Experimental and Theoretical Assessment of Brittle Fracture in Engineering Components Containing a Sharp V-Notch

A criterion was proposed to predict brittle fracture in engineering components containing sharp V-shaped notches and subjected to mixed mode I/II loading. The criterion, called SV-MTS, was developed based on the maximum tangential stress (MTS) criterion proposed originally for analyzing crack problems. The curves which are obtained from the SV-MTS criterion could be used conveniently to predict the fracture resistance and also the notch bifurcation angle in sharp V-notched components under pure mode II and also mixed mode loading. To evaluate the validity of the proposed criterion, a set of fracture tests were conducted on a new test specimen, called sharp V-notched Brazilian disc (SV-BD), under mixed mode loading conditions. It is shown that the experimental results obtained from PMMA specimens are in very good agreement with the curves of SV-MTS criterion.

[1]  Zdeněk Knésl,et al.  A criterion of V-notch stability , 1991 .

[2]  D. A. Hills,et al.  Asymptotic characterisation of nearly-sharp notch root stress fields , 2004 .

[3]  Alberto Carpinteri,et al.  Stress-singularity and generalized fracture toughness at the vertex of re-entrant corners , 1987 .

[4]  M. Elices,et al.  Local strain energy to assess the static failure of U-notches in plates under mixed mode loading , 2007 .

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

[6]  F. J. Gómez,et al.  Fracture of components with V-shaped notches , 2003 .

[7]  Zohar Yosibash,et al.  Mixed mode failure criteria for brittle elastic V-notched structures , 2007 .

[8]  S. Cunningham,et al.  Stress intensities at notch singularities , 1997 .

[9]  A. R. Torabi,et al.  A criterion for brittle fracture in U-notched components under mixed mode loading , 2009 .

[10]  Martin L. Dunn,et al.  Fracture initiation at sharp notches under mode I, mode II, and mild mixed mode loading , 1997 .

[11]  David Taylor,et al.  Predicting the fracture strength of ceramic materials using the theory of critical distances , 2004 .

[12]  Guy Pluvinage,et al.  Stress field near a large blunted tip V-notch and application of the concept of the critical notch stress intensity factor (NSIF) to the fracture toughness of very brittle materials , 1994 .

[13]  David Taylor,et al.  The Theory of Critical Distances , 2007 .

[14]  Morten Strandberg,et al.  Fracture at V-notches with contained plasticity , 2002 .

[15]  H. Awaji,et al.  Combined Mode Fracture Toughness Measurement by the Disk Test , 1978 .

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

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

[18]  M. Elices,et al.  A fracture criterion for blunted V-notched samples , 2004 .

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

[20]  Paolo Lazzarin,et al.  A finite-volume-energy based approach to predict the static and fatigue behavior of components with sharp V-shaped notches , 2001 .

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

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

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

[24]  A. R. Torabi,et al.  Determination of mode II fracture toughness for U-shaped notches using Brazilian disc specimen , 2010 .

[25]  M. Elices,et al.  Failure criteria for linear elastic materials with U-notches , 2006 .

[26]  F. Erdogan,et al.  On the Crack Extension in Plates Under Plane Loading and Transverse Shear , 1963 .

[27]  David Taylor,et al.  The theory of critical distances to predict static strength of notched brittle components subjected to mixed-mode loading , 2008 .

[28]  Paolo Livieri,et al.  A new path independent integral applied to notched components under mode I loadings , 2003 .

[29]  A. R. Torabi,et al.  Brittle fracture in rounded-tip V-shaped notches , 2010 .

[30]  Janice M. Dulieu-Barton,et al.  Advances in Experimental Mechanics IV , 2005 .

[31]  M. Pavier,et al.  The role of T-stress in brittle fracture for linear elastic materials under mixed-mode loading , 2001 .

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

[33]  M. Elices,et al.  A fracture criterion for sharp V-notched samples , 2003 .

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

[35]  Martin L. Dunn,et al.  Fracture initiation at sharp notches in single crystal silicon , 1998 .