Numerical investigations on crack propagation and crack branching in brittle solids under dynamic loading using bond-particle model

[1]  F. P. Bowden,et al.  Controlled Fracture of Brittle Solids and Interruption of Electrical Current , 1967, Nature.

[2]  K. Ravi-Chandar,et al.  An experimental investigation into dynamic fracture: II. Microstructural aspects , 1984 .

[3]  K. Ravi-Chandar,et al.  An experimental investigation into dynamic fracture: III. On steady-state crack propagation and crack branching , 1984 .

[4]  Albert S. Kobayashi,et al.  Mechanics of crack curving and branching — a dynamic fracture analysis , 1985 .

[5]  Swinney,et al.  Instability in dynamic fracture. , 1991, Physical review letters.

[6]  Swinney,et al.  Instability in the propagation of fast cracks. , 1992, Physical review. B, Condensed matter.

[7]  Gross,et al.  Local crack branching as a mechanism for instability in dynamic fracture. , 1995, Physical review letters.

[8]  P. A. Cundall,et al.  Modeling notch-formation mechanisms in the URL Mine-by Test Tunnel using bonded assemblies of circular particles , 1998 .

[9]  Jay Fineberg,et al.  Confirming the continuum theory of dynamic brittle fracture for fast cracks , 1999, Nature.

[10]  Soo-Ho Chang,et al.  Measurement of rock fracture toughness under modes I and II and mixed-mode conditions by using disc-type specimens , 2002 .

[11]  G. Jefferson,et al.  The elastic response of a cohesive aggregate: a discrete element model with coupled particle interaction , 2002 .

[12]  T. Belytschko,et al.  Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment , 2003 .

[13]  Christophe L. Martin,et al.  Study of particle rearrangement during powder compaction by the Discrete Element Method , 2003 .

[14]  P. Cundall,et al.  A bonded-particle model for rock , 2004 .

[15]  Naser A. Al-Shayea,et al.  Crack propagation trajectories for rocks under mixed mode I–II fracture , 2005 .

[16]  Huajian Gao,et al.  Modern topics and challenges in dynamic fracture , 2005 .

[17]  S. Silling,et al.  A meshfree method based on the peridynamic model of solid mechanics , 2005 .

[18]  Unstable crack motion is predictable , 2005 .

[19]  Huajian Gao,et al.  Dynamical fracture instabilities due to local hyperelasticity at crack tips , 2006, Nature.

[20]  M. Ayatollahi,et al.  Mixed mode brittle fracture in PMMA—An experimental study using SCB specimens , 2006 .

[21]  Christophe L. Martin,et al.  Discrete Element Simulations of the Compaction of Aggregated Ceramic Powders , 2006 .

[22]  C. Martin,et al.  A clumped particle model for rock , 2007 .

[23]  M. Ayatollahi,et al.  On the use of Brazilian disc specimen for calculating mixed mode I–II fracture toughness of rock materials , 2008 .

[24]  T. Belytschko,et al.  A comparative study on finite element methods for dynamic fracture , 2008 .

[25]  Ted Belytschko,et al.  Cracking node method for dynamic fracture with finite elements , 2009 .

[26]  Ted Belytschko,et al.  Simulations of instability in dynamic fracture by the cracking particles method , 2009 .

[27]  Christian Miehe,et al.  A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits , 2010 .

[28]  F. Bobaru,et al.  Studies of dynamic crack propagation and crack branching with peridynamics , 2010 .

[29]  Christian Miehe,et al.  Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations , 2010 .

[30]  F. Bobaru,et al.  Characteristics of dynamic brittle fracture captured with peridynamics , 2011 .

[31]  K. Chong,et al.  Fracture toughness testing of brittle materials using semi-circular bend (SCB) specimen , 2012 .

[32]  Ignacio Iturrioz,et al.  Crack propagation in elastic solids using the truss-like discrete element method , 2012, International Journal of Fracture.

[33]  R. Dendievel,et al.  Application of the Discrete Element Method to crack propagation and crack branching in a vitreous dense biopolymer material. , 2012 .

[34]  Propagation mechanism of brittle cracks. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[35]  M.R.M. Aliha,et al.  Two-parameter fracture analysis of SCB rock specimen under mixed mode loading , 2013 .

[36]  J. Fernández-Sáez,et al.  A new 2D discrete model applied to dynamic crack propagation in brittle materials , 2014 .

[37]  Jay Fineberg,et al.  The dynamics of rapid fracture: instabilities, nonlinearities and length scales , 2013, Reports on progress in physics. Physical Society.

[38]  Zhennan Zhang,et al.  Modeling nonlinear elastic solid with correlated lattice bond cell for dynamic fracture simulation , 2014 .

