We have studied the shock-induced phase transition from fullerite to a dense amorphous carbon phase by tight-binding molecular dynamics. For increasing hydrostatic pressures P , the C60-cages are found to polymerise at P < 10 GPa, to break at P ∼ 40GPa and to slowly collapse further at P > 60 GPa. By contrast, in the presence of additional shear stresses, the cages are destroyed at much lower pressures (P < 30 GPa). We explain this fact in terms of a continuum model, the snapthrough instability of a spherical shell. Surprisingly, the relaxed high-density structures display no intermediate-range order. The extraordinary elastic properties of the molecular cage of C 60 have inspired many to speculate about new carbon modifications with extraordinary mechanical performance [5]. Indeed, in early experiments very hard and stiff materials were synthesised (stable under ambient conditions) by compressing fullerite under high pressure [6]. Subsequently, these phases have been characterised experimentally by determining their structural, mechanical, and optical properties [7,8,9,10,11,12,13,14,15] revealing a plethora of ordered (polymerised fullerenes) and disordered (amorphous) carbon phases (see [7] for a review).Based on electron diffraction experiments, shockcompressed fullerite [16], has been conjectured to be a new form of amorphous diamond exhibiting IRO [7]. Furthermore, it has been argued that the mechanical properties are determined by remnants of (partially) intact fullerene cages distinguishing these phases from tetrahedrally coordinated amorphous carbon (ta-C) produced by ion-beam techniques.However, up to now, conjectures concerning the structural properties are based on indirect information; neither the process of formation of such structures nor the nature of the proposed intermediate range order is understood microscopically. Pioneering molecular-dynamics (MD) simulations have shown that subjecting fullerite to high pressure and high temperatures may give rise to a dense amorphous phase [17]. However, the sample in [17] had to be compressed to very high densities (4.4 g/cm 3 at T = 2500K) corresponding to pressures exceeding 100GPa, far beyond any experimentally obtainable conditions. Empirically, the transition from fullerite to amorphous carbon occurs in the range of 10 − 30 GPa, depending on the speed of compression and on temperature (room temperature in [6] and approximately 2000K in shock experiments [7,16]). How may this contradiction be resolved? There are indications that shear stress may play a role in the destabilisation of the cages [6]. However, at present it is not known which microscopic processes cause the transition from fullerite to amorphous carbon. There is thus a pressing need for a theoretical understanding of the exact microscopic mechanisms occurring during this phase transition. To which extent is a macroscopic picture of a rapidly imploding spherical shell appropriate? Is shear important? How strong is the dependence of the final structural properties on the details of the comp...