A linearly-independent higher-order extended numerical manifold method and its application to multiple crack growth simulation

Abstract The aim of this study is to propose damage model on the basis of the mechanism for ductile fracture related to void growth and to confirm the applicability of the proposed model to ductile crack growth simulation for steel. To figure out void growth behavior, elasto-plastic finite element analyses using unit cell model with an initial void were methodically performed. From the results of those analyses, it was evident that the relationships between normalized void volume fraction and normalized strain by each critical value corresponding to crack initiation were independent of stress-strain relationship of material and stress triaxiality state. Based on this characteristic associated with void growth, damage evolution law was derived. Then, using the damage evolution law, simple and phenomenological ductile damage model reflecting void growth behavior and ductility of material was proposed. To confirm the validation and application of proposed damage model, the damage model was implemented in finite element models and ductile crack growth resistance was simulated for cracked components were performed. Then, the simulated results were compared with experimental ones and it was found that the proposed damage model could accurately predict ductile crack growth resistance and was applicable to ductile crack growth simulation.

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A Study about Effect of Crack Initiation Behavior on Lifetime by Crack Growth Simulation under Considering the Interference Effect of Multiple Cracks.

Journal of the Society of Materials Science Japan ◽

10.2472/jsms.50.263 ◽

2001 ◽

Vol 50 (3) ◽

pp. 263-270 ◽

Cited By ~ 1

Author(s):

Masayuki KAMAYA

Keyword(s):

Crack Initiation ◽

Crack Growth ◽

Interference Effect ◽

Multiple Cracks ◽

Growth Simulation ◽

Crack Growth Simulation

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Thermal Protection System Crack Growth Simulation Using Advanced Grid Morphing Techniques

Journal of Thermophysics and Heat Transfer ◽

10.2514/1.48046 ◽

2010 ◽

Vol 24 (4) ◽

pp. 708-720 ◽

Cited By ~ 1

Author(s):

E. V. Titov ◽

D. A. Levin ◽

Donald J. Picetti ◽

Brian P. Anderson

Keyword(s):

Crack Growth ◽

Thermal Protection ◽

Thermal Protection System ◽

Protection System ◽

Growth Simulation ◽

Crack Growth Simulation

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On the Topology Update of the Numerical Manifold Method for Multiple Crack Propagation

International Journal of Computational Methods ◽

10.1142/s0219876221500304 ◽

2021 ◽

pp. 2150030

Author(s):

Jun He ◽

Shuling Huang ◽

Xiuli Ding ◽

Yuting Zhang ◽

Dengxue Liu

Keyword(s):

Crack Initiation ◽

Crack Propagation ◽

Numerical Method ◽

Crack Tip ◽

Search Method ◽

Numerical Manifold Method ◽

Crack Initiation And Propagation ◽

Multiple Crack ◽

Initiation And Propagation ◽

Numerical Manifold

Crack initiation and propagation are the two key issues of concern in the geotechnical engineering. In this study, the numerical manifold method (NMM) is applied to simulate crack propagation and the topology update of the NMM for multiple crack propagation is studied. The crack-tip asymptotic interpolation function is incorporated into the NMM to increase the accuracy of the crack-tip stress field. In addition, the Mohr-Coulomb criterion with tensile cut off is adopted to be the crack propagation criterion to judge the direction of crack initiation and propagation. Then a crack tip searching method is developed to automatically update the position of the crack tips. The inapplicability of the original loop search method in the NMM is also illustrated and a novel loop search method based on manifold elements is developed for physical loop updating. Moreover, methods for the manifold element updating and physical cover updating are provided. Based on the above study, the developed numerical method is capable to simulate multiple crack propagation. At last, typical rock rupture problems are numerically simulated to manifest the effectiveness of the developed numerical method.

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