Two-dimensional fracture modeling with the generalized/extended finite element method: An object-oriented programming approach

Malekan, Mohammad; Silva, Leandro L.; Barros, Felício Bruzzi; Pitangueira, Roque Luiz da Silva; Penna, Samuel Silva

doi:10.1016/j.advengsoft.2017.09.005

Cited by 22 publications

(12 citation statements)

References 69 publications

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“…G/XFEM is also used to simulate the cohesive propagation in three dimensional problems by Fert e et al (2016), in large scale engineering problems by Zhang et al (2013) and considering dynamic crack propagation with a three-scale model by Combescure et al (2012). The computational implementation for G/XFEM framework and cohesive propagation is explored by Malekan et al (2018). Kim and Duarte (2015) use a globallocal approach to enrich the approximate solution with numerically obtained functions tailored to describe the cohesive crack propagation in three-dimensional problems.…”

Section: Ec 393 1134mentioning

confidence: 99%

Numerical integration in G/XFEM analysis of 2-D fracture mechanics problems for physically nonlinear material and cohesive crack propagation

Campos

Barros

Penna

2021

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PurposeThe aim of this paper is to present a novel data transfer technique to simulate, by G/XFEM, a cohesive crack propagation coupled with a smeared damage model. The efficiency of this technique is evaluated in terms of processing time, number of Newton–Raphson iterations and accuracy of structural response.Design/methodology/approachThe cohesive crack is represented by the G/XFEM enrichment strategy. The elements crossed by the crack are divided into triangular cells. The smeared crack model is used to describe the material behavior. In the nonlinear solution of the problem, state variables associated with the original numerical integration points need to be transferred to new points created with the triangular subdivision. A nonlocal strategy is tailored to transfer the scalar and tensor variables of the constitutive model. The performance of this technique is numerically evaluated.FindingsWhen compared with standard Gauss quadrature integration scheme, the proposed strategy may deliver a slightly superior computational efficiency in terms of processing time. The weighting function parameter used in the nonlocal transfer strategy plays an important role. The equilibrium state in the interactive-incremental solution process is not severely penalized and is readily recovered. The advantages of such proposed technique tend to be even more pronounced in more complex and finer meshes.Originality/valueThis work presents a novel data transfer technique based on the ideas of the nonlocal formulation of the state variables and specially tailored to the simulation of cohesive crack propagation in materials governed by the smeared crack constitutive model.

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Section: Ec 393 1134mentioning

confidence: 99%

Numerical integration in G/XFEM analysis of 2-D fracture mechanics problems for physically nonlinear material and cohesive crack propagation

Campos

Barros

Penna

2021

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“…Some representative applications would include damage tolerance assessment of aerospace structures [164] and hydraulic fracturing [165]. Significant research effort has also been devoted in implementing the method both in a procedural [161,166] and object oriented framework [167,168]. Thus, implementations of the method can be found in several open source libraries and commercial software packages such as Ansys and Abaqus.…”

Section: Applications In Fracture Mechanics and Extensionsmentioning

confidence: 99%

Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review

et al. 2019

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Three alternative approaches, namely the extended/generalized finite element method (XFEM/GFEM), the scaled boundary finite element method (SBFEM) and phase field methods, are surveyed and compared in the context of linear elastic fracture mechanics (LEFM). The purpose of the study is to provide a critical literature review, emphasizing on the mathematical, conceptual and implementation particularities that lead to the specific advantages and disadvantages of each method, as well as to offer numerical examples that help illustrate these features.

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“…Once strain localisation happens, large strains can accumulate inside a narrow band and eventually lead to fracture (Ortiz et al, 1987;Oliver, 1996;François and Keita, 2015;Tvergaard, 2015). Originated from the traditional FEM methods, the XFEM method is based on the partition of unity method that enriches the FEM shape functions to capture the discontinuities in materials (Belytschko and Black, 1999;Malekan et al, 2018;Jansari et al, 2019). The main advantages of FEM-based fracture models are their high accuracy compared with analytical solutions because the FEM formulation is very versatile in terms of accommodating the implementations of different theoretical models.…”

Section: Introductionmentioning

confidence: 99%

A generic computational model for three-dimensional fracture and fragmentation problems of quasi-brittle materials

Guo

Xiang

Latham

et al. 2020

European Journal of Mechanics - A/Solids

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Fracture and fragmentation in three dimensions are of great importance to understand the mechanical behaviour of quasi-brittle materials in failure stress states. In this paper, a generic computational model has been developed in an in-house C/C++ code using the combined finite-discrete element method, which is capable of modelling the entire three-dimensional fracturing process, including pre-peak hardening deformation, post-peak strain softening,

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Two-dimensional fracture modeling with the generalized/extended finite element method: An object-oriented programming approach

Cited by 22 publications

References 69 publications

Numerical integration in G/XFEM analysis of 2-D fracture mechanics problems for physically nonlinear material and cohesive crack propagation

Numerical integration in G/XFEM analysis of 2-D fracture mechanics problems for physically nonlinear material and cohesive crack propagation

Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review

A generic computational model for three-dimensional fracture and fragmentation problems of quasi-brittle materials

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