Reliability analysis considering dynamic material local deformation

Material deformation is one of the major causes of material failure. In a dynamic deformation process, local deformation-defined as the displacement of various local points on a material-essentially determines the failure. Most existing studies on material reliability are conducted based on either the failure time or the degradation data. The studies do not consider the dynamic local deformation of materials and often are not efficient enough to model the failure mechanism. In this article, we develop reliability analysis by using information contained in the dynamic local deformation of materials in a tensile process. Specifically, a new multivariate general-path model is proposed to describe the deformation process. A two-stage method is developed to estimate the model parameters and overcome the computational complexity. Based on the proposed model, reliability analyses are conducted for various cases of material deformation paths. A simulation study is implemented to verify and validate the developed methods. Physical experiments are designed and conducted to demonstrate the proposed model.