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准晶数学弹性理论和某些有关研究的进展(上)

范天佑

范天佑. 准晶数学弹性理论和某些有关研究的进展(上)[J]. 力学进展, 2012, 42(5): 501-521. doi: 10.6052/1000-0992-11-168
引用本文: 范天佑. 准晶数学弹性理论和某些有关研究的进展(上)[J]. 力学进展, 2012, 42(5): 501-521. doi: 10.6052/1000-0992-11-168
FAN Tianyou. DEVELOPMENT ON MATHEMATICAL THEORY OF ELASTICITY OF QUASICRYSTALS AND SOME RELEVANT TOPICS[J]. Advances in Mechanics, 2012, 42(5): 501-521. doi: 10.6052/1000-0992-11-168
Citation: FAN Tianyou. DEVELOPMENT ON MATHEMATICAL THEORY OF ELASTICITY OF QUASICRYSTALS AND SOME RELEVANT TOPICS[J]. Advances in Mechanics, 2012, 42(5): 501-521. doi: 10.6052/1000-0992-11-168

准晶数学弹性理论和某些有关研究的进展(上)

doi: 10.6052/1000-0992-11-168
基金项目: 国家自然科学基金项目(10372016,10672022)资助
详细信息
    通讯作者:

    范天佑

DEVELOPMENT ON MATHEMATICAL THEORY OF ELASTICITY OF QUASICRYSTALS AND SOME RELEVANT TOPICS

Funds: The project was supported by the National Natural Science Foundation of China (10372016, 10672022).
More Information
    Corresponding author: FAN Tianyou
  • 摘要: 本文对固体准晶力学性能和准晶数学弹性, 塑性, 断裂以及有关研究的进展作了评论, 尤其对材料常数和塑性变形行为的测量, 一维、二维、三维准晶弹性理论, 动力学、非线性、缺陷理论、准晶弹性新型偏微分方程的推导和精确分析解, 复分析方法, 变分原理和有限元方法, 有限差分方法这些宏观问题和它们的数学方法进行了分析, 同时对准晶晶格动力学问题的数学理论也作了初步讨论. 近来在软物质中发现了12 次和18次对称准晶, 意义重大, 这里也做了初步介绍. 文中重点讨论此领域最近这些年来中国科学工作者的工作.

     

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出版历程
  • 收稿日期:  2011-12-01
  • 修回日期:  2012-07-12
  • 刊出日期:  2012-09-25

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