Effectiveness of the stress solutions in notch/crack tip regions by using extended boundary element method

Li, Cong; Niu, Zhongrong; Hu, Zongjun; Hu, Bin; Chen, Cheng

doi:10.1016/j.enganabound.2019.07.005

Cited by 10 publications

(2 citation statements)

References 21 publications

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“…Motamedi et al 40 used an orthotropic crack‐tip enrichment function in the XFEM to simulate the dynamic growth of cracks in anisotropic materials, which is not affected by changes in mesh size and domain size. Li et al 41 used the extended boundary element method to calculate the singular stress field of the planar V‐shaped notch/crack. The XFEM is on the basis of the partition of unity, and at the same time, the step function, and the asymptotic function at the crack tip are used as enrichment functions to represent the discontinuity features in the discontinuous surface.…”

Section: Introductionmentioning

confidence: 99%

A novel crack‐tip singular element for extended finite element analysis

Wang

Ping

Wang

et al. 2023

Fatigue Fract Eng Mat Struct

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The traditional extended finite element method (XFEM) is suitable for simulating crack growth, but the crack‐tip stress field analysis still depends on the enriched function. In this paper, based on the numerical eigensolution of the singular displacement and stress field together with the Hellinger–Reissner (H–R) variational principle, a novel crack‐tip singular element is established to replace the enriched element in the crack‐tip region in the traditional XFEM. The stress field inside the element adopts a series expression instead of only including the leading‐order terms. The element only requires Gaussian integration at the element boundary and avoids mesh refinement in the crack‐tip region. The element can be used to analyze cracks in anisotropic materials, interface cracks, and cracks terminating at the bimaterial interface. The numerical solutions of the singular stress field in various crack forms are presented through numerical examples, which proves the effectiveness and versatility of the novel crack‐tip singular element.

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Section: Introductionmentioning

confidence: 99%

A novel crack‐tip singular element for extended finite element analysis

Wang

Ping

Wang

et al. 2023

Fatigue Fract Eng Mat Struct

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“…Although the well-established and widely used FE method is the dominant numerical tool for solving fracture mechanics problems, other approaches are also described in the literature; for example, the boundary element method is relatively widely used [19,20]. Jiang et al [21] demonstrate material analysis with interfacial cracks using the finite difference method.…”

Section: Introductionmentioning

confidence: 99%

Bridging Law Application to Fracture of Fiber Concrete Containing Oil Shale Ash

et al. 2023

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Concrete is a widely used material in various industries, including hazardous waste management. At the same time, its production creates a significant carbon footprint. Therefore, intensive research is being conducted to create more eco-friendly concrete, for example, partially replacing cement with by-products such as oil shale ash (OSA) or improving properties by adding dispersed fibers such as basalt fibers (BFs). The article consists of experimental testing of nine types of concrete and the modeling of crack propagation in bending. The basic trends of crack propagation in samples of concrete with OSA and BFs are simulated using a two-dimensional Finite Element (FE) model considering only material degradation on the opening crack surface and experimental data of three- and four-point bending tests. Crack propagation is modeled using the bridging law approach. A surrogate model for predicting the peak loading as a function of tensile strength and fracture work was created. An examination of the results of the FE model shows that the bilinear and nonlinear bridging law functions best describe the crack growth in the analyzed material. A comparison of experimental and modeled results showed that the length of the composite BF strongly affects the accuracy of the numerical model.

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