反平面从弹性介质中拉出刚性线包体

IF 4.5 2区 工程技术 Q1 MATHEMATICS, APPLIED Applied Mathematics and Mechanics-English Edition Pub Date : 2023-04-23 DOI:10.1007/s10483-023-2980-6
Yansong Wang, Baolin Wang, Youjiang Cui, Kaifa Wang
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引用次数: 0

摘要

研究了从弹性介质中拉出的刚性线夹杂的瞬态和静态反平面问题。采用奇异积分方程法求解应力场。在静载荷作用下,夹杂物尖端的应力强度因子(SIF)随着介质长度的增加而增加。当介质的长度是夹杂物的3.5倍时,该问题等效于无限长介质中的夹杂物。然而,在瞬态载荷下,当介质长度约为夹杂物长度的两倍时,SIF出现最大值。此外,还给出了拔出力与反平面位移之间的关系。这些结论对纤维增强复合材料的设计具有指导意义。
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Anti-plane pull-out of a rigid line inclusion from an elastic medium

The transient and static anti-plane problem of a rigid line inclusion pulled out from an elastic medium is studied. The singular integral equation method is used to solve the stress field. Under the static load, the stress intensity factor (SIF) at the inclusion tips increases with the medium length. The problem becomes equivalent to an inclusion in a medium with an infinite length when the length of the medium is 3.5 times longer than that of the inclusion. However, under the transient load, the maximum value of the SIF occurs when the medium length is about two times the inclusion length. Besides, the relation between the pull-out force and the anti-plane displacement is given. The conclusions are useful in guiding the design of fiber reinforced composite materials.

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来源期刊
CiteScore
6.70
自引率
9.10%
发文量
106
审稿时长
2.0 months
期刊介绍: Applied Mathematics and Mechanics is the English version of a journal on applied mathematics and mechanics published in the People''s Republic of China. Our Editorial Committee, headed by Professor Chien Weizang, Ph.D., President of Shanghai University, consists of scientists in the fields of applied mathematics and mechanics from all over China. Founded by Professor Chien Weizang in 1980, Applied Mathematics and Mechanics became a bimonthly in 1981 and then a monthly in 1985. It is a comprehensive journal presenting original research papers on mechanics, mathematical methods and modeling in mechanics as well as applied mathematics relevant to neoteric mechanics.
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