Dynamic propagation behaviors of pure mode I crack under stress wave loading by caustics
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Huizhen Liu
,
Enguang Yang
Abstract
It is always a difficult task to study the dynamic fracture of prefabricated cracks under stress wave loading. To investigate loadings of stress waves on dynamic cracks, a crack propagation testing configuration consisting of a one-point bend specimen loaded in split Hopkinson pressure bar (SHPB) was used, which loaded an unconstrained polymethyl methacrylate (PMMA) plate (120 mm × 60 mm × 5 mm) on the edge opposite to the cracked edge. A modified simple pre-cracked specimen geometry under impact stress wave loading to generate pure mode I crack at crack initiation was demonstrated, which can avoid the superposition and interference of various waves to facilitate the research. The numerical simulation was performed firstly by ABAQUS to prove the existence of the mode I field at the crack tip leading to crack propagation and indicate the stress distribution and evolution in the specimen caused by the propagation of the impact stress wave, analyze the propagation characteristics of the wave. Then dynamic caustics method in conjunction with high-speed photography was utilized in SHPB impact experiment. The propagation of shock stress wave in the specimen and its interaction with the prefabricated crack and the stress concentration at the tip of the prefabricated crack were analyzed. The corresponding stress intensity factor history is precisely determined. Finally, it is concluded that the observed distortion phenomenon at the impact point belongs to a caustic behavior under compression load, which reflects the stress concentration at the impact point. And the mode I failure occurs along the pre-crack direction. Specifically, the pre-crack shows obvious pure mode I crack propagation characteristics under symmetrical reflected tensile wave, the stress at the crack tip changes from compressive stress to tensile stress. And crack propagates under tensile stress wave reflected from its two free boundaries without crack, while the compressive stress wave can not make crack initiate and has little influence on crack propagation. Which agree with the numerical prediction.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: Unassigned
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: This research was supported by the National Natural Science Foundation of China (Grant No. 51974316) and the National Key Research and Development Program of China (No. 2021YFB3401501). Awards were granted to the author Liyun Yang.
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Availability of data and material: Data and material will be preserved and will be available upon request.
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Code availability: Software used is commercially available. If needed, authors can help readers in finding the companies providing software used in this work.
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Conflict of interest statement: On behalf of all authors, the corresponding author states that there is no conflict of interest.
References
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Articles in the same Issue
- Frontmatter
- Original Research Articles
- Image-based 3D reconstruction precision using a camera mounted on a robot arm
- Switched-line network with digital phase shifter
- M-lump waves and their interactions with multi-soliton solutions for the (3 + 1)-dimensional Jimbo–Miwa equation
- Optimal control for a class of fractional order neutral evolution equations
- Perceptual evaluation for Zhangpu paper-cut patterns by using improved GWO-BP neural network
- Two new iterative schemes to approximate the fixed points for mappings
- Ulam’s type stability of impulsive delay integrodifferential equations in Banach spaces
- Generalization method of generating the continuous nested distributions
- Wellposedness of impulsive functional abstract second-order differential equations with state-dependent delay
- Numerical study of heat and mass transfer on the pulsatile flow of blood under atherosclerotic condition
- Dynamic propagation behaviors of pure mode I crack under stress wave loading by caustics
- Numerical simulation of buoyancy-induced heat transfer and entropy generation in 3D C-shaped cavity filled with CNT–Al2O3/water hybrid nanofluid
- On coupled system of nonlinear Ψ-Hilfer hybrid fractional differential equations
- Hellinger–Reissner variational principle for a class of specified stress problems
- Viscous dissipation effect on steady natural convection Couette flow with convective boundary condition
- Fredholm determinants and Z n -mKdV/Z n -sinh-Gordon hierarchies
- New soliton waves and modulation instability analysis for a metamaterials model via the integration schemes
- A modified high-order symmetrical WENO scheme for hyperbolic conservation laws
- Cryptanalysis of various images based on neural networks with leakage and time varying delays
- Spectral collocation method approach to thermal stability of MHD reactive squeezed fluid flow through a channel
- Higher order Traub–Steffensen type methods and their convergence analysis in Banach spaces
Articles in the same Issue
- Frontmatter
- Original Research Articles
- Image-based 3D reconstruction precision using a camera mounted on a robot arm
- Switched-line network with digital phase shifter
- M-lump waves and their interactions with multi-soliton solutions for the (3 + 1)-dimensional Jimbo–Miwa equation
- Optimal control for a class of fractional order neutral evolution equations
- Perceptual evaluation for Zhangpu paper-cut patterns by using improved GWO-BP neural network
- Two new iterative schemes to approximate the fixed points for mappings
- Ulam’s type stability of impulsive delay integrodifferential equations in Banach spaces
- Generalization method of generating the continuous nested distributions
- Wellposedness of impulsive functional abstract second-order differential equations with state-dependent delay
- Numerical study of heat and mass transfer on the pulsatile flow of blood under atherosclerotic condition
- Dynamic propagation behaviors of pure mode I crack under stress wave loading by caustics
- Numerical simulation of buoyancy-induced heat transfer and entropy generation in 3D C-shaped cavity filled with CNT–Al2O3/water hybrid nanofluid
- On coupled system of nonlinear Ψ-Hilfer hybrid fractional differential equations
- Hellinger–Reissner variational principle for a class of specified stress problems
- Viscous dissipation effect on steady natural convection Couette flow with convective boundary condition
- Fredholm determinants and Z n -mKdV/Z n -sinh-Gordon hierarchies
- New soliton waves and modulation instability analysis for a metamaterials model via the integration schemes
- A modified high-order symmetrical WENO scheme for hyperbolic conservation laws
- Cryptanalysis of various images based on neural networks with leakage and time varying delays
- Spectral collocation method approach to thermal stability of MHD reactive squeezed fluid flow through a channel
- Higher order Traub–Steffensen type methods and their convergence analysis in Banach spaces
