Automatic 3-D mode I crack propagation calculations with finite elements

Dhondt, Guido

doi:10.1002/(sici)1097-0207(19980228)41:4<739::aid-nme309>3.0.co;2-m

Cited by 45 publications

(22 citation statements)

References 8 publications

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“…In the coupled method, the fast marching method maintains the location and motion of the crack front via signed distance functions, whereas the X-FEM is used to compute the local front velocity. In keeping with standard level set notation, we use in three dimensions are: finite element methods [12,13], boundary element-based techniques [14][15][16][17][18][19], and boundary integral equations [20,21]. Gao and Rice [22] and Lai et al [23] used perturbation analysis to study planar and non-planar cracks, whereas Lazarus and coworkers [24][25][26] conducted planar crack growth simulations.…”

Section: Introductionmentioning

confidence: 99%

Three‐dimensional non‐planar crack growth by a coupled extended finite element and fast marching method

Sukumar

Chopp

Béchet

et al. 2008

Numerical Meth Engineering

113

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SUMMARYA numerical technique for non-planar three-dimensional linear elastic crack growth simulations is proposed. This technique couples the extended finite element method and the fast marching method.In crack modeling using the extended finite element method, the framework of partition of unity is used to enrich the standard finite element approximation by a discontinuous function and the twodimensional asymptotic crack-tip displacement fields. The initial crack geometry is represented by two level set functions, and subsequently signed distance functions are used to maintain the location of the crack and to compute the enrichment functions that appear in the displacement approximation.Crack modeling is performed without the need to mesh the crack, and crack propagation is simulated * Correspondence to: N. Sukumar,

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Section: Introductionmentioning

confidence: 99%

Three‐dimensional non‐planar crack growth by a coupled extended finite element and fast marching method

Sukumar

Chopp

Béchet

et al. 2008

Numerical Meth Engineering

113

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“…3) Complexity in cracking algorithm: it is a significant task for researchers to find an effective and practical cracking algorithm, such as finite element method (FEM) [4][5][6], discontinuous deformation analysis (DDA) and numerical manifold method (NNM) [7], etc. However, each algorithm has its pros and cons.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of cracking potential for concrete arch dam based on simulation feedback analysis

Wang³

et al. 2011

Sci. China Technol. Sci.

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It is still very difficult for researchers and engineers to implement the simulation analysis including a complete process and a full model with the complicated arch dam and the foundation, and to evaluate the cracking potential in the construction and service periods. To take Xiaowan project of China for an example, a practical system of simulation feedback analysis, a specific cracking criterion, and a resolution for the conflicting requirements of temperature and stress/strain simulation are presented, which are put into a successful practice. The simulation results of temperature, stress, and cracking are identical well with the monitor data. A modified temperature control measure is propounded, and the significant effect is gained by adopting the new scheme.arch dam, cracking potential, construction process, finite element method, simulation feedback analysis Citation:Fu S J, He T, Wang G J, et al. Evaluation of cracking potential for concrete arch dam based on simulation feedback analysis.

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“…However, FEM is initially a method for continuum, and only after appropriate revisions can it be used to deal with the problem of cracking simulation. The revision way can be classified into two catalogues: contact element without thickness [5,6], and thin joint element [7]. However, neither of the two types of elements can be directly used to simulate the effects of cracking process and chemical grouting in the Xiaowan arch dam.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of the temperature cracks in Xiaowan arch dam

Wang

Ding

Wang

et al. 2011

Sci. China Technol. Sci.

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In the Xiaowan arch dam there are massive temperature cracks nearly parallel to the dam axis. Obviously, whether the cracks may spread or not during the water storage process is one of the crucial factors for the safety of a dam. In this paper, a new type of crack element, in which the contact component is implicitly included into the concrete component, is proposed to simulate the effects of the existing cracks. The crack element is proved by numerical example to share the merits of both conventional contact elements and joint elements. With a finite element model of the cracked arch dam together with its rock foundation established, the transient displacement and stress fields of the dam are obtained. The complicated rock foundation, the construction process of the arch dam, the massive cracks, the transient temperature field, as well as the water storage process have been taken into consideration in the simulation. In addition to the global model, several sub-models for typical crack tips are also generated with finer elements placed around the tips. Thus, more accurate displacement and stress distribution are obtained by simultaneous sub-model simulation. Based on the calculation of stress intensity factor for crack tips by extension method, the temperature cracks in the Xiaowan arch dam are finally proved to be stable. arch dam, temperature crack, stress intensity factor, finite element method Citation: Wang W M, Ding J X, Wang G J, et al. Stability analysis of the temperature cracks in Xiaowan arch dam.

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Automatic 3-D mode I crack propagation calculations with finite elements

Cited by 45 publications

References 8 publications

Three‐dimensional non‐planar crack growth by a coupled extended finite element and fast marching method

Three‐dimensional non‐planar crack growth by a coupled extended finite element and fast marching method

Evaluation of cracking potential for concrete arch dam based on simulation feedback analysis

Stability analysis of the temperature cracks in Xiaowan arch dam

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