Phase field approximation of dynamic brittle fracture
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[1] K. Ravi-Chandar,et al. An experimental investigation into dynamic fracture: I. Crack initiation and arrest , 1984 .
[2] M. Gurtin. Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance , 1996 .
[3] E. Katzav,et al. Theory of dynamic crack branching in brittle materials , 2006, cond-mat/0609104.
[4] G. Irwin. ANALYSIS OF STRESS AND STRAINS NEAR THE END OF A CRACK TRAVERSING A PLATE , 1957 .
[5] Gross,et al. Local crack branching as a mechanism for instability in dynamic fracture. , 1995, Physical review letters.
[6] Thomas Seelig,et al. On the interaction and branching of fast running cracks—a numerical investigation , 1999 .
[7] Christian Miehe,et al. A phase field model of dynamic fracture: Robust field updates for the analysis of complex crack patterns , 2013 .
[8] John W. Hutchinson,et al. Dynamic Fracture Mechanics , 1990 .
[9] Ted Belytschko,et al. A finite element method for crack growth without remeshing , 1999 .
[10] Ares J. Rosakis,et al. Reproducing the supershear portion of the 2002 Denali earthquake rupture in laboratory , 2014 .
[11] K. Ravi-Chandar,et al. An experimental investigation into dynamic fracture: IV. On the interaction of stress waves with propagating cracks , 1984 .
[12] Ronald Krueger,et al. The Virtual Crack Closure Technique : History , Approach and Applications , 2002 .
[13] Charlotte Kuhn,et al. Numerical and Analytical Investigation of a Phase Field Model for Fracture , 2013 .
[14] Vincent Hakim,et al. Laws of crack motion and phase-field models of fracture , 2008, 0806.0593.
[15] S. Das,et al. Dynamic fracture mechanics in the study of the earthquake rupturing process: theory and observation , 2003 .
[16] Christopher J. Larsen,et al. A time-discrete model for dynamic fracture based on crack regularization , 2011 .
[17] A. A. Griffith. The Phenomena of Rupture and Flow in Solids , 1921 .
[18] Christian Miehe,et al. Continuum phase field modeling of dynamic fracture: variational principles and staggered FE implementation , 2012, International Journal of Fracture.
[19] Ares J. Rosakis,et al. Intersonic shear crack growth along weak planes , 2000 .
[20] L. Ambrosio,et al. Approximation of functional depending on jumps by elliptic functional via t-convergence , 1990 .
[21] Swinney,et al. Instability in the propagation of fast cracks. , 1992, Physical review. B, Condensed matter.
[22] Jean-Jacques Marigo,et al. Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments , 2009 .
[23] J. F. Kalthoff. Modes of dynamic shear failure in solids , 2000 .
[24] Gilles A. Francfort,et al. Revisiting brittle fracture as an energy minimization problem , 1998 .
[25] Mccormick,et al. Acoustic emissions from rapidly moving cracks. , 1993, Physical review letters.
[26] K. Ravi-Chandar,et al. An experimental investigation into dynamic fracture: III. On steady-state crack propagation and crack branching , 1984 .
[27] A. Bertram,et al. Crack Propagation Toughness of Rock for the Range of Low to Very High Crack Speeds , 2003 .
[28] Cv Clemens Verhoosel,et al. A phase-field description of dynamic brittle fracture , 2012 .
[29] K. Ravi-Chandar,et al. An experimental investigation into dynamic fracture: II. Microstructural aspects , 1984 .
[30] A. Chambolle. An approximation result for special functions with bounded deformation , 2004 .
[31] D. Mumford,et al. Optimal approximations by piecewise smooth functions and associated variational problems , 1989 .
[32] B. Bourdin. Numerical implementation of the variational formulation for quasi-static brittle fracture , 2007 .
[33] Ralf Müller,et al. A continuum phase field model for fracture , 2010 .