基于改进型无网格Galerkin法研究沥青路面表面裂纹

Study on the crack of asphalt pavements surface based on the improved element-free Galerkin method

应用线弹性断裂力学理论结合改进型无网格方法研究沥青路面表面裂纹。改进型无网格法是基于一种改进的移动最小二乘(animproved moving least-squares,IMLS)近似。IMLS近似比现有的移动最小二乘(moving leas--squares,MLS)近似有更高的计算效率和精度,且不会导致系统方程产生病态。算例表明,该方法能较好地模拟裂纹扩展路径,有助于更好地了解沥青路面的开裂行为。

The paper uses the linear elastic fracture mechanics theory and improved element-free Galerkin method to study on the crack of asphalt pavements surface.The improved element-free Galerkin method bases on an improved moving least-squares（IMLS）.The IMLS approximation has greater computational efficiency and precision than the existing moving least-squares（MLS） approximation,and does not lead to an ill-conditioned system of equations.The study results indicate that this method can simulate crack propagation paths and help to understand crack behavior of asphalt pavement in a better way.