Thermo-mechanical controlled cryogenic delamination process for the recovery of rigid materials contained within artifacts composed of multiple rigid material layers interspersed with materials having different thermal and elasticity characteristics and different stiffness, comprising the use of at least one system for the controlled cryogenic cooling of the elements or parts thereof, at least one selective temperature control system for high speed heating, a system for high frequency transmission of motion to produce vibrations at the first natural frequency of resonance, at least one insufflation system at controlled pressure and at least one power transmission system, at least one mechanical actuator for manipulating layers; the process being characterized by the following phases: - Temperature homogenization of all said multiple rigid material layers and of said materials having different thermal and elasticity characteristics - Swift or super swift cooling at cryogenic temperatures of the layers adjacent to the layer of the rigid material to be recovered, by means of the controlled cryogenic cooling system controlling the flow rate and pressure of a cold carrier through a fluids compressor or other suitable system; - When cryogenic temperature is stable, superimposition of thermal cycles at controlled frequency in the layer of the rigid material to be recovered, to transmit a temperature differential between the external layers maintained at cryogenic temperature and the layer to be recovered, at significantly higher temperature, to exploit the different mechanical properties of expansion at different temperatures and then produce different shear stress between the layers i.e. thermal delamination stress or τ T; - Always in condition of stable cryogenic temperature, possible simultaneous superimposition of cycles of bending stresses controlled by vibrations of the entire element or of the combination of layers at frequencies at the first frequency of resonance; this action is to produce a secondary mechanical shear stress i.e. mechanical delamination stress or τM between the layer of rigid material to be recovered and the contiguous layers, whose frequency is in phase with the thermal cycles. - Insufflation of liquid mixtures at controlled pressure and flow rate for the final delamination of the layers or full immersion of layers into a liquid or gaseous mixture; - Mechanical separation, also through the immersion in an appropriate liquid or gaseous mixture, of one or more external layers with respect to the layer of the rigid material to be recovered by means of suitable mechanical action devices. - Temperature homogenization of all said multiple rigid material layers and of said materials having different thermal and elasticity characteristics - Swift or super swift cooling at cryogenic temperatures of the layers adjacent to the layer of the rigid material to be recovered, by means of the controlled cryogenic cooling system controlling the flow rate and pressure of a cold carrier through a fluids compressor or other suitable system; - When cryogenic temperature is stable, superimposition of thermal cycles at controlled frequency in the layer of the rigid material to be recovered, to transmit a temperature differential between the external layers maintained at cryogenic temperature and the layer to be recovered, at significantly higher temperature, to exploit the different mechanical properties of expansion at different temperatures and then produce different shear stress between the layers i.e. thermal delamination stress or τ T; - Always in condition of stable cryogenic temperature, possible simultaneous superimposition of cycles of bending stresses controlled by vibrations of the entire element or of the combination of layers at frequencies at the first frequency of resonance; this action is to produce a secondary mechanical shear stress i.e. mechanical delamination stress or τM between the layer of rigid material to be recovered and the contiguous layers, whose frequency is in phase with the thermal cycles. - Insufflation of liquid mixtures at controlled pressure and flow rate for the final delamination of the layers or full immersion of layers into a liquid or gaseous mixture; - Mechanical separation, also through the immersion in an appropriate liquid or gaseous mixture, of one or more external layers with respect to the layer of the rigid material to be recovered by means of suitable mechanical action devices.