Considerations on the Thermoelastic Effect in proximity of crack tips on Titanium and Aluminium: a new formulation

Abstract Thermoelastic Stress Analysis (TSA) is an experimental technique used for describing the stress state and the mechanical behaviour of materials subjected to linear-elastic deformations. The classic TSA theory consists of a simple relation between temperature and stress variations and was successfully applied in fracture mechanics for SIF and crack tip evaluation. This theory for some materials, such as titanium and aluminium, is no longer valid since the mechanical properties of the material cannot be neglected. The research framework lies in the field of the validity hypothesis of thermoelastic stress analysis, in this regard, the aim of this work is to present a new thermoelastic formulation that includes the second-order effects to investigate the thermoelastic effect in the proximity of crack tips, on Titanium and Aluminium. Moreover, error analysis has been carried out for investigating the differences between the proposed approach and the classical one.