Abstract
A framework for characterising the static and fatigue crack resistance of a fully supported beam on an elastic foundation is presented. The crack resistance is given as a function of the resisting cohesive stress and represented mathematically with a set of simple linear regression equations that can be easily integrated within a mechanistic–empirical design framework. The static crack resistance is derived using a weight function integral and reciprocal energy formulation that may be extended to more complex structural systems containing two-dimensional crack growth. Finally, a modified Paris law that utilises the crack resistance curves is used to develop a modified S–N diagram that can capture the fatigue response under various support conditions and different material characteristic lengths and structural sizes.
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