Abstract
A general method to construct path-independent integrals in the framework of plane elasticity is presented. The proposed path-independent integrals are valid not only for the case of a single straight crack, but also for the case of any number of collinear cracks. The integrands of these integrals are classified in three classes, which satisfy some well-defined restrictions. Therefore, it is possible to construct a large number of new path-independent integrals. As an illustration some of them are derived and are applied to the theoretical computation of the stress intensity factor in five particular cases of cracked elastic plates.
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