Dilation and linkage of echelon cracks

We investigate arrays of echelon cracks in rock (veins, joints, and dikes) formed by dilation. Individual cracks are interpreted as cross-sections of blade-like cracks at the leading edges of a parent fracture. Two morphological end members are distinguished as having straight or highly curved propagation paths as seen in such cross-sections. Bridges of rock between overlapping straight crack paths bend to accommodate crack dilation. Sigmoidal curvature of the bridges is achieved in a phase of increased dilation as the aspect ratio of bridges increases and their resistance to bending drops. Large bending strains within bridges may lead to cross fractures that link adjacent cracks. Good estimates of the dilation and shear displacement over arrays may be obtained directly from measurements of bridges. In contrast, the sigmoidal form of cracks of the other end member is caused by their curving propagation paths. These cracks may link as one crack tip intersects the adjacent crack wall. Some arrays of sigmoidal echelon cracks are associated with shear zones, but those analyzed here are not.