Variation of Fracture Toughness with Biaxial Load and T-Stress under Mode I Condition

The effect of a biaxial load on brittle fractures of solids under predominantly elastic deformation and mode I loading conditions is studied in this article. A cross-shaped specimen is used in this work, and the variation of T-stress is achieved by changing the load applied to the arm parallel to th...

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Main Authors: Chentong Chen, Zhanfeng Li, Chang Xu, Ze Zhu, Sheng Zou
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/18/9319
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author Chentong Chen
Zhanfeng Li
Chang Xu
Ze Zhu
Sheng Zou
author_facet Chentong Chen
Zhanfeng Li
Chang Xu
Ze Zhu
Sheng Zou
author_sort Chentong Chen
collection DOAJ
description The effect of a biaxial load on brittle fractures of solids under predominantly elastic deformation and mode I loading conditions is studied in this article. A cross-shaped specimen is used in this work, and the variation of T-stress is achieved by changing the load applied to the arm parallel to the crack. In the tests, under a series of different loads parallel to the crack, a series of load values perpendicular to the crack are obtained, and the stress intensity factor is calculated by FEM (Finite Element Analysis). The test data demonstrate that the apparent fracture toughness of the material varies with the load parallel to the crack and the T-stress, since the T-stress is directly related to the load parallel to the crack. If only the first term of the Williams series solution is used to describe the stress field near the crack tip, the variation of KC is unexplained; therefore, more than one term in the Williams series solutions is used to develop the theory of biaxial effect on solid fracture behavior. The fracture criterion based on this consideration is also used to predict crack instability or crack curving under mode I load conditions. Experimental data are presented and compared with the theory.
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spelling doaj.art-ff18bc99f0cc4290abb0d5651cbcfae52023-11-23T14:56:40ZengMDPI AGApplied Sciences2076-34172022-09-011218931910.3390/app12189319Variation of Fracture Toughness with Biaxial Load and T-Stress under Mode I ConditionChentong Chen0Zhanfeng Li1Chang Xu2Ze Zhu3Sheng Zou4School of Transportation and Logistics Engineering, Wuhan University of Technology, Wuhan 430063, ChinaTechnical Engineering Department of Port Dalian Bulk Cargo Terminal Company, Dalian 116001, ChinaSchool of Art and Design, Wuhan University of Technology, Wuhan 430070, ChinaSchool of Transportation and Logistics Engineering, Wuhan University of Technology, Wuhan 430063, ChinaSchool of Transportation and Logistics Engineering, Wuhan University of Technology, Wuhan 430063, ChinaThe effect of a biaxial load on brittle fractures of solids under predominantly elastic deformation and mode I loading conditions is studied in this article. A cross-shaped specimen is used in this work, and the variation of T-stress is achieved by changing the load applied to the arm parallel to the crack. In the tests, under a series of different loads parallel to the crack, a series of load values perpendicular to the crack are obtained, and the stress intensity factor is calculated by FEM (Finite Element Analysis). The test data demonstrate that the apparent fracture toughness of the material varies with the load parallel to the crack and the T-stress, since the T-stress is directly related to the load parallel to the crack. If only the first term of the Williams series solution is used to describe the stress field near the crack tip, the variation of KC is unexplained; therefore, more than one term in the Williams series solutions is used to develop the theory of biaxial effect on solid fracture behavior. The fracture criterion based on this consideration is also used to predict crack instability or crack curving under mode I load conditions. Experimental data are presented and compared with the theory.https://www.mdpi.com/2076-3417/12/18/9319T-stresscross-shaped specimenbiaxial loadcrack curving
spellingShingle Chentong Chen
Zhanfeng Li
Chang Xu
Ze Zhu
Sheng Zou
Variation of Fracture Toughness with Biaxial Load and T-Stress under Mode I Condition
Applied Sciences
T-stress
cross-shaped specimen
biaxial load
crack curving
title Variation of Fracture Toughness with Biaxial Load and T-Stress under Mode I Condition
title_full Variation of Fracture Toughness with Biaxial Load and T-Stress under Mode I Condition
title_fullStr Variation of Fracture Toughness with Biaxial Load and T-Stress under Mode I Condition
title_full_unstemmed Variation of Fracture Toughness with Biaxial Load and T-Stress under Mode I Condition
title_short Variation of Fracture Toughness with Biaxial Load and T-Stress under Mode I Condition
title_sort variation of fracture toughness with biaxial load and t stress under mode i condition
topic T-stress
cross-shaped specimen
biaxial load
crack curving
url https://www.mdpi.com/2076-3417/12/18/9319
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AT zhanfengli variationoffracturetoughnesswithbiaxialloadandtstressundermodeicondition
AT changxu variationoffracturetoughnesswithbiaxialloadandtstressundermodeicondition
AT zezhu variationoffracturetoughnesswithbiaxialloadandtstressundermodeicondition
AT shengzou variationoffracturetoughnesswithbiaxialloadandtstressundermodeicondition