title: Threshold intensity factors as lower boundaries for crack propagation in ceramics.
abstract: BACKGROUND
  Slow crack growth can be described in a v (crack velocity) versus KI (stress intensity factor) diagram. Slow crack growth in ceramics is attributed to corrosion assisted stress at the crack tip or at any pre-existing defect in the ceramic. The combined effect of high stresses at the crack tip and the presence of water or body fluid molecules (reducing surface energy at the crack tip) induces crack propagation, which eventually may result in fatigue. The presence of a threshold in the stress intensity factor, below which no crack propagation occurs, has been the subject of important research in the last years. The higher this threshold, the higher the reliability of the ceramic, and consequently the longer its lifetime.
  
  
  METHODS
  We utilize the Irwin K-field displacement relation to deduce crack tip stress intensity factors from the near crack tip profile. Cracks are initiated by indentation impressions. The threshold stress intensity factor is determined as the time limit of the tip stress intensity when the residual stresses have (nearly) disappeared.
  
  
  RESULTS
  We determined the threshold stress intensity factors for most of the all ceramic materials presently important for dental restorations in Europe. Of special significance is the finding that alumina ceramic has a threshold limit nearly identical with that of zirconia.
  
  
  CONCLUSIONS
  The intention of the present paper is to stress the point that the threshold stress intensity factor represents a more intrinsic property for a given ceramic material than the widely used toughness (bend strength or fracture toughness), which refers only to fast crack growth. Considering two ceramics with identical threshold limits, although with different critical stress intensity limits, means that both ceramics have identical starting points for slow crack growth. Fast catastrophic crack growth leading to spontaneous fatigue, however, is different. This growth starts later in those ceramic materials that have larger critical stress intensity factors.
authors.affiliation: Department of Prosthetic Dentistry, Section of Dental Materials, University Hospital of the University of Technology, 52074 Aachen, Germany. marx@rwth-aachen.de
authors.forename: Rudolf
authors.initials: R
authors.lastname: Marx
authors.forename: Franz
authors.initials: F
authors.lastname: Jungwirth
authors.forename: Per-Ole
authors.initials: PO
authors.lastname: Walter
mesh_terms: D002516:Ceramics; D003764:Dental Materials / Q000737:chemistry; D019544:Equipment Failure Analysis / Q000379:methods*; D006813:Humidity; D008422:Materials Testing / Q000379:methods*; D013314:Stress, Mechanical; D013499:Surface Properties; D015040:Zirconium / Q000737:chemistry
chemical_list: D003764:Dental Materials; D015040:Zirconium; C028541:zirconium oxide