A damage mechanics based approach to structural deterioration and reliability

A thermodynamic approach for predicting fretting fatigue life

“…The second approach is by using the thermodynamics potential functions, developed by Lemaitre in 1985 [17]. More recently Bhattacharya et al [13][14][15] used a thermodynamic framework for damage accumulation. This approach eliminates the arbitrary parameters (material constants), which were used in previous approaches.…”

“…Assuming that the system evolves through a set of equilibrium states prior to localization of damage and applying the principles of thermodynamics, Bhattacharya et al [13][14][15] derived the following equation of damage for a deformable body:…”

“…w D is the derivative of free energy with D, e ij is the strain and n j is the normal in j direction. The solution of this equation for uniaxial loading yields D i , the damage in ith cycle is [13][14][15]:…”

“…Solution for the uniaxial fatigue is available based on the work of Bhattacharya et al [13][14][15] using the thermodynamic CDM approach. The same theory is applied here for the multiaxial loading as the application of two simultaneous uniaxial loadings (figure 5).…”

“…In this paper we will use the thermodynamic continuum damage mechanics (CDM) model of crack initiation by Bhattacharya et al [13][14][15] to predict fretting crack nucleation. The advantage of this approach is that this model is obtained from laws of thermodynamics and that it uses the bulk material properties to predict the crack initiation.…”