The 2nd International Conference on Modeling in Mechanics and Materials was held at Suzhou, China on March 29-31, 2019. I gave an oral presentation, A Micromechanics-based Phase Field Approach to Fracture, with a groupmate Wenyu Lai and my advisor Prof Yongxing Shen.
Pictures
Abstract
- Title: A MICROMECHANICS-BASD PHASE FIELD APPROACH TO FRACTURE
- Abstract: The regularized variational theory of fracture, or so called phase field approach to fracture, has gained popularity due to its ability to predict crack nucleation, propagation, and branching without extra criteria. This approach works by minimizing a total energy functional with the displacement field and phase field (0=intact material, 1=crack), and eliminates the cumbersome geometric tracking compared with traditional discrete arguments crack methods such as the extended finite element method. The homogenization method is a limit theory using asymptotic expansion and periodicity with differential equations from a mathematical point of view. The homogenization theory can be used for computing effective constitutive parameters of complex materials with a periodic microstructure. In this work, we will first give a brief introduction to the phase field approach to fracture, and then detail our formulation for the unilateral constraint based on the homogenization method and periodic micromechanics.
- Keywords: Phase field approach to fracture, Variational theory of fracture, Homogenization theory, Micromechanics