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含界面裂纹Reissner板弯曲问题分析的奇异单元

Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2017-10-15

Journal: 计算力学学报

Included Journals: Scopus、CSCD

Volume: 34

Issue: 5

Page Number: 608-614

ISSN: 1007-4708

Key Words: 界面裂纹;Reissner板;奇异单元;应力强度因子

Abstract: 首先,采用特征函数渐近展开法,推导了Reissner板弯曲界面裂纹尖端附近位移场渐近展开的前两阶显式表达式,并利用所获得的位移场渐近表达式构造了一种可用于Reissner板弯曲界面裂纹分析的奇异单元.然后,将该奇异单元与外部的常规有限单元相结合,开展了含界面裂纹Reissner板弯曲断裂问题的数值分析.奇异单元可以较好地描述裂纹尖端附近的内力场与位移场,其优势是它与常规单元进行连接时不需要使用过渡单元,并且可以直接给出应力强度因子等断裂参数的高精度数值结果.最后,通过两个数值算例验证了本文方法的有效性.

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