Modelling brittle crack formation at geometrical and material discontinuities using a finite fracture mechanics approach

In this study, finite fracture mechanics procedures are employed to predict crack formation at geometrical and material discontinuities in brittle elastic structures. A hybrid failure model is utilised taking into account the stress field in the undamaged structure and the energy balance for the formation of cracks. Asymptotic formulations are compared to a direct numerical implementation. Experiments carried out on notched brittle specimens exhibiting various geometries and loading-modes are analysed by means of both approaches. Additionally, free-edge effects in composite laminates are analysed. It is found that the predictions from the model agree well with experimental results.

[1]  Leon M Keer,et al.  Stress Intensity Factors Handbook, Vol. 3 , 1993 .

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

[3]  Dominique Leguillon,et al.  Failure initiation in an epoxy joint between two steel plates , 2003 .

[4]  J. Altenbach,et al.  Mechanics of Composite Structural Elements , 2004 .

[5]  Zvi Hashin,et al.  Finite thermoelastic fracture criterion with application to laminate cracking analysis , 1996 .

[6]  David Taylor,et al.  The fracture mechanics of finite crack extension , 2005 .

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

[8]  David J. Smith,et al.  A STUDY OF SUPERIMPOSED FRACTURE MODES I, II AND III ON PMMA , 1993 .

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

[10]  Y. J. Chao,et al.  Variation of fracture toughness with constraint , 2003 .

[11]  Eric Martin,et al.  Prediction of crack initiation at blunt notches and cavities – size effects , 2007 .

[12]  Dominique Leguillon,et al.  A criterion for crack nucleation at a notch in homogeneous materials , 2001 .

[13]  Eric Martin,et al.  Energetic conditions for interfacial failure in the vicinity of a matrix crack in brittle matrix composites , 2004 .

[14]  Wilfried Becker,et al.  Modelling crack initiation by means of finite fracture mechanics , 2006 .

[15]  Wilfried Becker,et al.  Numerical Analysis of Brittle Crack Initiation at Stress Concentrations in Composites , 2008 .

[16]  Vladislav Mantic,et al.  Interface crack onset at a circular cylindrical inclusion under a remote transverse tension. Application of a coupled stress and energy criterion , 2009 .

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

[18]  M. Williams,et al.  Stress Singularities Resulting From Various Boundary Conditions in Angular Corners of Plates in Extension , 1952 .

[19]  Dominique Leguillon,et al.  The role of the interbed thickness on the step-over fracture under overburden pressure , 2009 .

[20]  David Taylor,et al.  An asymptotic matching approach to shallow-notched structural elements , 2010 .

[21]  Ronald Krueger,et al.  The Virtual Crack Closure Technique : History , Approach and Applications , 2002 .

[22]  Detlef Stolten,et al.  A hybrid method to assess interface debonding by finite fracture mechanics , 2006 .

[23]  Wei Yan,et al.  Application of EMI Technique for Crack Detection in Continuous Beams Adhesively Bonded with Multiple Piezoelectric Patches , 2008 .

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

[25]  Jia Li,et al.  A criterion study for non-singular stress concentrations in brittle or quasi-brittle materials , 2006 .

[26]  Christian Mittelstedt,et al.  Free-Edge Effects in Composite Laminates , 2007 .