Bridging stresses and R-curves in ceramic/metal composites

Abstract Incorporation of metal into brittle ceramics results in an increase in fracture toughness, which can lead to an increase in strength, reliability and thermal shock resistance of the composite compared to monolithic ceramics. The basic material specific property, which controls the enhancement of the mechanical properties, is the bridging stress relation of the metal reinforcements. This relation was calculated from measured profiles of loaded cracks (COD) for fiber reinforced model composites and interpenetrating network composites in the system Al 2 O 3 /Al. Results are compared with directly measured bridging stress relations for the model materials. The bridging relations are further used to model the R-curve behavior of the composites which are compared with experimentally measured ones. Limitations of the applied procedure are discussed as well as the influence of specimen geometry and flaw size.

[1]  J. Rice,et al.  Some remarks on elastic crack-tip stress fields , 1972 .

[2]  A. Carpinteri,et al.  Snap-back softening instability in high-strength concrete beams , 1989 .

[3]  J. Rödel,et al.  Reliability of structural ceramics , 1995, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[4]  A.Yu. Popov,et al.  Forced oscillations in imperfect and statically loaded shells , 1986 .

[5]  J. Rödel,et al.  composites with interpenetrating networks , 1995 .

[6]  Gerold A. Schneider,et al.  Modelling of R-curve behaviour in ceramic/metal composites , 1998 .

[7]  Brian N. Cox,et al.  Concepts for bridged cracks in fracture and fatigue , 1994 .

[8]  Y. Mai,et al.  Crack‐Interface Grain Bridging as a Fracture Resistance I, Mechanism in Ceramics: I, Experimental Study on Alumina , 1987 .

[9]  J. Rödel,et al.  Thermal residual strains and stresses in Al2O3/Al composites with interpenetrating networks , 1999 .

[10]  A. Carpinteri Cusp catastrophe interpretation of fracture instability , 1989 .

[11]  A. Evans Perspective on the Development of High‐Toughness Ceramics , 1990 .

[12]  Y. Kagawa,et al.  Toughening by continuous single fiber bridging in ceramic matrix composite , 1996 .

[13]  Alberto Carpinteri,et al.  Continuous vs discontinuous bridged-crack model for fiber-reinforced materials in flexure , 1997 .

[14]  Theo Fett,et al.  Evaluation of R-curve effects in ceramics , 1993 .

[15]  N. Claussen Microstructural design of zirconia-toughened ceramics (ZTC) , 1983 .

[16]  D. Munz,et al.  Correlation between long and short crack R-curves in alumina using the crack opening displacement and fracture mechanical weight function approach , 1996 .

[17]  A. Heuer,et al.  Transformation and Microcrack Toughening as Complementary Processes in ZrO2-Toughened Al2O3 , 1986 .

[18]  P. A. Mataga Deformation of crack-bridging ductile reinforcements in toughened brittle materials , 1989 .

[19]  D. Munz,et al.  Influence of initial crack size, specimen size and loading type on R-curves caused by bridging stresses , 1991, International Journal of Fracture.

[20]  G. Schneider,et al.  Analysis and model of the crack bridging mechanisms in a ductile fiber reinforced ceramic matrix composite , 2001 .

[21]  J. Rödel,et al.  Strength and fracture toughness of aluminum/alumina composites with interpenetrating networks , 1995 .

[22]  T. Fett Evaluation of the Bridging Relation from Crack‐Opening‐Displacement Measurements by Use of the Weight Function , 1995 .

[23]  Anthony G. Evans,et al.  REVIEW—Transformation Toughening in Ceramics: Martensitic Transformations in Crack‐Tip Stress Fields , 1980 .

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

[25]  L. Rose Kinematical Model for Stress‐Induced Transformation around Cracks , 1986 .

[26]  A. Evans,et al.  On the toughening of ceramics by strong reinforcements , 1986 .

[27]  D. Munz,et al.  Influence of crack-surface interactions on stress intensity factor in ceramics , 1990 .

[28]  Chun-Hway Hsueh,et al.  Some considerations of bridging stresses for fiber-reinforced ceramics , 1991 .

[29]  K. White,et al.  Grain Boundary Phases and Wake Zone Characterization in Monolithic Alumina , 1995 .

[30]  Brian N. Cox,et al.  Stable and unstable solutions for bridged cracks in various specimens , 1991 .

[31]  Brian N. Cox,et al.  The determination of crack bridging forces , 1991, International Journal of Fracture.

[32]  M. Ashby,et al.  Flow characteristics of highly constrained metal wires , 1989 .

[33]  F. Erdogan,et al.  Toughening of Ceramics through Crack Bridging by Ductile Particles , 1989 .

[34]  D. Munz,et al.  Evaluation of Bridging Parameters in Aluminas from R‐Curves by Use of the Fracture Mechanical Weight Function , 1995 .

[35]  J. Rödel,et al.  Effect of Microstructural Scale on Thermal Shock Resistance of Aluminum‐Reinforced Alumina , 1994 .

[36]  Zhigang Suo,et al.  Remarks on Crack-Bridging Concepts , 1992 .

[37]  M. Ashby,et al.  Toughening in brittle systems by ductile bridging ligaments , 1992 .

[38]  Theo Fett,et al.  Stress intensity factors and weight functions , 1997 .

[39]  A. Evans,et al.  Toughening in composites of Al2O3 reinforced with Al , 1989 .

[40]  D. Munz,et al.  Determination of Bridging Stresses in Reinforced Al2O3 , 1994 .

[41]  B. Cox Extrinsic factors in the mechanics of bridged cracks , 1991 .

[42]  H. Bueckner NOVEL PRINCIPLE FOR THE COMPUTATION OF STRESS INTENSITY FACTORS , 1970 .

[43]  Robert M. McMeeking,et al.  On the toughness of brittle materials reinforced with a ductile phase , 1988 .

[44]  D. Gross,et al.  Fracture behavior in metal fiber reinforced ceramics , 1997 .

[45]  R. Steinbrech,et al.  Memory effect of crack resistance during slow crack growth in notched Al2O3 bend specimens , 1982 .

[46]  B. Cox,et al.  Load ratio, notch, and scale effects for bridged cracks in fibrous composites , 1992 .