XFEM analysis of fiber bridging in mixed-mode crack propagation in composites

Afshar, Arman; Daneshyar, Alireza; Mohammadi, Soheil

doi:10.1016/j.compstruct.2015.02.002

Cited by 77 publications

(29 citation statements)

References 46 publications

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“…For example, with a crack analysis problem, the enriched terms ( ENR u ) are chosen in such a way that both jump displacement through the crack and singularity of stress on the crack's tip are considered [10]. More recently, authors used XFEM enrichment displacement to model complex behavior by combining non-linear bridged crack models [20] or plasticity dynamic dislocation [21] and advantages of classical XFEM to describe arbitrary cracks.…”

Section: Enrichment Function and Integration Of Enriched Elementsmentioning

confidence: 99%

A Comparative Study on Linear Effective Properties Predictions of an Argillite Rock Using XFEM

Wu¹,

Belayachi²,

Hoxha³

et al. 2015

JCEA

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The mechanical behavior of geomaterials is studied using an XFEM (extended finite element method). Usually, the modeling of such heterogeneous material is performed either through an analytical homogenization approach, or numerically, especially for complex microstructures. For comparison, the effective properties are obtained using a classical finite element analysis (through the so-called unit cell method) and an analytical homogenization approach. The use of XFEM proposed here retains the accuracy of the classical finite element approach, allowing one to use meshes that do not necessarily match the physical boundaries of the material constituents. Thanks to such methods, it is then possible to study materials with complex microstructures that have non-simplified assumptions commonly used by other methods, as well as quantify the impact of such simplification. The versatility of XFEM in dealing with complex microstructures, including polycrystalline-like microstructures, is also shown through the role of shape inclusions on the overall effective properties of an argillite rock. Voronoi representation is used to describe the complex microstructure of argillite.

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Section: Enrichment Function and Integration Of Enriched Elementsmentioning

confidence: 99%

A Comparative Study on Linear Effective Properties Predictions of an Argillite Rock Using XFEM

Wu¹,

Belayachi²,

Hoxha³

et al. 2015

JCEA

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“…The XFEM proposed for solving simple discontinuity problems was used for arbitrary three-dimensional cracks. 27 A study of cracks in various materials such as composite materials, 28 incompressible solids, 29 and metallic materials using a ductile damage model 30 was then carried out. In addition, the application range of cracked plates, including holes, inclusions, minor cracks, 31 and multiple cracks of reinforced concrete flexural members, 32 is gradually expanding.…”

Section: Introductionmentioning

confidence: 99%

Enriched degree of freedom locking in crack analysis using the extended finite element method

Kim

2019

Advances in Mechanical Engineering

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In this article, the enriched degree of freedom locking that can occur in a crack analysis with the extended finite element method is described. The discontinuous displacement field formulated by the enriched degree of freedom in the extended finite element method does not activate due to the enriched degree of freedom locking. Using the phantom node method, the occurrence of locking when two adjacent elements are simultaneously cracked in a loading step was verified. Two adjacent cracks can be determined to have developed simultaneously when an analysis model reveals a relatively uniform stress distribution on two adjacent elements. Numerical examples of a simply tensioned bar and a reinforced concrete beam are presented to demonstrate the erroneous analysis result due to the enriched degree of freedom locking. As a simple method to circumvent the enriched degree of freedom locking, the tensile strength of the neighboring elements was slightly increased in the numerical examples, and the effectiveness of the method was demonstrated. The proposed method is simple and easy for practicing engineers, and it can be easily applied to the threedimensional crack propagation analysis.

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“…Therefore, in this study, the fracture behaviour of AM60 Mg alloy under mode I, 45° mixed‐mode, and mode II was investigated. Numerous studies have examined mixed‐mode fracture of materials, including polymers, composites, and rocks . Mixed‐mode fracture behaviour of metals have been studied in some cases .…”

Section: Introductionmentioning

confidence: 99%

Experimental and numerical investigation of the effect of temperature on mixed‐mode fracture behaviour of AM60 Mg alloy

Oskui

Soltani

2019

Fatigue Fract Eng Mat Struct

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The aim of present paper is to experimentally investigate mixed‐mode fracture behaviour of AM60 Mg alloy at low and elevated temperatures. For this purpose, mode I, 45° mixed‐mode, and mode II tests were conducted using a modified version of Arcan device at three different temperatures. An elastic‐plastic finite element model was used to extract necessary geometric parameters. Crack resistance curves (J‐R) and critical J‐integral of the material were extracted. The results indicated that, for all loading modes, maximum critical J‐integral value was observed at ambient temperature and decreased by either increasing or decreasing the temperature. It was observed that effect of temperature on fracture behaviour is much larger at temperatures above 0°C rather than sub‐zero temperatures. By changing the loading angle to go from mode I to mode II, a decreasing trend was observed in the values of critical fracture parameters at all temperatures. Finally, the surfaces were examined using scanning electron microscopy (SEM).

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XFEM analysis of fiber bridging in mixed-mode crack propagation in composites

Cited by 77 publications

References 46 publications

A Comparative Study on Linear Effective Properties Predictions of an Argillite Rock Using XFEM

A Comparative Study on Linear Effective Properties Predictions of an Argillite Rock Using XFEM

Enriched degree of freedom locking in crack analysis using the extended finite element method

Experimental and numerical investigation of the effect of temperature on mixed‐mode fracture behaviour of AM60 Mg alloy

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