Numerical analysis of a phase field model for ductile fracture phenomena

被引:3
作者
Tsakmakis, Aris [1 ]
Vormwald, Michael [1 ]
机构
[1] Tech Univ Darmstadt, Mat Mech Grp, Franziska Braun Str 3, D-64287 Darmstadt, Hessen, Germany
关键词
Phase field; Plasticity; Ductile fracture mechanics; Damage mechanics; Non-conventional thermodynamics; BRITTLE-FRACTURE; GRADIENT DAMAGE; APPROXIMATION; TRIAXIALITY; DEGRADATION; FORMULATION;
D O I
10.1016/j.engfracmech.2025.110859
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In fracture mechanics, phase field theories have been introduced for the first time for brittle materials, in order to regularise the sharp crack topology. Especially, the crack surface part of the total energy functional is regularised by using a phase field variable. In the present work, a phase field model for ductile fracture in the framework of non-conventional thermodynamics is studied. In contrast to brittle fracture, the physical mechanisms for fracture are supposed to be driven by plastic deformation. The aim of the paper is to highlight, by analysing numerical examples, important features of the model that affect the predicted material responses. The analysis refers to assumptions commonly adopted in phase field theories and continuum damage mechanics and comprises the numerical robustness of the related finite element integrations.
引用
收藏
页数:12
相关论文
共 33 条
[1]   A phenomenological approach to fatigue with a variational phase-field model: The one-dimensional case [J].
Alessi, Roberto ;
Vidoli, Stefano ;
De Lorenzis, Laura .
ENGINEERING FRACTURE MECHANICS, 2018, 190 :53-73
[2]   Phase-field modeling of ductile fracture [J].
Ambati, M. ;
Gerasimov, T. ;
De Lorenzis, L. .
COMPUTATIONAL MECHANICS, 2015, 55 (05) :1017-1040
[3]   APPROXIMATION OF FUNCTIONALS DEPENDING ON JUMPS BY ELLIPTIC FUNCTIONALS VIA GAMMA-CONVERGENCE [J].
AMBROSIO, L ;
TORTORELLI, VM .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1990, 43 (08) :999-1036
[4]   Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments [J].
Amor, Hanen ;
Marigo, Jean-Jacques ;
Maurini, Corrado .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2009, 57 (08) :1209-1229
[5]  
Armstrong PJ., 1966, A mathematical representation of the multiaxial Bauschinger effect, V731
[6]   On the cut-off value of negative triaxiality for fracture [J].
Bao, YB ;
Wierzbicki, T .
ENGINEERING FRACTURE MECHANICS, 2005, 72 (07) :1049-1069
[7]   A phase-field formulation for fracture in ductile materials: Finite defonnation balance law derivation, plastic degradation, and stress triaxiality effects [J].
Borden, Michael J. ;
Hughes, Thomas J. R. ;
Landis, Chad M. ;
Anvari, Amin ;
Lee, Isaac J. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2016, 312 :130-166
[8]   A phase-field description of dynamic brittle fracture [J].
Borden, Michael J. ;
Verhoosel, Clemens V. ;
Scott, Michael A. ;
Hughes, Thomas J. R. ;
Landis, Chad M. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 217 :77-95
[9]   Numerical experiments in revisited brittle fracture [J].
Bourdin, B ;
Francfort, GA ;
Marigo, JJ .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2000, 48 (04) :797-826
[10]   The variational approach to fracture [J].
Bourdin, Blaise ;
Francfort, Gilles A. ;
Marigo, Jean-Jacques .
JOURNAL OF ELASTICITY, 2008, 91 (1-3) :5-148