Abstract
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 non-intrusive 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.
Highlights
The crack analysis and its numerical simulation is among the most complex problems in computational mechanics, which needs accurate models and substantial amount of computational resources
Since the industrial sources of discontinuities are usually localized in extremely small regions, even if the discontinuous enrichments are well-defined, the original mesh size may be too coarse for precise crack simulation (Rangarajan and Lew, 2012)
The coupling techniques can be classified as applied multi-model answers
Summary
Hagen and Von Estorff (Von Estorff and Hagen, 2006) were conducted extensive parametric studies to achieve an ideal relaxation parameter based on the interface displacements and unbalanced forces Despite all these efforts and progress, the computational efficiency and accuracy of coupling techniques are still an open issue that needs more investigations to reach an efficient model with lower intrusiveness (this is the point we will focus on in this paper). The purpose is to generate a non-intrusive global/local coupling, which allows us to implement the necessary modifications without any changes carrying out to the corresponding mesh or solver This technique seems restrictive, enables one to couple numerous software such as Abaqus and Ls-Dyna or research black box codes together without any fundamental modifications. Considering linear fracture mechanics, it is shown that the proposed methodology provides acceptable outcomes and is both fast and robust
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