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Anti-plane pull-out of a rigid line inclusion from an elastic medium

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Abstract

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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Authors and Affiliations

  1. Harbin Institute of Technology Shenzhen Campus, Harbin Institute of Technology, Harbin, 150001, China

    Yansong Wang, Baolin Wang, Youjiang Cui & Kaifa Wang

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  1. Yansong Wang
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  2. Baolin Wang
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Correspondence to Baolin Wang.

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Citation: WANG, Y. S., WANG, B. L., CUI, Y. J., and WANG, K. F. Anti-plane pull-out of a rigid line inclusion from an elastic medium. Applied Mathematics and Mechanics (English Edition), 44(5), 809–822 (2023) https://doi.org/10.1007/s10483-023-2980-6

Project supported by the Guangdong Basic and Applied Basic Research Foundation of China (Nos. 2022A1515010801 and 2023A1515012641) and the Shenzhen Science and Technology Program of China (Nos. JCYJ20220818102409020 and GXWD20220811165158003)

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Wang, Y., Wang, B., Cui, Y. et al. Anti-plane pull-out of a rigid line inclusion from an elastic medium. Appl. Math. Mech.-Engl. Ed. 44, 809–822 (2023). https://doi.org/10.1007/s10483-023-2980-6

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  • DOI: https://doi.org/10.1007/s10483-023-2980-6

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