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Abbasiniyan, Liela, Hoseini, Seyed hamed, faroughi, Shirko. (1400). Fracture analysis of pre-cracked and notched thin plates using peridynamic theory. فناوری آموزش, 11(2), 329-338. doi: 10.22061/jcarme.2019.5136.1628
Liela Abbasiniyan; Seyed hamed Hoseini; Shirko faroughi. "Fracture analysis of pre-cracked and notched thin plates using peridynamic theory". فناوری آموزش, 11, 2, 1400, 329-338. doi: 10.22061/jcarme.2019.5136.1628
Abbasiniyan, Liela, Hoseini, Seyed hamed, faroughi, Shirko. (1400). 'Fracture analysis of pre-cracked and notched thin plates using peridynamic theory', فناوری آموزش, 11(2), pp. 329-338. doi: 10.22061/jcarme.2019.5136.1628
Abbasiniyan, Liela, Hoseini, Seyed hamed, faroughi, Shirko. Fracture analysis of pre-cracked and notched thin plates using peridynamic theory. فناوری آموزش, 1400; 11(2): 329-338. doi: 10.22061/jcarme.2019.5136.1628

Fracture analysis of pre-cracked and notched thin plates using peridynamic theory

Journal of Computational & Applied Research in Mechanical Engineering (JCARME)
مقاله 4، دوره 11، شماره 2 - شماره پیاپی 22، خرداد 2022، صفحه 329-338    اصل مقاله (751.34 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22061/jcarme.2019.5136.1628
نویسندگان
Liela Abbasiniyan؛ Seyed hamed Hoseini؛ Shirko faroughi*
Faculty of Mechanical Engineering, Urmia University of Technology, Urmia, Iran
تاریخ دریافت: 03 اردیبهشت 1398،  تاریخ بازنگری: 03 شهریور 1398،  تاریخ پذیرش: 06 شهریور 1398 
چکیده
In this paper, the crack propagation and branching in the pre-cracked and notched samples have been modeled using nonlocal peridynamic theory. The bond-based peridynamic model has been numerically implemented which make it possible to simulate various features of dynamic brittle fracture such as crack propagation, asymmetries of crack paths and successive branching. The fracture simulation of thin plates made of a brittle material with different crack and notch patterns has been considered. The molecular dynamics open-source free LAMMPS code has been updated to implement the peridynamic theory based modeling tool for two-dimensional numerical analysis. The simulations show that, the simulation time significantly decreases which is the core and distracting deficiency of the peridynamic method. Moreover, the simulated results demonstrate the capability of peridynamic theory to precisely predict the crack propagation paths as well as crack branching during dynamic fracture process. The good agreement between simulation and experiments is achieved.
کلیدواژه‌ها
Peridynamic Theory؛ Brittle Fracture؛ Crack Branching؛ Thin Plate
مراجع
[1] S.R. Chowdhury, M.M. Rahaman, D. Roy, and N. Sundaram, “A micropolar peridynamic theory in linear elasticity”, International Journal of Solids and Structures, Vol. 59, pp.171-182, (2015).

[2] A. C. Eringen, Continuum Physics: Polar and Nonlocal Field Theories, first ed., Elsevier, (1976).

[3] A. C. Eringen, Continuum Physics: Mixtures and EM Field Theories, first ed., Elsevier, (1976).

[4] K. Khorshidi, and A. Fallah, “Buckling analysis of functionally graded rectangular nano-plate based on nonlocal exponential shear deformation theory”, International Journal of Mechanical Sciences, Vol. 113, pp. 94-104, (2016).

[5] S.A. Silling, and R.B. Lehoucq, “Peridynamic theory of solid mechanics”, Advances in applied mechanics, Vol. 44, pp. 73-168,(2010).

[6] A. Ahadi, and S. Melin, “Capturing nanoscale effects by peridynamics”, Mechanics of Advanced Materials and Structures, Vol. 25, No. 13, pp.1115-1120, (2018).

[7] S. A. Silling, “Reformulation of elasticity theory for discontinuities and long-range forces”, Journal of the Mechanics and Physics of Solids, Vol. 48, No. 1, pp.175-209, (2000).

[8] S. A. Silling, M. Epton, O. Weckner, J. Xu, and E. Askari, “Peridynamic states and constitutive modeling”, Journal of Elasticity, Vol. 88, No. 2, pp.151-184, (2007).

[9] T. Ni, M. Zaccariotto, Q.Z. Zhu, and U. Galvanetto, “Static solution of crack propagation problems in Peridynamics”, Computer Methods in Applied Mechanics and Engineering, Vol. 346, pp.126-151, (2019).

