An improved hybrid boundary node method for 2D crack problems

Tan, Fei; Zhang, Youliang; Li, Yinping

doi:10.1007/s00419-014-0902-6

Cited by 5 publications

(4 citation statements)

References 49 publications

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“…L R (1) + R (2) , ball − ball R (1) , ball − f acet (3) where k n and k n normal stiffness and parallel bond normal stiffness, respectively; k s and k s shear stiffness and parallel bond shear stiffness, respectively; L central distance between particles or between a particle and the wall; R (1) and R (2) radii of two contacted particles; A contact cross-sectional area; E* and E * effective modulus and parallel bond modulus, respectively; k* and k * normal-to-shear stiffness ratio and parallel bond stiffness ratio, respectively.…”

Section: Contact Modelmentioning

confidence: 99%

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Microdynamic simulations of crack evolution in asphalt mixtures under three-point bending loads

et al. 2021

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Microcrack propagation in asphalt mixtures leads to macroscopic cracks in pavement. It is necessary to study crack evolution from the perspective of micromechanics to precisely predict structural damage. This paper developed a micromechanical model of three-point bending under a bending fatigue load for a bitumen specimen that was a three-phase asphalt mixture composed of coarse aggregate, asphalt mortar and air voids. A three-point bending test was carried out to verify the correctness of the micromechanical model. The microscopic parameters of bitumen were calibrated by fitting the stress-strain curve of the laboratory test data. Microdynamic simulations demonstrated that the growth of microcracks included an initial transition period, a rapid growth period and a stable period. The microcrack propagated from the bottom edge to the center of the specimen under the bending load, mainly within the asphalt mortar or asphalt-aggregate interface. Compared with a static load, the longitudinal stress at the microcracks was much larger, and the number of microcracks increased more rapidly, under the dynamic load. The width of the microcrack increased instantaneously when the internal stress state of the specimen reached its material strength, then changed almost periodically with sinusoidal loading and finally stabilized. The micromechanical modeling method can potentially be used to predict the position and width of macroscopic cracks in asphalt pavement.

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Section: Contact Modelmentioning

confidence: 99%

“…The crack evolution of asphalt mixtures has been widely investigated experimentally and numerically in pavement engineering studies [3][4][5][6]. Asphalt materials are discontinuous media consisting of mineral aggregates with high strength, asphalt mortar with relatively weak cohesive forces and air voids [7].…”

Section: Introductionmentioning

confidence: 99%

Microdynamic simulations of crack evolution in asphalt mixtures under three-point bending loads

et al. 2021

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“…Daux et al [4] presented the extended finite element method (X-FEM) for the analysis of cracks with multiple branches and cracks emanating from holes. Tan et al [5] developed the hybrid boundary node method and the displacement discontinuity method for the analysis of a branched crack and a star-shaped crack in a finite plate. Borovik [6] determined the effective elastic properties of a sintered material with branched cracks.…”

Section: Introductionmentioning

confidence: 99%

Analysis of closed branched and intersecting cracks by the boundary element method

Fedeliński

2022

Acta Mech

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The boundary element method (BEM) and a computer code for the analysis of plates with closed branched and intersecting cracks are developed. The BEM enables simple and accurate modelling of cracked plates by using boundary elements. Contact tractions between crack surfaces are computed using an iterative procedure. Stress intensity factors (SIFs) are determined using the path-independent integral. Three numerical examples are studied: a star-shaped crack in a square plate, multiple interacting cracks in an infinite plate and randomly distributed and intersecting cracks in a square plate. The examples demonstrate the simplicity of numerical modelling, the accuracy of the method and the possible applications. The influences of load directions, distances between cracks and the contact of the crack surfaces on SIF are investigated. For the plate with randomly distributed cracks, the effective elastic properties are additionally computed by considering or neglecting contact of crack surfaces. The results show that the importance of the contact procedure depends on how the cracked material is loaded.

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“…The method allows the modelling of discontinuities independently of the mesh. Tan et al [5] developed the method in which the original crack problem is decomposed into two problems, and the hybrid boundary node method is used to model the finite domain of the body without a crack and the displacement discontinuity method to analyze the crack. The results are added and compared with the boundary conditions of the original problem.…”

Section: Introductionmentioning

confidence: 99%

Dynamically Loaded Branched and Intersecting Cracks

Fedeliński

2017

ZNPRzBiS

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The boundary element method (BEM) is applied to analysis of statically and dynamically loaded plates with branched and intersecting cracks. The numerical solution is obtained by discretization of external boundaries and crack surfaces using quadratic three-node boundary elements. The problem of coincident crack boundaries is solved by the dual BEM in which for nodes on crack surfaces simultaneously the displacement and the traction boundary integral equations are applied. The dynamic problem is solved by using the Laplace transform method and the solution in the time domain is computed by the Durbin numerical inversion method. The Laplace transform method gives very stable and accurate results and requires small computer memory. Static stress intensity factors (SIF) are computed by the path independent J-integral and dynamic SIF by the crack opening displacement (COD) method. Numerical examples of a branched crack in a rectangular plate and a star-shaped crack in a square plate are presented. Static SIF are compared with available results presented in literature showing good agreement. The maximum dynamic SIF are approximately two times larger than the corresponding static SIF. The influences of angles between branches of the crack and dimensions of the plate for the star-shaped crack on dynamic SIF are analyzed.

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An improved hybrid boundary node method for 2D crack problems

Cited by 5 publications

References 49 publications

Microdynamic simulations of crack evolution in asphalt mixtures under three-point bending loads

Microdynamic simulations of crack evolution in asphalt mixtures under three-point bending loads

Analysis of closed branched and intersecting cracks by the boundary element method

Dynamically Loaded Branched and Intersecting Cracks

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