منابع مشابه
Introduction to eXtended Finite Element (XFEM) Method
Abstract: In the present study the software CrackComput , based on the Xfem and Xcrack libraries has been used for three problemsto experiment on the convergence properties of the method applied to elasto-statics crack problems, comparison of stress intensity factors to simplified analytical results and study of the Brazilian fracture test. All the problems are treated in two dimensions under p...
متن کاملExtended Finite Element Method for Statics and Vibration Analyses on Cracked Bars and Beams
In this paper, the extended finite element method (XFEM) is employed to investigate the statics and vibration problems of cracked isotropic bars and beams. Three kinds of elements namely the standard, the blended and the enriched elements are utilized to discretize the structure and model cracks. Two techniques referred as the increase of the number of Gauss integration points and the rectangle...
متن کاملThe Effects of Newmark Method Parameters on Errors in Dynamic Extended Finite Element Method Using Response Surface Method
The Newmark method is an effective method for numerical time integration in dynamic problems. The results of Newmark method are function of its parameters (β, γ and ∆t). In this paper, a stationary mode I dynamic crack problem is coded in extended finite element method )XFEM( framework in Matlab software and results are verified with analytical solution. This paper focuses on effects of main pa...
متن کاملبررسی جواب های کامپکتون معادلات دیفرانسیل غیرخطی با استفاده از finite element method
کامپکتون ها، سالیتون هایی با پهنای محدود هستند. معادلات(k(m,n به ازای مقادیر خاصی از m و n دارای جواب کامپکتون هستند. از جمله این معادلات، معادلات (k(2,2 و (k(3,3 است. به دلیل خاصیت شبه ذره ای کامپکتون ها، این امواج بسیار مورد توجه فیزیکدانان قرار گرفته اند. برای بررسی کامپکتون ها، روش های عددی بسیاری وجود دارد. یکی از این روش ها که می توان برای حل این معادلات از آن استفاده کرد، روش المان های م...
15 صفحه اولOn enrichment functions in the extended finite element method
This paper presents mathematical derivation of enrichment functions in the extended finite element method (XFEM) for numerical modelling of strong and weak discontinuities. The proposed approach consists in combining the level set method with characteristic functions as well as domain decomposition and reproduction technique. We start with the simple case of a triangular linear element cut by o...
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ژورنال
عنوان ژورنال: Applied Numerical Mathematics
سال: 2021
ISSN: 0168-9274
DOI: 10.1016/j.apnum.2020.12.008