Cumulative Damage Models for Failure with Several Accelerating Variables

In this paper, we present a method for incorporating several accelerating variables into accelerated test models for failure of materials. We propose a hyper-cuboidal volume approach as an overall accelerating measure, which enables one to extend existing models for one accelerating variable to the case of several. In particular, we extend a general cumulative damage model and the power-law Weibull model for materials failure to the several accelerating variables case. A real-data example is presented, which illustrates the improvement of the proposed methods over existing models.