Multiple discrete crack initiation and propagation in Material Point Method

被引:5
作者
Adibaskoro, Tito [1 ]
Bordas, Stephane [2 ,3 ]
Solowski, Wojciech T. [1 ]
Hostikka, Simo [1 ]
机构
[1] Aalto Univ, Dept Civil Engn, Rakentajanaukio 4, Espoo 02150, Finland
[2] Univ Luxembourg, Maison Nombre, 6 Ave de la Fonte, L-4364 Esch Sur Alzette, Luxembourg
[3] China Med Univ, China Med Univ Hosp, Dept Med Res, 2 Yude Rd, Taichung 404327, Taiwan
基金
芬兰科学院;
关键词
Crack initiation; Crack propagation; Material point method; Multiple discrete crack; Rankine criterion; STRESS INTENSITY FACTORS; DYNAMIC FRACTURE; FINITE-ELEMENT; GROWTH; SIMULATIONS; INSTABILITY; PARTICLES; ALGORITHM;
D O I
10.1016/j.engfracmech.2024.109918
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Cracks in MPM (CRAMP) is one of the most prominent discrete crack simulation methods in the Material Point Method (MPM) due to its simplicity and versatility. However, CRAMP is yet to include the capability to simulate concurrent crack initiations and propagations, as well as propagation to the edge of the material domain. The method proposed in this paper enables the simulation of multiple crack paths with CRAMP via the dynamic assignment of particles to separate grids while minimizing the number of necessary grids. It also proposes methods of evaluating crack initiation and propagation via the Rankine criterion. The proposed methods are then implemented in an in-house Convected Particle Domain Interpolation (CPDI) MPM developed at Aalto University. To verify the integrity of the CPDI algorithm, our CPDI code with the proposed method implemented simulated a CPDI vortex. Furthermore, six fracture -simulation verification test cases were carried out: (1) through -crack in an infinite plate; (2) mode -I propagation; (3) initiation; (4) initiation with large deformations; (5) merging; (6) multiple initial cracks; and (7) radially -cracked thick ring. All these verification tests show successful initiation, propagation, merging, crack opening, and agreement with the results from the literature, as well as the convergence of various parameters with the expected rates.
引用
收藏
页数:36
相关论文
共 58 条
[1]  
Aimene Y.E., 2014, SOC PETROLEUM ENG SP, DOI [10.2118/167801-MS, DOI 10.2118/167801-MS]
[2]  
Bardenhagen SG, 2004, CMES-COMP MODEL ENG, V5, P477
[3]  
Belytschko T, 1999, INT J NUMER METH ENG, V45, P601, DOI 10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO
[4]  
2-S
[5]  
Benzley S. E., 1974, International Journal for Numerical Methods in Engineering, V8, P537, DOI 10.1002/nme.1620080310
[6]  
Brannon RM, 2011, Establishing credibility of particle methods through verification testing, DOI [10.1007/BF00033222, DOI 10.1007/BF00033222]
[7]   A method for multiple crack growth in brittle materials without remeshing [J].
Budyn, É ;
Zi, G ;
Moës, N ;
Belytschko, T .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2004, 61 (10) :1741-1770
[8]  
Chan S. K., 1970, Engineering Fracture Mechanics, V2, P1, DOI 10.1016/0013-7944(70)90026-3
[9]   iGIMP: An implicit generalised interpolation material point method for large deformations [J].
Charlton, T. J. ;
Coombs, W. M. ;
Augarde, C. E. .
COMPUTERS & STRUCTURES, 2017, 190 :108-125
[10]   An adaptive material point method coupled with a phase-field fracture model for brittle materials [J].
Cheon, Young-Jo ;
Kim, Hyun-Gyu .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2019, 120 (08) :987-1010