The Shielding Effect of the Plastic Zone at Mode-II Crack Tip

Zhou, Rujun; Zhu, Pengxiao; Li, Z.

doi:10.1007/s10704-011-9627-5

Cited by 15 publications

(4 citation statements)

References 20 publications

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“…Therefore, the plastic wake behind the crack tip may also affect the FCG rate. Zhu 49 quantitatively evaluated the shielding effect of the plastic zone in the vicinity of the crack tip based on the transformation toughening theory, and a plasticity-corrected SIF was developed by following this method. 50 Accordingly, the plastic wake will also lead to the shielding effect.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Numerical analysis of fatigue crack growth using a plastically dissipated energy factor based model

Wang

Jiang

2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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The investigation of fatigue crack growth (FCG) behavior may contribute to the assessment of damage tolerance of components. To study the FCG behavior considering the elastic–plastic behavior at the crack tip, a numerical simulation scheme based on compact tension (CT) specimen is developed. Also, an effective plastically dissipated energy (PDE) factor composed of maximum PDE ([Formula: see text]) and PDE range ([Formula: see text]) is proposed to establish the expression for evaluating the FCG rate. The simulation results show good agreement with the results of test under same load conditions. Also, the mesh sensitivity analysis and the comparison with test results confirm the validation of proposed model. Based on the proposed numerical simulation scheme, the FCG behavior is studied by analyzing the influence of plastic wake, mean load, load range, overload, underload, load sequence, and cyclic compression load on FCG from the perspective of crack driving force, FCG rate, and crack opening displacement (COD). It is found from the analysis results that the developed numerical simulation scheme can consider the load history effect and crack closure effect. The mechanisms of these factors on the influence of FCG rate are analyzed in detail.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Numerical analysis of fatigue crack growth using a plastically dissipated energy factor based model

Wang

Jiang

2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…1   (double root). These expanding coefficients have been widely used in explaining physical phenomena [54] , hence, determining these unknowns is necessary in analyzing the inclined crack problems. The proposed method can solve these unknowns directly without any post-processing, providing a deep insight into the stress field of the inclined interface crack.…”

Section:  mentioning

confidence: 99%

A novel size independent symplectic analytical singular element for inclined crack terminating at bimaterial interface

Shen

Wang³

et al. 2017

Applied Mathematical Modelling

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Cracks often exist in composite structures, especially at the interface of two different materials. These cracks can significantly affect the load bearing capacity of the structure and lead to premature failure of the structure. In this paper, a novel element for modeling the singular stress state around the inclined interface crack which terminates at the interface is developed. This new singular element is derived based on the explicit form of the high order eigen solution which is, for the first time, determined by using a symplectic approach. The developed singular element is then applied in finite element analysis and the stress intensity factors (SIFs) for a number of crack configurations are derived. It has been concluded that composites with complex geometric configurations of inclined interface cracks can be accurately simulated by the developed method, according to comparison of the results against benchmarks. It has been found that the stiffness matrix of the proposed singular element is independent of the element size and the SIFs of the crack can be solved directly without any post-processing

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“…Based on the materials’ configurational mechanics (MCMs) [ 35 , 36 ], the extended finite element method (XFEM) is used to reveal the relationship between the energy dissipation and configurational force in different materials, such as brittle materials [ 37 ], viscoelastic and elastoplastic materials [ 38 , 39 ], and superelastic materials [ 40 ], respectively. Moreover, the interaction between I mode crack and inclusions [ 41 , 42 ] and the shielding effect of the II mode crack tip plastic zone [ 43 ] were also revealed through changes in the configurational force. And the SCB test results pointed out the influence of crack location on the crack resistance of asphalt pavements of different types [ 44 ].…”

Section: Introductionmentioning

confidence: 99%

Enhancement Effect of Aggregates on the Low-Temperature Cracking Resistance of Asphalt Mixtures

Du,

2024

Materials

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Aggregates’ configurations result in different stress fields, which change the fracture mode and mechanical properties of an asphalt mixture. To reveal the enhancing effect of aggregates with different particle sizes on the low-temperature cracking resistance of an asphalt mixture, an indirect tensile (IDT) test was carried out to analyze the aggregates’ influence on crack propagation and low-temperature cracking resistance from a macroscopic perspective. And combined with the test results, mesostructure models of an asphalt mixture with different aggregates’ spatial distributions were established through the extended finite element method (XFEM) to analyze changes in the crack propagation path and crack tip configuration force from a mesoscopic perspective. The main results showed that the crack tip configurational force was reduced due to the aggregate size increasing, demonstrating the inhibitory effect of aggregates on crack propagation. This contributes to enhancing asphalt mixtures’ low-temperature cracking resistance. Compared to single-grain aggregates, multi-grain aggregates exhibit a greater inhibitory effect on crack propagation. Nonetheless, an excessive disparity in particle sizes compromises particle continuity, leading to the formation of more branching cracks. Meanwhile, the aggregates’ inhibitory effect on crack propagation is influenced by the crack deflection angle. In particular, when the crack deflection angle, β, equals 45°, the crack tip’s configurational force is notably larger, leading the crack to enter an unstable state conducive to the expansion and formation of macrocracks. The research results reveal aggregates’ inhibitory effect on crack propagation from a macro- and microperspective and reveal the relationship between aggregate configurations and the low-temperature cracking resistance of asphalt mixtures.

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The Shielding Effect of the Plastic Zone at Mode-II Crack Tip

Cited by 15 publications

References 20 publications

Numerical analysis of fatigue crack growth using a plastically dissipated energy factor based model

Numerical analysis of fatigue crack growth using a plastically dissipated energy factor based model

A novel size independent symplectic analytical singular element for inclined crack terminating at bimaterial interface

Enhancement Effect of Aggregates on the Low-Temperature Cracking Resistance of Asphalt Mixtures

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