[39]  J. Fineberg,et al.  Recent developments in dynamic fracture: some perspectives , 2015, International Journal of Fracture.

[40]  Ping Cao,et al.  Mechanical Behavior of Brittle Rock-Like Specimens with Pre-existing Fissures Under Uniaxial Loading: Experimental Studies and Particle Mechanics Approach , 2016, Rock Mechanics and Rock Engineering.

[41]  Qinghua Meng,et al.  Numerical Simulation of Loading Edge Cracks by Edge Impact Using the Extended Finite Element Method , 2015 .

[42]  Guanfeng Zhang,et al.  Why do cracks branch? A peridynamic investigation of dynamic brittle fracture , 2015, International Journal of Fracture.

[43]  N. M. Bunnori,et al.  Strengthening of reinforced concrete beams subjected to torsion with UHPFC composites , 2015 .

[44]  H. Afshin,et al.  Effect of mineral admixtures on the mixed-mode (I/II) fracture characterization of cement mortar: CTS, CSTBD and SCB specimens , 2015 .

[45]  C. Tang,et al.  Numerical investigation on crack branching during collision for rock-like material , 2015 .

[46]  M. Maniat,et al.  Structural health monitoring using optimising algorithms based on flexibility matrix approach and combination of natural frequencies and mode shapes , 2016 .

[47]  Mirco Zaccariotto,et al.  A coupled meshless finite point/Peridynamic method for 2D dynamic fracture analysis , 2016 .

[48]  Mirco Zaccariotto,et al.  The meshless finite point method for transient elastodynamic problems , 2017 .

[49]  J. Reddy,et al.  A discrete Lagrangian based direct approach to macroscopic modelling , 2017 .

[50]  Farshid Mossaiby,et al.  OpenCL implementation of a high performance 3D Peridynamic model on graphics accelerators , 2017, Comput. Math. Appl..

[51]  Mirco Zaccariotto,et al.  Coupling of FEM meshes with Peridynamic grids , 2018 .

[52]  Ping Cao,et al.  Failure characteristics of intermittent fissures under a compressive-shear test: Experimental and numerical analyses , 2017, Theoretical and Applied Fracture Mechanics.

[53]  Simulation of the tensile failure behaviour of transversally bedding layers using PFC2D , 2018 .

[54]  Mirco Zaccariotto,et al.  An adaptive multi-grid peridynamic method for dynamic fracture analysis , 2018, International Journal of Mechanical Sciences.

[55]  J. Reddy,et al.  Unification of local and nonlocal models within a stable integral formulation for analysis of defects , 2018, International Journal of Engineering Science.

[56]  P. Cao,et al.  Failure characteristics of jointed rock-like material containing multi-joints under a compressive-shear test: Experimental and numerical analyses , 2018, Archives of Civil and Mechanical Engineering.

[57]  Arezoo Emdadi,et al.  A modified phase-field model for quantitative simulation of crack propagation in single-phase and multi-phase materials , 2018, Engineering Fracture Mechanics.

[58]  Xiaoyi Wang,et al.  An iteration scheme for phase field model for cohesive fracture and its implementation in Abaqus , 2018, Engineering Fracture Mechanics.

[59]  Mirco Zaccariotto,et al.  Application of the peridynamic differential operator to the solution of sloshing problems in tanks , 2019, Engineering Computations.

[60]  Ping Cao,et al.  Mechanical behavior of an opening in a jointed rock-like specimen under uniaxial loading: Experimental studies and particle mechanics approach , 2018 .

[61]  Jifeng Xu,et al.  A peridynamic framework and simulation of non-Fourier and nonlocal heat conduction , 2018 .

[62]  J. Reddy,et al.  A derivative-free upscaled theory for analysis of defects , 2019, Journal of the Mechanics and Physics of Solids.

[63]  Per Isaksson,et al.  Crack dynamics and crack tip shielding in a material containing pores analysed by a phase field method , 2019, Engineering Fracture Mechanics.

[64]  Jifeng Xu,et al.  A mechanism-based spatiotemporal non-local constitutive formulation for elastodynamics of composites , 2019, Mechanics of Materials.

[65]  Ping Cao,et al.  Second‐order cone programming formulation of discontinuous deformation analysis , 2019, International Journal for Numerical Methods in Engineering.

[66]  U. Galvanetto,et al.  Fatigue degradation strategies to simulate crack propagation using peridynamic based computational methods , 2019, Latin American Journal of Solids and Structures.

[67]  Mirco Zaccariotto,et al.  A generalized finite difference method based on the Peridynamic differential operator for the solution of problems in bounded and unbounded domains , 2019, Computer Methods in Applied Mechanics and Engineering.