Simulating curvilinear crack propagation in two dimensions with universal meshes
暂无分享,去创建一个
Ramsharan Rangarajan | Adrian J. Lew | Yongxing Shen | Michael J. Hunsweck | Maurizio M. Chiaramonte | A. Lew | Yongxing Shen | R. Rangarajan
[1] Ramsharan Rangarajan,et al. Universal meshes: A method for triangulating planar curved domains immersed in nonconforming meshes , 2014 .
[2] Wolfgang A. Wall,et al. Quadrature schemes for arbitrary convex/concave volumes and integration of weak form in enriched partition of unity methods , 2013 .
[3] T. Rabczuk,et al. Phase-field modeling of fracture in linear thin shells , 2014 .
[4] Gilles A. Francfort,et al. Revisiting brittle fracture as an energy minimization problem , 1998 .
[5] Ramsharan Rangarajan,et al. Universal Meshes: A new paradigm for computing with nonconforming triangulations , 2012, ArXiv.
[6] M. Negri. From Rate-Dependent to Rate-Independent Brittle Crack Propagation , 2010 .
[7] Mircea Grigoriu,et al. Probabilistic Fracture Mechanics: A Validation of Predictive Capability , 1990 .
[8] Antonin Chambolle,et al. When and how do cracks propagate? , 2009, Journal of the Mechanics and Physics of Solids.
[9] Wen-Hwa Chen,et al. On Three-Dimensional Fracture Mechanics Analysis by an Enriched Meshless Method , 2005 .
[10] Ramsharan Rangarajan,et al. Parameterization of planar curves immersed in triangulations with application to finite elements , 2011 .
[11] M. Negri. Convergence analysis for a smeared crack approach in brittle fracture , 2007 .
[12] Ted Belytschko,et al. A finite element method for crack growth without remeshing , 1999 .
[13] Adrian J. Lew,et al. An optimally convergent discontinuous Galerkin‐based extended finite element method for fracture mechanics , 2010 .
[14] RAMSHARAN RANGARAJAN,et al. Analysis of a Method to Parameterize Planar Curves Immersed In Triangulations , 2011, SIAM J. Numer. Anal..
[15] Michel Salaün,et al. High‐order extended finite element method for cracked domains , 2005 .
[16] J. Prévost,et al. Modeling quasi-static crack growth with the extended finite element method Part I: Computer implementation , 2003 .
[17] David Eppstein,et al. Provably Good Mesh Generation , 1994, J. Comput. Syst. Sci..
[18] J. Rice,et al. Slightly curved or kinked cracks , 1980 .
[19] Ted Belytschko,et al. Elastic crack growth in finite elements with minimal remeshing , 1999 .
[20] Alain Karma,et al. Unsteady crack motion and branching in a phase-field model of brittle fracture. , 2004, Physical Review Letters.
[21] Ercan Gürses,et al. A robust algorithm for configurational‐force‐driven brittle crack propagation with R‐adaptive mesh alignment , 2007 .
[22] A. Giacomini,et al. DISCONTINUOUS FINITE ELEMENT APPROXIMATION OF QUASISTATIC CRACK GROWTH IN NONLINEAR ELASTICITY , 2006 .
[23] J. C. Simo,et al. An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids , 1993 .
[24] Sutthisak Phongthanapanich,et al. Adaptive Delaunay triangulation with object-oriented programming for crack propagation analysis , 2004 .
[25] Fernando Fraternali,et al. Eigenfracture: An Eigendeformation Approach to Variational Fracture , 2009, Multiscale Model. Simul..
[26] Mark A Fleming,et al. Continuous meshless approximations for nonconvex bodies by diffraction and transparency , 1996 .
[27] J. Oliyer. Continuum modelling of strong discontinuities in solid mechanics using damage models , 1995 .
[28] Christian Miehe,et al. Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations , 2010 .
[29] Paul A. Wawrzynek,et al. Quasi-automatic simulation of crack propagation for 2D LEFM problems , 1996 .
[30] María Cecilia Rivara,et al. Automatic LEFM crack propagation method based on local Lepp-Delaunay mesh refinement , 2010, Adv. Eng. Softw..
[31] B. Bourdin,et al. The Variational Approach to Fracture , 2008 .
[32] Vladimir Sladek,et al. Meshless Local Petrov-Galerkin Method for Stress and Crack Analysis in 3-D Axisymmetric FGM Bodies , 2005 .
[33] Francisco Armero,et al. Finite elements with embedded strong discontinuities for the modeling of failure in solids , 2007 .
[34] Enrico Babilio,et al. Numerical solutions for crack growth based on the variational theory of fracture , 2012 .
[35] T. Belytschko,et al. Element‐free Galerkin methods , 1994 .
[36] Matteo Negri,et al. QUASI-STATIC CRACK PROPAGATION BY GRIFFITH'S CRITERION , 2008 .
[37] Adrian J. Lew,et al. Computing stress intensity factors for curvilinear cracks , 2015, 1501.03710.
[38] F. Fraternali. Free discontinuity finite element models in two-dimensions for in-plane crack problems , 2007 .
[39] Adrian J. Lew,et al. A finite element approach to the simulation of hydraulic fractures with lag , 2013 .
[40] Romesh C. Batra,et al. ANALYSIS OF ELASTODYNAMIC DEFORMATIONS NEAR A CRACK-NOTCH TIP BY THE MESHLESS LOCAL PETROV–GALERKIN (MLPG) METHOD , 2002 .
[41] Jerrold E. Marsden,et al. Variational r‐adaption in elastodynamics , 2008 .
[42] M. Ortiz,et al. FINITE-DEFORMATION IRREVERSIBLE COHESIVE ELEMENTS FOR THREE-DIMENSIONAL CRACK-PROPAGATION ANALYSIS , 1999 .
[43] Cv Clemens Verhoosel,et al. A phase-field description of dynamic brittle fracture , 2012 .
[44] S. Rahman,et al. An efficient meshless method for fracture analysis of cracks , 2000 .
[45] Matteo Negri,et al. A finite element approximation of the Griffith’s model in fracture mechanics , 2003, Numerische Mathematik.
[46] Christian Miehe,et al. A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits , 2010 .
[47] R. K. Smith,et al. Mesh Smoothing Using A Posteriori Error Estimates , 1997 .