Numerical Investigation of Shape Domain Effect to Its Elasticity and Surface Energy Using Adaptive Finite Element Method

摘要

In engineering area, investigation of shape effect in elastic materials was very important. It can lead changing elasticity and surface energy, and also increase of crack propagation in the material. A two-dimensional mathematical model was developed to investigation of elasticity and surface energy in elastic material by Adaptive Finite Element Method. Besides that, behavior of crack propagation has observed for every those materials. The government equations were based on a phase field approach in crack propagation model that developed by Takaishi-Kimura. This research has varied four shape domains where physical properties of materials were same (Young's modulus E= 70 GPa and Poisson's ratio v= 0.334). Investigation assumptions were; (1) homogeneous and isotropic material, (2) there was not initial cracking at t= 0, (3) initial displacement was zero [u_1, u_2]= 0) at initial condition (t= 0), and (4) length of time simulation t= 5 with interval At= 0.005. Mode I/II or mixed mode crack propagation has been used for the numerical investigation. Results of this studies were very good and accurate to show changing energy and behavior of crack propagation. In the future time, this research can be developed to complex phenomena and domain. Furthermore, shape optimization can be investigation by the model.