WANG, S, and HARVEY, C.M., 2011. A theory of one-dimensional fracture. Composite Structures, 94 (2), pp. 758-767
A completely analytical theory is developed for the mixed mode partition of one-dimensional
fracture in laminated composite beams and plates. Two sets of orthogonal pure modes are
determined first. It is found that they are distinct from each other in Euler beam or plate theory
and coincide at the Wang-Harvey set in Timoshenko beam or plate theory. After the Wang-
Harvey set is proved to form a unique complete orthogonal pure mode basis within the contexts
of both Euler and Timoshenko beam or plate theories, it is used to partition a mixed mode.
Stealthy interactions are found between the Wang-Harvey pure mode I modes and mode II
modes in Euler beam or plate theory, which alter the partitions of a mixed mode. The finite
element method is developed to validate the analytical theories.