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考虑损伤的修正梯度弹性理论

赵冰 刘韬 贺剑辉 朱浩睿 李威

赵冰, 刘韬, 贺剑辉, 朱浩睿, 李威. 考虑损伤的修正梯度弹性理论[J]. 应用数学和力学, 2017, 38(9): 999-1008. doi: 10.21656/1000-0887.370285
引用本文: 赵冰, 刘韬, 贺剑辉, 朱浩睿, 李威. 考虑损伤的修正梯度弹性理论[J]. 应用数学和力学, 2017, 38(9): 999-1008. doi: 10.21656/1000-0887.370285
ZHAO Bing, LIU Tao, HE Jian-hui, ZHU Hao-rui, LI Wei. A Modified Gradient Elastic Theory Considering Damage[J]. Applied Mathematics and Mechanics, 2017, 38(9): 999-1008. doi: 10.21656/1000-0887.370285
Citation: ZHAO Bing, LIU Tao, HE Jian-hui, ZHU Hao-rui, LI Wei. A Modified Gradient Elastic Theory Considering Damage[J]. Applied Mathematics and Mechanics, 2017, 38(9): 999-1008. doi: 10.21656/1000-0887.370285

考虑损伤的修正梯度弹性理论

doi: 10.21656/1000-0887.370285
详细信息
    作者简介:

    赵冰(1972—), 男, 副教授, 博士(通讯作者. E-mail: zhaob_m-y@163.com).

  • 中图分类号: O346.5

A Modified Gradient Elastic Theory Considering Damage

  • 摘要: 梯度弹性理论在描述材料微结构起主导作用的力学行为时具有显著优势,将其与损伤理论相结合,可在材料破坏研究中考虑微结构的影响.基于修正梯度弹性理论,将应变张量、应变梯度张量和损伤变量作为Helmholtz自由能函数的状态变量,并在自然状态附近对自由能函数作Taylor展开,进而由热力学基本定律,推导出修正梯度弹性损伤理论本构方程的一般形式.编制有限元程序,模拟土样损伤局部化带的发展演化过程.结果表明,修正梯度弹性损伤理论消除了网格依赖性;损伤局部化带不是与损伤同时发生,而是在损伤发展到一定程度后再逐渐显现出来.
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出版历程
  • 收稿日期:  2016-09-20
  • 修回日期:  2016-11-13
  • 刊出日期:  2017-09-15

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