The numerical simulation of crack propagation using radial point interpolation meshless methods

Ramalho, L.D.C.; Belinha, J.; Campilho, R.D.S.G.

doi:10.1016/j.enganabound.2019.10.001

Cited by 28 publications

(4 citation statements)

References 38 publications

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“…Ramalho et al proposed a new crack propagation prediction algorithm, and verified it can predict crack paths accurately. 15 Saloustros et al concluded the numerical model which applied to the analysis of small- and large-scale masonry and concrete structures under monotonic and cyclic loading. 16…”

Section: Introductionmentioning

confidence: 99%

A study of loading rate effect fracture behavior of concrete based on digital image correlation and finite-element method

Chen

Cheng

et al. 2020

The Journal of Strain Analysis for Engineering Design

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To study the rate effect on the fracture properties of concrete, 700 mm × 150 mm × 100 mm specimens with a 60-mm notch were used for three-point bending test at the loading rate of 0.0005, 0.005, 0.05, and 0.5 mm/s, respectively. In the test, digital image correlation was used for monitoring the fracture process. The result shows that the fracture stress, unstable fracture toughness, and fracture energy have rate sensitivity. The numerical simulation was performed by extended finite-element model. The model calibration had a very good agreement with the experimental result under different loading rate. Meanwhile, fracture process zone length calculated by digital image correlation is similar to the result obtained by the extended finite-element model under different loading rate.

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Section: Introductionmentioning

confidence: 99%

A study of loading rate effect fracture behavior of concrete based on digital image correlation and finite-element method

Chen

Cheng

et al. 2020

The Journal of Strain Analysis for Engineering Design

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“…A three-node triangular element fitted to the NMM with continuous nodal stress called Trig3-CNS (NMM) element for accurately modeling two-dimensional linear elastic fracture problems was presented by Yang and Zheng [40]. Many other applications of the meshless method and NMM to fracture and fatigue analyses can also be found in the literature [41][42][43][44][45]. Besides, many other researches [46][47][48][49][50][51][52][53] were conducted by numerical simulation or model test to study the fracture evolution and failure process of various kinds of engineering problems.…”

Section: Introductionmentioning

confidence: 99%

Fracture and Fatigue Analyses of Cracked Structures Using the Iterative Method

Tian

Cheng

2021

Geofluids

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It is a quite challenging subject to efficiently perform fracture and fatigue analyses for complex structures with cracks in engineering. To precisely and efficiently study crack problems in practical engineering, an iterative method is developed in this study. The overall structure which contains no crack is analyzed by the traditional finite element method (FEM), and the crack itself is analyzed using analytical solution or other numerical solutions which are effective and efficient for solving crack problems. An iteration is carried out between the two abovementioned solutions, and the original crack problem could be solved based on the superposition principle. Several typical crack problems are studied using the present method, showing very high precision and efficiency of this method when making fracture and fatigue analyses of structures.

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“…Using radial basis functions (RBF) as trial functions, RPIM is robust for irregular nodal distributions. The RPIM has been successfully used to solve many problems [37][38][39][40][41]. In addition, some improved RPIMs and coupling technologies based on RPIM have emerged [42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

An Improved 2D Meshfree Radial Point Interpolation Method for Stress Concentration Evaluation of Welded Component

et al. 2020

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The study of characterizing the stress concentration effects at welds is one of the most important research directions for predicting the fatigue life of welded components. Stress solutions at the weld toe obtained from conventional meshfree methods are strongly influenced by parameters used in the methods as a result of stress singularity. In this study, an improved 2D meshfree radial point interpolation method (RPIM) is proposed for stress concentration evaluation of a welded component. The stress solutions are insensitive to parameters used in the improved RPIM. The improved RPIM-based scheme for consistently calculating stress concentration factor (SCF) and stress intensity factor at weld toe are presented. Our studies provide a novel approach to apply global weak-form meshfree methods in consistently computing SCFs and stress intensity factors at welds.

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The numerical simulation of crack propagation using radial point interpolation meshless methods

Cited by 28 publications

References 38 publications

A study of loading rate effect fracture behavior of concrete based on digital image correlation and finite-element method

A study of loading rate effect fracture behavior of concrete based on digital image correlation and finite-element method

Fracture and Fatigue Analyses of Cracked Structures Using the Iterative Method

An Improved 2D Meshfree Radial Point Interpolation Method for Stress Concentration Evaluation of Welded Component

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