of the strengths are actually lower than the proof stress, although this occurrence
is rare. Thirdly, the proof stress cannot be removed instantaneously so that
fatigue occurs during the unloading phase. As a result, the minimum ensured
strength is a little lower than s
P
. Crack growth during unloading is minor and is
suppressed by unloading from the proof stress as quickly as possible. These three
effects have been studied in detail and reliability models have been developed.
24.7.1 Minimum Strength Design
The most common and conservative approach to reliability modeling is
known as the ‘‘minimum strength design.’’ Here, the maximum applied stress
is limited to some fraction of the minimum fiber strength, usually taken to be the
proof stress. With