Applying Element-Free Galerkin Method to the Skeleton Simulation of Biomechanics
|Keywords||Biomechanics Element Free Galerkin Method Impact Problems Simulation Skeleton Modeling|
Biomechanics is an interdisciplinary which contains Mechanics and Biology. The objects it studied include not only Medical and body movement, but also Transportaion, aerospace and military. The traditional research methods are Clinical research method, Volunteer experiment method, Human body experiment method, Dummy experiment method, animal experiments method and numerical simulation method. The numerical simulation is one of the most widely used method among these methods as it’s low cost, easy operability and good security. The biomechanics problems often relate some features like complex models, large distortion, high speed load and large strain rate. So when use the Traditional method finite element method to deal with the biomechanics problems, these issues like difficult to build models or element distortion come up. The element free method has many advantages such as more convenient in pre and post processing, need only the information of nodes, element independence et. With these advantages, the element free method is more convenient in building, scattering and analysing complex models. These make this method particularly suitable for dealing with biomechanics models. In order to apply the element free method into biomechanics impacting of skeleton, this paper is focused on the following aspects:Firstly, The research directions and methods of the biomechanics has been systematically and comprehensive learned. By comparing the currently existing building measures of the skeleton model, a modeling method which is suitable for skeleton has been obtained. This method has some advantages such as can be widely use、high precision and easy to build models et. By this method , the models of the femur and skull have been created.Secondly, several crucial points in the basic theory of the element free galerkin method (EFG for short) have been studied through the Taylor impact problem. These pionts included: Choice of the Weight Function; Domain Integration method; Choice of the domain radius; Essential boundary condition treatment et. By studying above aspects, the theoretical foundation had been established.Finally, the EFG method had been implemented to design the femur and skull impact problems based on discussion in the former chapter. The value of the maximum stress during the impact process had been calculated, the places where the stress concentrated had been found and the stress spread process in bones had been analyzed. Compared these results with finite element method, the two method had highly consistent in accuracy. This indicated that the element free galerkin method could be used as an effective method to deal with the biomechanics impact problems of skeleton.