Low cycle fatigue of aluminum foam

Exponential Model for Damage Accumulation in Closed Cell Aluminum Foams

“…For fully reversed loading, the literature is not as extensive as in the previous case; however, some interesting research of the fatigue response of closed cell foams under fully reversed cyclic loading has been conducted and published by Ingraham et al (2009) and Pinto et al (2011). In this paper, we propose a new damage accumulation model for closed cell foam subjected to fully reversed cyclic loading, this new model it is based on an exponential approach, and it will allow us to obtain directly the damage accumulation level in a closed cell aluminum foam as a function of the number of cycles applied, the total strain amplitude, and the initial value of the damage accumulation.…”

“…In this paper, we propose a new damage accumulation model for closed cell foam subjected to fully reversed cyclic loading, this new model it is based on an exponential approach, and it will allow us to obtain directly the damage accumulation level in a closed cell aluminum foam as a function of the number of cycles applied, the total strain amplitude, and the initial value of the damage accumulation. In order to achieve this goal, a fatigue analysis model and a failure criterion are necessary; the failure criterion considered and used in this research, corresponds to the criterion presented by Ingraham et al (2009) where they defined the failure in a closed cell foam when the ratio of the pre peak compressive slope and the pre peak tensile slope reach some defined value; and the model considered for the fatigue analysis is the well known statistical Weibull model proposed by Castillo et al (2001Castillo et al ( , 2006Castillo et al ( , 2008 and Pinto (2009).…”

“…The paper is structured as follows: Section 2 describes the state of the art where both; the statistical Weibull model and the failure criterion proposed by Ingraham et al (2009) are presented. Section 3 developed the exponential damage accumulation model.…”

“…The model developed need as an input, the information about the fatigue behavior of the material and the definition of the failure criterion. In this research, the failure criterion considered is the proposed by Ingraham et al (2009), and the model to analyze the fatigue behavior is the well-known statistical Weibull model because this model allow us to us directly the total strain amplitude instead of its plastic and elastic components to analyze the fatigue behavior of the material. The model proposed it is a very simple mathematical expression that will allow us to model the damage accumulation level only as a function of the total strain amplitude.…”

“…The model proposed it is a very simple mathematical expression that will allow us to model the damage accumulation level only as a function of the total strain amplitude. Finally, the proposed model has been validated through a comparison of the experimental damage accumulation curves, generated with the previous experimental data published by Ingraham et al (2009), and the curve generated by the proposed model. The results provide a very good fit between the proposed model and the experimental curves.…”