A failure criterion for brittle elastic materials under mixed-mode loading

The failure criterion of Leguillon at reentrant corners in brittle elastic materials (Leguillon 2002, Eur J Mech A/Solids 21: 61–72; Leguillon et al. (2003), Eur J Mech A—Solids 22(4): 509–524) validated in (Yosibash et al. 2004, Int J Fract 125(3–4): 307–333) for mode I loading is being extended to mixed mode loading and is being validated by experimental observations. We present an explicit derivation of all quantities involved in the computation of the failure criterion. The failure criterion is validated by predicting the critical load and crack initiation angle of specimens under mixed mode loading and comparison to experimental observations on PMMA (polymer) and Macor (ceramic) V-notched specimens.

[1]  M. Kanninen,et al.  Advanced Fracture Mechanics , 1986 .

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

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

[4]  Kenneth M. Liechti,et al.  COHESIVE ZONE MODELING OF CRACK NUCLEATION AT BIMATERIAL CORNERS , 2000 .

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

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

[7]  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 .

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

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

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

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

[12]  Ivo Babuška,et al.  Computation of the amplitude of stress singular terms for cracks and reentrant corners , 1988 .

[13]  Zohar Yosibash,et al.  Thermo-Mechanical Failure Criterion at the Micron Scale in Electronic Devices , 2003 .

[14]  S. Cunningham,et al.  Application of bimaterial interface corner failure mechanics to silicon/glass anodic bonds , 2002 .

[15]  E. Reedy.  Connection between interface corner and interfacial fracture analyses of an adhesively-bonded butt joint , 2000 .

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

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

[18]  M. Dunn,et al.  Small scale geometric and material features at geometric discontinuities and their role in fracture analysis , 2001 .

[19]  D. Leguillon,et al.  Finite Fracture Mechanics — Application to the Onset of a Crack at a Bimaterial Corner , 2002 .

[20]  Heribert Blum,et al.  On finite element methods for elliptic equations on domains with corners , 1982, Computing.

[21]  Theo Fett,et al.  Failure of brittle materials near stress singularities , 1996 .

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