Energetical formulation of size effect law for quasi-brittle fracture

[1]  H. Neuber.  Theory of notch stresses : principles for exact calculation of strength with reference to structural form and material , 1958 .

[2]  G. I. Barenblatt.  The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks , 1959 .

[3]  D. S. Dugdale.  Yielding of steel sheets containing slits , 1960 .

[4]  G. I. Barenblatt,et al.  On the nonsteady propagation of cracks , 1962 .

[5]  V. V. Novozhilov,et al.  On a necessary and sufficient criterion for brittle strength: PMM vol. 33, n≗2, 1969, pp. 212–222 , 1969 .

[6]  E. Z. Lajtai.  Effect of tensile stress gradient on brittle fracture initiation , 1972 .

[7]  J. E. Bailey,et al.  Fracture measurements on cement paste , 1976 .

[8]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[9]  K. Kendall,et al.  Flexural strength and porosity of cements , 1981, Nature.

[10]  James C. Newman,et al.  A nonlinear fracture mechanics approach to the growth of small cracks , 1983 .

[11]  Z. Bažant.  Size Effect in Blunt Fracture: Concrete, Rock, Metal , 1984 .

[12]  Kimiro Meguro,et al.  FRACTURE ANALYSES OF CONCRETE STRUCTURES BY THE MODIFIED DISTINCT ELEMENT METHOD , 1989 .

[13]  B. J. Carter.  Size and stress gradient effects on fracture around cavities , 1992 .

[14]  Andrzej Seweryn,et al.  Brittle fracture criterion for structures with sharp notches , 1994 .

[15]  Zenon Mróz,et al.  A non-local stress failure condition for structural elements under multiaxial loading , 1995 .

[16]  Zdenek P. Bazant,et al.  Zero-Brittleness Size-Effect Method for One-Size Fracture Test of Concrete , 1996 .

[17]  Martin L. Dunn,et al.  Fracture initiation at sharp notches: Correlation using critical stress intensities , 1997 .

[18]  Andrzej Seweryn,et al.  BRITTLE FRACTURE IN PLANE ELEMENTS WITH SHARP NOTCHES UNDER MIXED-MoDE LOADING , 1997 .

[19]  Hiroshi Tada,et al.  The stress analysis of cracks handbook , 2000 .

[20]  Xiaozhi Hu,et al.  Size effect on toughness induced by crack close to free surface , 2000 .

[21]  Dominique Leguillon,et al.  Strength or toughness? A criterion for crack onset at a notch , 2002 .

[22]  Xiaozhi Hu,et al.  An asymptotic approach to size effect on fracture toughness and fracture energy of composites , 2002 .

[23]  Yuya Matsuda,et al.  Numerical simulation of rock fracture using three-dimensional extended discrete element method , 2002 .

[24]  Andrzej Seweryn,et al.  Verification of brittle fracture criteria for elements with V-shaped notches , 2002 .

[25]  A. Carpinteri,et al.  Cohesive crack model description of ductile to brittle size-scale transition: dimensional analysis vs. renormalization group theory , 2003 .

[26]  Zohar Yosibash,et al.  Crack onset at a v-notch. Influence of the notch tip radius , 2003 .

[27]  Z. Bažant.  Asymptotic Matching Analysis of Scaling of Structural Failure Due to Softening Hinges. I: Theory , 2003 .

[28]  Bhushan Lal Karihaloo,et al.  Size effect in concrete beams , 2003 .

[29]  Zohar Yosibash,et al.  Failure criteria for brittle elastic materials , 2004 .

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

[31]  Xiaozhi Hu,et al.  Scaling of quasi-brittle fracture: Boundary and size effect , 2006 .

[32]  Glaucio H. Paulino,et al.  Simulation of Crack Propagation in Asphalt Concrete Using an Intrinsic Cohesive Zone Model , 2006 .

[33]  Zohar Yosibash,et al.  A failure criterion for brittle elastic materials under mixed-mode loading , 2006 .

[34]  Alberto Carpinteri,et al.  Finite fracture mechanics: A coupled stress and energy failure criterion , 2006 .

[35]  Michael R Wisnom,et al.  An experimental investigation into the tensile strength scaling of notched composites , 2007 .

[36]  David Taylor,et al.  A finite fracture mechanics approach to structures with sharp V-notches , 2008 .

[37]  Saravanan Karuppanan,et al.  Crack tip stress intensity factors for a crack emanating from a sharp notch , 2008 .

[38]  Qiang Yu,et al.  Universal Size Effect Law and Effect of Crack Depth on Quasi-Brittle Structure Strength , 2009 .

[39]  Michael R Wisnom,et al.  Scaling Effects in Notched Composites , 2010 .

[40]  Zdeněk P. Bažant,et al.  Problems with Hu-Duan Boundary Effect Model and Its Comparison to Size-Shape Effect Law for Quasi-Brittle Fracture , 2010 .

[41]  David Taylor,et al.  The Theory of Critical Distances: A New Perspective in Fracture Mechanics , 2010 .

[42]  Pietro Cornetti,et al.  On the most dangerous V-notch , 2010 .

[43]  P. Linde,et al.  A finite fracture mechanics model for the prediction of the open-hole strength of composite laminates , 2012 .

[44]  C. Chazallon,et al.  Discrete element approach in brittle fracture mechanics , 2013 .

[45]  N. Gascons,et al.  Size Effect Law and Critical Distance Theories to Predict the Nominal Strength of Quasibrittle Structures , 2013 .

[46]  Pietro Cornetti,et al.  Mode mixity and size effect in V-notched structures , 2013 .

[47]  W. Becker,et al.  Cracks at elliptical holes: stress intensity factor and Finite Fracture Mechanics solution , 2016 .

[48]  C. Chazallon,et al.  Discrete element model for quasi‐brittle rupture under tensile and compressive loading , 2016 .

[49]  W. Becker,et al.  A review of Finite Fracture Mechanics: crack initiation at singular and non-singular stress raisers , 2016 .

[50]  C. Chazallon,et al.  Discrete element model for crack propagation in brittle materials , 2016 .