It is well known that the fracture strength of ceramics with small defects is lower than the strength estimated by linear fracture mechanics, based on the strength of a large defect. This phenomenon can be explained by the increase in the crack resistance with crack propagation. This R-curve behavior is caused mainly by grain bridging in the wake of the crack. Recently the grain-bridging stresses for alumina and silicon nitride have been measured experimentally. In this study, the fracture strength is estimated by numerical simulation, based on grain-bridging stresses. In the simulation, the effective stress intensity factor at the crack tip, Kup, and the effective fracture toughness at the crack tip, KuP, are used for the conditions of stable and unstable crack propagation. It is found that the fracture toughness for long cracks, Kup, depends on specimen geometries, and the maximum values of Kc approach (Kup)c as the initial crack length approaches the width of the specimen. Furthermore a convenient method to evaluate (Kup)c experimentally is discussed.
|Number of pages||8|
|Journal||Transactions of the Japan Society of Mechanical Engineers Series A|
|Publication status||Published - 1994|
All Science Journal Classification (ASJC) codes
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering