Damage and fracture algorithm using the screened Poisson equation and local remeshing

被引:274
作者
Areias, P. [1 ,4 ]
Msekh, M. A. [3 ]
Rabczuk, T. [2 ,3 ]
机构
[1] Univ Evora, Dept Phys, Colegio Luis Antonio Verney, Rua Romao Ramalho 59, P-7002554 Evora, Portugal
[2] Duy Tan Univ, Inst Res & Dev, 3 Quang Trung, Danang, Vietnam
[3] Bauhaus Univ Weimar, Inst Struct Mech, Marienstr 15, D-99423 Weimar, Germany
[4] Inst Super Tecn, ICIST, Lisbon, Portugal
关键词
Screened Poisson equation; Crack nucleation and propagation; Local mesh refinement; Element erosion; PHASE-FIELD MODELS; CRACK-PROPAGATION; VOID NUCLEATION; FINITE; DISCONTINUITIES; SIMULATION; FAILURE; GROWTH;
D O I
10.1016/j.engfracmech.2015.10.042
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We propose a crack propagation algorithm which is independent of particular constitutive laws and specific element technology. It consists of a localization limiter in the form of the screened Poisson equation with local mesh refinement. This combination allows the capturing of strain localization with good resolution, even in the absence of a sufficiently fine initial mesh. In addition, crack paths are implicitly defined from the localized region, circumventing the need for a specific direction criterion. Observed phenomena such as multiple crack growth and shielding emerge naturally from the algorithm. In contrast with alternative regularization algorithms, curved cracks are correctly represented. A staggered scheme for standard equilibrium and screened equations is used. Element subdivision is based on edge split operations using a given constitutive quantity (either damage or void fraction). To assess the robustness and accuracy of this algorithm, we use both quasi-brittle benchmarks and ductile tests. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码:116 / 143
页数:28
相关论文
共 54 条
[1]  
Alfaiate J, 2003, COMPUTATIONAL MODELLING OF CONCRETE STRUCTURES, P33
[2]   On the use of embedded discontinuity elements with crack path continuity for mode-I and mixed-mode fracture [J].
Alfaiate, J ;
Wells, GN ;
Sluys, LJ .
ENGINEERING FRACTURE MECHANICS, 2002, 69 (06) :661-686
[3]   A review on phase-field models of brittle fracture and a new fast hybrid formulation [J].
Ambati, Marreddy ;
Gerasimov, Tymofiy ;
De Lorenzis, Laura .
COMPUTATIONAL MECHANICS, 2015, 55 (02) :383-405
[4]  
[Anonymous], 1998, Computational Inelasticity. Interdisciplinary applied mathematics
[5]  
[Anonymous], INT J NUMER METH ENG
[6]  
[Anonymous], 2007, Mathematica
[7]   Finite strain fracture of plates and shells with configurational forces and edge rotations [J].
Areias, P. ;
Rabczuk, T. .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2013, 94 (12) :1099-1122
[8]   A new semi-implicit formulation for multiple-surface flow rules in multiplicative plasticity [J].
Areias, P. ;
Dias-da-Costa, D. ;
Pires, E. B. ;
Infante Barbosa, J. .
COMPUTATIONAL MECHANICS, 2012, 49 (05) :545-564
[9]   A damage model for ductile crack initiation and propagation [J].
Areias, P. ;
Van Goethem, N. ;
Pires, E. B. .
COMPUTATIONAL MECHANICS, 2011, 47 (06) :641-656
[10]   Analysis of three-dimensional crack initiation and propagation using the extended finite element method [J].
Areias, PMA ;
Belytschko, T .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2005, 63 (05) :760-788