Abstract:The shape memory alloys (SMAs) are new materials with remarkable mechanical properties used in many structural technological areas of mechanics, aeronautics or biomechanics. The SMAs are considered to analyze the behavior of cupules of total hip prosthesis reprocessed in a block of polypropylene (PP) extruded in a solid state by using the process of extrusion cranked to equal areas (ECEA). In this work, definitions of SMAs, super elastic effect of shape memory alloys, their construction model and their applications in new technologies will be considered. A thermomechanical analysis estimation of their strain energy deformation absorption due to external loads has been studded. A predictive model of the behavior induced by simple mechanical stresses is then proposed. This behavior is broken down into two linear parts with two different elastic modules. This analytical modeling is built to be able to estimate the capacity of these alloys to absorb energy of deformation induced by a simple external loading. The Thermo-mechanical parameters of the SMA are determined experimentally. The results reveal differences in absorption of this energy level depending on the State in la when the alloy is located, i.e. martensitic or austenitic phase. The obtained results allowed us to determine the transformation temperatures of different of shape memory alloys materials in one hand, then their Young modules on the other, in order to validate the model of the constitutive behavior of stress deformation. The quantification of the capacity assessment of the SMA to absorb the energy of deformation is therefore essential in order to improve the performance of this material as well as to optimize the design of these types of smart materials.

Keywords: Shape memory allows; thermomechanics; strain energy; phase transformation; bending and internal forces.