An extended twice-interpolation finite element method applied to simulate dynamic crack behaviour in matrix inclusion materials with random holes

Abstract

Matrix inclusion materials are one of the most commonly used materials in modern industry. The appearance of cracks and defects will cause stress concentration and greatly affect the durability of the structure. Defects in materials can be described as holes. Cracks which appear in the domain containing holes and hard particles have more complicated mechanical behaviours than that under the effect of dynamic loads. In this paper, the authors develop stiffness and mass matrices for elements describing cracks, holes, and hard particles in the matrix materials by extended twice-interpolation finite element method - XTFEM for dynamic problems, computing dynamic stress intensity factor over time and evaluating the impact of holes and hard particles near to cracks. The results of calculating the dynamic stress intensity factor at crack tips by XTFEM will be compared with the results published in a prestigious international scientific journal to verify its reliability.