量线位移与增量转动角位移、当前变形状态下表征元离散介观结构弹性刚度、以及凝聚到表征元边界颗粒的增量耗散摩擦力表示. 基于平均场理论与Hill定理,导出了基于介观力学信息的梯度Cosserat连续体增量非线性本构关系. 在等温热动力学框架下定义了表征颗粒材料各向异性损伤--愈合和塑性的损伤、愈合张量因子与综合损伤、愈合效应的净损伤张量因子和塑性应变. 此外,定义了损伤和塑性耗散能密度与愈合能密度,以定量比较材料损伤、愈合、塑性对材料失效的效应. 应变局部化数值例题结果显示了所建议的颗粒材料损伤--愈合--塑性表征方法的有效性.

     

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出版历程
  • 收稿日期:  2017-11-05
  • 刊出日期:  2018-03-18

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