Dispersions of platelets in the nematic phase are submitted to large amplitude oscillatory shear flow and probed by high temporal resolution small angle x-ray scattering. The response displays rich dynamic and structural behavior. Under small amplitude deformations we observe an elastic response, while structurally symmetry is broken: a preferential direction of deformation is selected which induces off-plane orientation of the platelets. We associate the elastic responses with the tilting director of the platelets towards the flow direction at all strain amplitudes. At large strain amplitudes there is a yielding transition between elastic and plastic deformation, accompanied by a flipping of the director. At intermediate strain amplitudes the director has a rich dynamic behavior, illustrating the complex motion of platelets in shear flow. These observations are confirmed by steady-shear flow reversal experiments, which underline the unique character of sheared nematic platelet dispersions. DOI: 10.1103/PhysRevLett.109.246001 PACS numbers: 83.85.Hf, 83.80.Xz, 82.70.Dd Liquid crystals form a unique class of materials due to the combination of highly ordered structure with low mechanical modulus. This is most apparent for dispersions of colloidal rods, where early work of Zocher [1] and Bawden et al.[2] exemplified ordering for very low volume fractions of rods. These observations led Onsager to his seminal thermodynamic description of the relation between crowding and structure [3], used in a variety of fields. The coupling between structure and mechanical properties is rich and nonlinear, although the mechanical modulus of such colloidal dispersions can be very low. There exists a good level of understanding of the interplay between steady shear flow and the different elastic contributions of the nematic structure, as well as the complex response of the director field, which describes the average orientation of the anisotropic particles [4][5][6]. For this reason sheared nematics are benchmark systems for complex flow studies. Even so, there is a dearth of studies on the viscoelastic character of colloidal liquid crystals. Moreover, the flow behavior of the nematic phase of colloidal platelets is poorly studied, although they are the most ubiquitous colloids in nature and have many practical applications [7].In this Letter we report the link between the structural and mechanical response of nematic colloidal platelets to large amplitude oscillatory shear flow (LAOS) and steady shear flow reversals. Colloidal platelets, especially clays, often form gels at high concentrations instead of a nematic phase. Although this complicates a fundamental understanding [8], it does result in strong shear-thinning effects due to sheared-induced breakup of these gels [9]. Shear thinning of charge-stabilized systems in the isotropic phase, as studied with in situ small angle x-ray scattering (SAXS), is interpreted in terms of a shear-dependent effective volume fraction due to the aligning platelets [10] that can cause Taylor...