Coupling Nonlinear Element Free Galerkin and Linear Galerkin Finite Volume Solver for 2D Modeling of Local Plasticity in Structural Material

doi:10.5829/ije.2020.33.03c.03

Cited by 1 publication

(2 citation statements)

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“…As mentioned before, the GFV is considered as the global model which was first introduced by Sabbagh-Yazdi et al (Alkhamis et al, 2008;2019;Sabbagh-Yazdi and Najar-Nobari, 2020) as an explicit matrix free module, which is an iterative cell-vertex FV solver. GFV is well-examined, and its promising results are proven in various mechanical problems such as dynamic analysis (Sabbagh-Yazdi et al 2019), crack growth (Sabbagh-Yazdi and Bayatlou, Latin American Journal of Solids and Structures, 2020, 17(7), e317 4/19 2012), dynamical failure (Amraei and Fallah 2016), and thermal elasticity (Sabbagh-Yazdi and Amiri-SaadatAbadi, 2013).…”

Section: Galerkin Finite Volume (Gfv) Solvermentioning

confidence: 99%

“…In this paper, the non-intrusive localized IGL coupling scheme is presented to improve the overall efficiency in the mixed-mode crack analysis. The Galerkin finite volume (GFV) (Alkhamis et al, 2008;2019;Sabbagh-Yazdi and Najar-Nobari, 2020) is globally chosen as the fast and robust technique to linearly discretize the entire domain, while the small critical zone is served with the EFG (Belytschko et al 1994;1995). Both methodologies have relative benefits and drawbacks.…”

Section: Introductionmentioning

confidence: 99%

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Global/Local Non-Intrusive Crack Analysis Using Element Free Galerkin and Linear Galerkin Finite Volume Methods

Sabbagh-Yazdi

Najar-Nobari

2020

Lat. Am. j. solids struct.

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Although various numerical methods are proposed to solve a wide range of problems so far, each has its own advantages and disadvantages. Therefore, it would be highly desirable to develop a computationally efficient combined approach, which makes use of their advantages and reduces their drawbacks. In this regard, a nonintrusive iterative global/local (IGL) algorithm is proposed to evaluate the structures with local discontinuity. Firstly, in each iteration, the entire continuum domain is solved using the Galerkin Finite Volume (GFV) method, which consumes light computational workload for predicting accurate results of linear structural response. Then, the Element Free Galerkin (EFG) meshless method is locally employed as an accurate but computationally expensive solver to cover the shortcomings of the GFV solver in the crack analysis. The specific form of Quasi-Newtonian and dynamic accelerators are adopted to increase the convergence rate in each computational increment. Finally, the proposed method's accuracy and speed are examined by computing stress intensity factors (SIFs) for several distinct 2D cracked models.

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Section: Galerkin Finite Volume (Gfv) Solvermentioning

confidence: 99%