It is commonly believed that the fracture toughness of a brittle material can be
characterized by a single parameter such as the stress intensity factor. In this
study, it was demonstrated that when the crack is highly constrained, the
first nonsingular opening stress term at the crack tip, in addition to the
-field
(the singular stress term), is necessary to predict fracture. Fracture experiments were
conducted using plexiglass specimens with a center crack. Relatively rigid metallic
end tabs were used to generate boundary constraints on the specimen. The level of
constraint was varied by varying the gage length between the end tabs. For a given
crack length, the fracture load increases as the gage length decreases. If the stress
intensity factor is used to determine the corresponding fracture toughness of
plexiglass, the experimental data would indicate that the fracture toughness
decreases as the gage length decreases. This is equivalent to saying that the
fracture toughness of a brittle material can be affected by boundary conditions.
It was shown that this behavior is the result of a diminishing size of the
-dominance
zone and that the stress intensity factor alone cannot fully capture the fracture force.
A new constant parameter was introduced to account for the effect of the near-tip
nonsingular stress field on fracture.