A New Stress Field Model for Semiclosed Crack under Compression considering the Influence of T-Stress

Compression is a typical stress condition for cracks in deep-water structures, where the cracks tend to close from a nonclosed state, due to a certain gap that exists between the surfaces on both sides of cracks. The stress field models around the crack have been established in previous studies, whi...

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Main Authors: Mingyu Feng, Xiaoguang Zhou, Yanbin Zhang, Saifeng Wu
Format: Article
Language:English
Published: Hindawi Limited 2022-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2022/7092716
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author Mingyu Feng
Xiaoguang Zhou
Yanbin Zhang
Saifeng Wu
author_facet Mingyu Feng
Xiaoguang Zhou
Yanbin Zhang
Saifeng Wu
author_sort Mingyu Feng
collection DOAJ
description Compression is a typical stress condition for cracks in deep-water structures, where the cracks tend to close from a nonclosed state, due to a certain gap that exists between the surfaces on both sides of cracks. The stress field models around the crack have been established in previous studies, while the crack surfaces are simply assumed in a nonclosed or full-closed state. In fact, the cracks inside deep-water structures are usually in a semiclosed state, leaving the reliability of calculation results in risk. To reflect the actual state of crack, a comprehensive stress field model around the semiclosed crack is established based on the complex potential theory, and the stress intensity factor KII at the crack tip related to the closure amount of crack surfaces, deep-water pressure, friction coefficient in the closed region, and crack inclination angle is derived. The analytical solution of the stress field around the semiclosed crack contains three T-stress components, i.e., Tx, Ty, and Txy. The rationality and effectiveness of the proposed stress field model are verified by the isochromatic fringe patterns around the crack obtained from the photoelastic experiment. It reveals that the proposed model can reasonably predict the evolution of the stress field with the closure amount of crack under constant and variable stress conditions.
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spelling doaj.art-cc5a4ac67c474badbb28cf7bcdd257e62022-12-22T04:06:29ZengHindawi LimitedAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/7092716A New Stress Field Model for Semiclosed Crack under Compression considering the Influence of T-StressMingyu Feng0Xiaoguang Zhou1Yanbin Zhang2Saifeng Wu3School of Civil EngineeringDepartment of Ocean Science and EngineeringSchool of Civil EngineeringSchool of Mechanics and Engineering ScienceCompression is a typical stress condition for cracks in deep-water structures, where the cracks tend to close from a nonclosed state, due to a certain gap that exists between the surfaces on both sides of cracks. The stress field models around the crack have been established in previous studies, while the crack surfaces are simply assumed in a nonclosed or full-closed state. In fact, the cracks inside deep-water structures are usually in a semiclosed state, leaving the reliability of calculation results in risk. To reflect the actual state of crack, a comprehensive stress field model around the semiclosed crack is established based on the complex potential theory, and the stress intensity factor KII at the crack tip related to the closure amount of crack surfaces, deep-water pressure, friction coefficient in the closed region, and crack inclination angle is derived. The analytical solution of the stress field around the semiclosed crack contains three T-stress components, i.e., Tx, Ty, and Txy. The rationality and effectiveness of the proposed stress field model are verified by the isochromatic fringe patterns around the crack obtained from the photoelastic experiment. It reveals that the proposed model can reasonably predict the evolution of the stress field with the closure amount of crack under constant and variable stress conditions.http://dx.doi.org/10.1155/2022/7092716
spellingShingle Mingyu Feng
Xiaoguang Zhou
Yanbin Zhang
Saifeng Wu
A New Stress Field Model for Semiclosed Crack under Compression considering the Influence of T-Stress
Advances in Mathematical Physics
title A New Stress Field Model for Semiclosed Crack under Compression considering the Influence of T-Stress
title_full A New Stress Field Model for Semiclosed Crack under Compression considering the Influence of T-Stress
title_fullStr A New Stress Field Model for Semiclosed Crack under Compression considering the Influence of T-Stress
title_full_unstemmed A New Stress Field Model for Semiclosed Crack under Compression considering the Influence of T-Stress
title_short A New Stress Field Model for Semiclosed Crack under Compression considering the Influence of T-Stress
title_sort new stress field model for semiclosed crack under compression considering the influence of t stress
url http://dx.doi.org/10.1155/2022/7092716
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