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A singular element for Reissner plate bending problem with interface cracks |
Received:July 04, 2016 Revised:November 14, 2016 |
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DOI:10.7511/jslx201705012 |
KeyWord:interface crack Reissner plate singular element stress intensity factor |
Author | Institution |
张兆军 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
王珊 |
北京航天微系统研究所, 北京 |
姚伟岸 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
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Abstract: |
On the basis of Reissner's plate theory,the expressions of the first two order asymptotic displacement field around the tip of an interface crack are derived using William's eigenfunction series expansion method.And using the deduced generalized displacement field,a novel displacement-mode singular finite element is constructed,which can well depict the characteristic of displacement and singular internal force fields around the crack tip.One advantage of this method is thattransition elements are not required between the singular element and the conventional finite element.Moreover,the stress intensity factors can all be determined directly by the coefficients of the asymptotic series terms.Finally,two numerical examples are analysed to demonstrate the performance of the present method. |