Vulnerability of damage-accumulating systems

Disastrous failures have shown that systems can be highly vulnerable. Quantified vulnerability can help designers and regulators to decide how much vulnerability is tolerable. Vulnerability of a system to a specified disturbance is defined as the ratio of the probability of failure of the disturbed system to the probability of failure of the undisturbed system. This vulnerability can be specialized to particular system types. It is adapted here to systems that are expected to deteriorate while in service due to processes such as fatigue, creep, corrosion, aging, neglect or insufficient maintenance. Application is illustrated by vulnerability to fatigue under constant and variable stress.