A Thermodynamically Consistent Phase Field Framework for Anisotropic Damage Propagation

被引:3
作者
Evaristo Rocha Petrini, Ana Luisa [1 ]
Boldrini, Jose Luiz [1 ]
Bittencourt, Marco Lucio [1 ]
机构
[1] Univ Estadual Campinas, Fac Engn Mecan, Dept Sistemas Integrados, BR-13083860 Campinas, SP, Brazil
来源
LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES | 2021年 / 18卷 / 01期
关键词
Phase field models; Damage; Anisotropy; Finite element method; BRITTLE-FRACTURE; FAILURE; MECHANICS; ENERGY;
D O I
10.1590/1679-78255959
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
In the present work, a thermodynamically consistent damage phase field formulation is adapted to include the effect of preferential directions in the damage evolution. A scalar damage variable is associated with each predefined preferential direction of crack propagation. Any other direction is penalized by a parameter (beta >> 1) that represents the degree of anisotropy of the fracture. When beta = 0, the isotropic case is recovered. When there is more than one preferential direction, the material is considered totally fractured when any of the damage variables reaches value one. Simulations using the developed model show that it can reproduce the expected crack propagation pattern for materials with one and two preferential directions. In particular, the model was successful in simulating a zigzag crack pattern commonly obtained in double cantilever beam of spinel MgAl2O4 crystals. The model is fully dynamic in the sense that describes the actual time evolution of the unknown variables, in particular of damage growth. Moreover, anisotropic mechanical response can be easily included in the model by modifying the elasticity tensor.
引用
收藏
页码:1 / 17
页数:17
相关论文
共 26 条
[1]   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
[2]  
[Anonymous], 2002, NONSMOOTH THERMOMECH
[3]  
BASAK A, 2018, INT J PLASTICITY, V112
[4]  
Bittencourt M.L., 2014, Computational_Solid_Mechanics:_Variational_Formulation_and_High_Order Approximation
[5]   Phase-field modeling of anisotropic brittle fracture including several damage mechanisms [J].
Bleyer, Jeremy ;
Alessi, Roberto .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 336 :213-236
[6]   A non-isothermal thermodynamically consistent phase field framework for structural damage and fatigue [J].
Boldrini, J. L. ;
Barros de Moraes, E. A. ;
Chiarelli, L. R. ;
Fumes, F. G. ;
Bittencourt, M. L. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2016, 312 :395-427
[7]  
BRUNIG M., 2004, LAT AM J SOLIDS STRU, V1, P185
[8]   FREE ENERGY OF A NONUNIFORM SYSTEM .2. THERMODYNAMIC BASIS [J].
CAHN, JW .
JOURNAL OF CHEMICAL PHYSICS, 1959, 30 (05) :1121-1124
[9]   Comparison of high order finite element and discontinuous Galerkin methods for phase field equations: Application to structural damage [J].
Chiarelli, L. R. ;
Fumes, F. G. ;
Barros de Moraes, E. A. ;
Haveroth, G. A. ;
Boldrini, J. L. ;
Bittencourt, M. L. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 74 (07) :1542-1564
[10]   AN ANISOTROPIC THEORY OF CONTINUUM DAMAGE MECHANICS FOR DUCTILE FRACTURE [J].
CHOW, CL ;
WANG, J .
ENGINEERING FRACTURE MECHANICS, 1987, 27 (05) :547-558