پیوندهای مفید
آمار
| تعداد نشریات | 8 |
| تعداد شماره‌ها | 428 |
| تعداد مقالات | 5,579 |
| تعداد مشاهده مقاله | 6,868,385 |
| تعداد دریافت فایل اصل مقاله | 5,833,954 |
مدل‌سازی ترک با استفاده از توابع درونیاب غنی‌ساز پوشش | ||
| نشریه مهندسی عمران امیرکبیر | ||
| مقاله 6، دوره 52، شماره 2، اردیبهشت 1399، صفحه 371-382 اصل مقاله (1.82 M) | ||
| نوع مقاله: مقاله پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22060/ceej.2019.13840.5487 | ||
| نویسندگان | ||
| حامد ارزانی* 1؛ الهام خوش باور راد2 | ||
| 1استادیار دانشکده مهندسی عمران -دانشگاه تربیت دبیر شهید رجائی-لویزان- تهران- ایران | ||
| 2دانشجوی دکترا | ||
| چکیده | ||
| روش عددی پوشش، یک روش بر پایه افراز واحد می‌باشد که با استفاده از درجات متناسبی از توابع غنی سازی در نقاط دارای خطای باال باعث افزایش دقت می‌گردد. در این روش توابع درونیاب غنی ساز به نقاطی که فاقد دقت کافی‌اند ، اعمال می‌گردند. کارآمدی روش پوشش تا به حال برای بسیاری از مسائل مهندسی به اثبات رسیده است. ناپیوستگی جابجایی در مرز ترک توسط توابع هویساید مدل می‌گردد و همچنین توابعی برای مدل کردن ضریب شدت تنش نوک ترک به توابع درونیاب پوشش اضافه می‌گردد. در این مقاله توانمندی روش پیشنهادی با ارزیابی پارامترهای شکست برای مثال‌های متنوعی از ترک‌های ثابت مورد بررسی قرار گرفته است. صحت‌یابی و توانمندی روش با سه مثال عددی شامل ترک مرکزی، ترک لبه و ترک مایل مرکزی با زوایای مختلف مورد بررسی قرار گرفته است. مقایسه جواب‌های حاصل از روش پیشنهادی با جواب دقیق و روش‌های دیگر محققان در حوزه مسائل الاستیسیته خطی، حکایت از کارایی و دقت قابل قبول روش پیشنهادی دارد. | ||
| کلیدواژه‌ها | ||
| روش توابع درونیاب پوشش: حوزه های ناپیوسته: توابع هویساید: ترک | ||
| عنوان مقاله [English] | ||
| The Analyzing of the Discontinuity Problem by Enriched Interpolation Covers | ||
| نویسندگان [English] | ||
| Hamed Arzani1؛ Elham Khoshbavar Rad2 | ||
| 1Civil Eng. Dep. Shahid Rajaee Teacher Training Univ. Lavizan. Tehran. Iran | ||
| 2Phd. Student | ||
| چکیده [English] | ||
| The cover numerical method is based on unit partitioning, using enrichment functions of various orders, this method increases the accuracy at every point. In this method, unknowns are added to the points of not sufficient accuracy, regarding to the enrichment interpolating functions. The cover method has proved its efficiency in a variety of engineering problems. The Heaviside function models the displacement discontinuity on the crack boundary. Such functions are added to model the coefficient of stress intensity for the tip of the crack. In this paper, the proposed method has been verified by evaluating crack parameters for instances containing fixed fractures. In the end, three numerical instances containing central crack, edge crack and inclined crack with three different cracks are inspected. The comparison of the results from the presented method, with exact solutions and other solutions in the area of linear elasticity, proves the reliability and accuracy of the proposed method. | ||
| کلیدواژه‌ها [English] | ||
| The interpolating cover Functions method, Discontinuous fields, Heaviside function, Crack | ||
| مراجع | ||
|
[1] Trädegård, A., F. Nilsson, and S. Östlund, FEMremeshing technique applied to crack growth problems. Computer Methods in Applied Mechanics and Engineering, 1998. 160(1-2): p. 115-131. [2] Bouchard, P.-O., F. Bay, and Y. Chastel, Numerical modelling of crack propagation: automatic remeshing and comparison of different criteria. Computer methods in applied mechanics and engineering, 2003. 192(35-36): p. 3887-3908. [3] Heintz, P., On the numerical modelling of quasi‐static crack growth in linear elastic fracture mechanics. International Journal for Numerical Methods in Engineering, 2006. 65(2): p. 174-189. [4] Khoei, A., H. Azadi, and H. Moslemi, Modeling of crack propagation via an automatic adaptive mesh refinement based on modified superconvergent patch recovery technique. Engineering Fracture Mechanics, 2008. 75(10): p. 2921-2945. [5] Liu, W.K., S. Jun, and Y.F. Zhang, Reproducing kernel particle methods. International journal for numerical methods in fluids, 1995. 20(8‐9): p. 1081-1106. [6] Atluri, S.N. and T. Zhu, A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Computational mechanics, 1998. 