[10] S. A. Silling, and E. Askari, “A meshfree method based on the peridynamic model of solid mechanics”, Computers & structures, Vol. 83, pp. 1526-1535, (2005).

[11] B. Kilic, and E. Madenci, “Structural stability and failure analysis using peridynamic theory”, International Journal of Non-Linear Mechanics, Vol. 44, pp. 845-854, (2009).

[12] Y. D. Ha, and F. Bobaru, “Studies of dynamic crack propagation and crack branching with peridynamics”, International Journal of Fracture, Vol. 162,  pp.229-244, (2010).

[13] F. Bobaru, and Y. D. Ha, “Adaptive refinement and multiscale modeling in 2D peridynamics”, International Journal for Multiscale Computational Engineering, Vol. 9, No. 6, pp. 635-660, (2011).

[14] Y. D. Ha, and F. Bobaru, “Characteristics of dynamic brittle fracture captured with peridynamics”, Engineering Fracture Mechanics,  Vol. 78, No. 6, pp. 1156-1168, (2011).

[15] H. Ren, X.  Zhuang, Y. Cai, and T. Rabczuk, “Dual‐horizon peridynamics”, International Journal for Numerical Methods in Engineering, Vol. 108, No.12, pp.1451-1476, (2016).

[16] F. Bobaru, and G. Zhang, “Why do cracks branch? A peridynamic investigation of dynamic brittle fracture”, International Journal of Fracture, Vol. 196, pp. 59-98,(2015).

[17] Y. L Hu,  N. V. De Carvalho, and E. Madenci, “Peridynamic modeling of delamination growth in composite laminates”, Composite Structures, Vol. 132, pp.610-620, (2015).

[18] B. Kilic, A. Agwai, and E. Madenci, “Peridynamic theory for progressive damage prediction in center-cracked composite laminates”, Composite Structures, Vol. 90, pp. 141-151, (2009).

[19] Yi-le Hu, Yin Yu, and Hai Wang, “Peridynamic analytical method for progressive damage in notched composite laminates”, Composite Structures, Vol. 108, pp. 801-810, (2014).

[20] E. Madenci, K. Colavito, and N. Phan, “Peridynamics for unguided crack growth prediction under mixed-mode loading”, Engineering Fracture Mechanics, Vol. 167, pp.34-44, (2016).

[21] P. Seleson, D. Littlewood, “Convergence studies in meshfree peridynamic simulations” Computers & Mathematics with Applications, Vol. 71, pp.2432–48, (2016).

[22] Qiang Du, Yunzhe Tao, and Xiaochuan Tian, “A peridynamic model of fracture mechanics with bond-breaking”, Journal of Elasticity, Vol. 132, No. 2, pp. 197–218, (2018).

[23]      S.A. Silling, O. Weckner, E. Askari, and F. Bobaru, “Crack nucleation in a peridynamic solid”, International Journal of Fracture, Vol. 162, pp. 219–227, (2010).

[24] DongYang, Wei Dong, Xuefeng Liu, Shenghui Yi,and  Xiaoqiao He, “Investigation on mode-I crack propagation in concrete using bond-based peridynamics with a new damage model”, Engineering Fracture Mechanics, Vol. 199, pp. 567-581, (2018).

[25] S. Rokkam, M. Gunzburger, M. Brothers, N. Phan, and K. Goel, “A Nonlocal Peridynamics Modeling Approach for Corrosion Damage and Crack Propagation”, Theoretical and Applied Fracture Mechanics, Vol. 101, pp. 373-387, (2019).

[26] T. Ni, M. Zaccariotto, Q.Z. Zhu, and U. Galvanetto, “Coupling of FEM and ordinary state-based peridynamics for brittle failure analysis in 3D”, Mechanics of Advanced Materials and Structures, pp.1-16, (2019).

[27] https://www.sandia.gov/~sasilli/

[28] R.W. Macek, and S.A. Silling, “Peridynamics via finite element analysis”, Finite Elements in Analysis and Design, Vol. 43, No. 15, pp.1169-1178, (2007).

[29] Y. D. Ha, and F. Bobaru, “Studies of dynamic crack propagation and crack branching with peridynamics”, International Journal of Fracture, Vol. 162, No.1-2, pp. 229-244, (2010).

[30] E. Axinte, “Glasses as engineering materials: A review”, Materials & Design, Vol. 32, No. 4, pp.1717-1732, (2011).

[31] Y. D. Ha, and F. Bobaru, “Characteristics of dynamic brittle fracture captured with peridynamics”, Engineering Fracture Mechanics, Vol. 78, No. 6, pp.1156-1168, (2011).

 

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