An investigation of intersonic fracture using a phase field model

被引:11
作者
Schlueter, Alexander [1 ,2 ]
Kuhn, Charlotte [2 ]
Mueller, Ralf [1 ]
Gross, Dietmar [3 ]
机构
[1] Univ Kaiserslautern, Inst Appl Mech, Post Box 3049, D-67653 Kaiserslautern, Germany
[2] Univ Kaiserslautern, Computat Mech, Post Box 3049, D-67653 Kaiserslautern, Germany
[3] Tech Univ, Inst Mech, Darmstadt, Germany
关键词
Intersonic fracture; Phase field; Dynamic fracture; Crack speed; BRITTLE-FRACTURE; DYNAMIC FRACTURE; CRACK;
D O I
10.1007/s00419-015-1114-4
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Under certain circumstances, cracks can grow faster than the slowest characteristic wave speed of the material. This so-called intersonic or transonic fracture phenomenon is studied in the present work by means of a phase field fracture model. The model makes use of a regularized representation of the fracture surface. This kind of models intrinsically fulfill the boundary conditions at the evolving crack surface and implicitly govern the crack evolution by a set of partial differential equations. The set includes the momentum balance as well as a phase field equation and is solved by means of a finite element scheme in this work. The simulated crack speeds agree well with experiments and molecular dynamic simulations reported in the literature.
引用
收藏
页码:321 / 333
页数:13
相关论文
共 19 条
[1]   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
[2]   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
[3]   A time-discrete model for dynamic fracture based on crack regularization [J].
Bourdin, Blaise ;
Larsen, Christopher J. ;
Richardson, Casey L. .
INTERNATIONAL JOURNAL OF FRACTURE, 2011, 168 (02) :133-143
[4]   THE NEAR-TIP FIELD AT HIGH CRACK VELOCITIES [J].
BROBERG, KB .
INTERNATIONAL JOURNAL OF FRACTURE, 1989, 39 (1-3) :1-13
[5]   Hyperelasticity governs dynamic fracture at a critical length scale [J].
Buehler, MJ ;
Abraham, FF ;
Gao, HJ .
NATURE, 2003, 426 (6963) :141-146
[6]   Revisiting brittle fracture as an energy minimization problem [J].
Francfort, GA ;
Marigo, JJ .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1998, 46 (08) :1319-1342
[7]  
Freund LB, 1990, Dynamic fracture mechanics
[8]   Continuum and atomistic studies of intersonic crack propagation [J].
Gao, HJ ;
Huang, YG ;
Abraham, FF .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2001, 49 (09) :2113-2132
[9]  
Griffith G.-A., 1921, Philos. Trans. R. Soc. London, V221, P163, DOI [10.1098/rsta.1921.0006, DOI 10.1098/RSTA.1921.0006]
[10]   A phase field model of dynamic fracture: Robust field updates for the analysis of complex crack patterns [J].
Hofacker, M. ;
Miehe, C. .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2013, 93 (03) :276-301