22(2): p. 117-127. [7] Belytschko, T., Y.Y. Lu, and L. Gu, Element‐free Galerkin methods. International journal for numerical methods in engineering, 1994. 37(2): p. 229-256. [8] Arzani, H., A. Kaveh, and M. Dehghan, Adaptive node moving refinement in discrete least squares meshless method using charged system search. Scientia Iranica, 2014. 21(5): p. 1529-1538. [9] Arzani, H., A. Kaveh, and M. Taheri Taromsari, Optimum two-dimensional crack modeling in discrete least-squares meshless method by charged system search algorithm. Scientia Iranica, 2017. 24(1): p. 143152. [10] Belytschko, T., Y. Lu, and L. Gu, Crack propagation by element-free Galerkin methods. Engineering Fracture Mechanics, 1995. 51(2): p. 295-315. [11] Melenk, J.M. and I. Babuška, The partition of unity finite element method: basic theory and applications. Computer methods in applied mechanics and engineering, 1996. 139(1-4): p. 289-314. [12] Moës, N., J. Dolbow, and T. Belytschko, A finite element method for crack growth without remeshing. International journal for numerical methods in engineering, 1999. 46(1): p. 131-150. [13] Strouboulis, T., I. Babuška, and K. Copps, The design and analysis of the generalized finite element method. Computer methods in applied mechanics and engineering, 2000. 181(1-3): p. 43-69. [14] Strouboulis, T., K. Copps, and I. Babuška, The generalized finite element method: an example of its implementation and illustration of its performance. International Journal for Numerical Methods in Engineering, 2000. 47(8): p. 1401-1417. [15] Shi, G.h. and R.E. Goodman, Generalization of two‐dimensional discontinuous deformation analysis for forward modelling. International Journal for Numerical and Analytical Methods in Geomechanics, 1989. 13(4): p. 359-380. [16] Ghasemzadeh, H., M. Ramezanpour, and S. Bodaghpour, Dynamic high order numerical manifold method based on weighted residual method. International Journal for Numerical Methods in Engineering, 2014. 100(8): p. 596-619. [17] Zheng, H. and D. Xu, New strategies for some issues of numerical manifold method in simulation of crack propagation. International Journal for Numerical Methods in Engineering, 2014. 97(13): p. 986-1010. [18] Terada, K., et al., Finite cover method for progressive failure with cohesive zone fracture in heterogeneous solids and structures. Computational Mechanics, 2007. 39(2): p. 191-210. [19] Zheng, H., F. Liu, and X. Du, Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method. Computer Methods in Applied Mechanics and Engineering, 2015. 295: p. 150-171. [20] Kim, J. and K.-J. Bathe, The finite element method enriched by interpolation covers. Computers & Structures, 2013. 116: p. 35-49. [21] Kim, J. and K.-J. Bathe, Towards a procedure to automatically improve finite element solutions by interpolation covers. Computers & Structures, 2014. 131: p. 81-97. [22] Wawrzynek, P.A. and A.R. Ingraffea, An interactive approach to local remeshing around a propagating crack. Finite Elements in Analysis and Design, 1989. 5(1): p. 87-96. [23] Zhang, H., et al., Numerical analysis of 2-D crack propagation problems using the numerical manifold method. Engineering analysis with boundary elements, 2010. 34(1): p. 41-50. [24] Arzani, H. and E. Khoshbavar Rad, Automatic Adaptive Finite Element Enrichement using Interpolation Cover Functions. Computational Methods in Engineering, 2019. 37(2): p. 79-96. [25] Belytschko, T. and T. Black, Elastic crack growth in finite elements with minimal remeshing. International journal for numerical methods in engineering, 1999. 45(5): p. 601-620. [26] Ewalds, H. and E. WANHILL, Fracture Mechanics, Ed. Edward Arnold, 1986. 10. [27] Karihaloo, B.L., Fracture mechanics & structural concrete. Longman Scientific and Technical, 1995. [28] Zhang, H. and S. Zhang, Extract of stress intensity factors on honeycomb elements by the numerical manifold method. Finite elements in analysis and design, 2012. 59: p. 55-65. [29] Mousavi, S., E. Grinspun, and N. Sukumar, Harmonic enrichment functions: A unified treatment of multiple, intersecting and branched cracks in the extended finite element method. International Journal for Numerical Methods in Engineering, 2011. 85(10): p. 1306-1322.
| ||
|
آمار تعداد مشاهده مقاله: 753 تعداد دریافت فایل اصل مقاله: 681 |
||