Abstract
Potential solutions for transversely isotropic bodies containing flat elliptical cracks deformed by the application of surface pressure and/or displacement are given. In particular, the general character of the linear elastic solution near the periphery of the crack is determined such that local stresses and displacements can be expressed independently of uncertainties of both the crack geometry and magnitude of the applied load. Hence, the near-field solution remains valid for a surface of discontinuity of arbitrary shape. The familiar stress singularity of the order r − 1 2 is retained in the theory of transverse isotropy, but the intensity and detailed structure of the stresses in the proximity of the crack border differ from those of the isotropic case. The energy release rate or the force tending to spread the crack, associated with each of the three modes of crack extension, is related to the stress-intensity factor. This result and consideration of some specific examples imply that current fracture mechanics theories may be applied directly to transversely isotropic solids in many cases.
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