PROBABILISTIC FRACTURE SIMULATION OF MATERIALS

Abstract

Fracture is one of the most commonly encountered failure modes of engineering materials and structures. Prevention of cracking-induced failure is, therefore, a major concern in engineering designs. The objective this study is the formulation and implementation of Phasefield model of fracture. Since Phase field modelling of fracture requires high computational effort in the standard Alternate minimisation approach. This drawback makes it difficult to apply uncertainty quantification on fracture analysis. So, we will be making the use of mesh-adaptivity algorithm which makes the fracture analysis approach computationally low effort. And for the uncertainty quantification approach this study makes the use of Sobol’ sensitivity indices. This approach measures the uncertainty in the output as well as the impact of input parameters on the resulting output. This study also goes through the Support Vector Regression which creates a mathematical model in relation with the input and outputs. This mathematical model used to predict the output with the parameters decreasing the computational effort required to determine the result.