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无网格法是近年来迅速发展的一种新型数值计算方法,但目前沥青路面结构温度场和应力场的计算分析多采用有限元方法。为了将无网格法应用到该领域,基于变分原理推出了沥青路面瞬态温度场和应力场计算的无网格法公式,采用罚函数法处理本质边界条件。针对工程实例,编制了无网格法程序,建立数值计算模型并进行模拟分析。计算结果与现场实测数据和有限元分析结果吻合较好,且计算精度高于有限元方法。结果表明无网格法应用于沥青路面结构温度场和应力场的计算分析是可行的,供工程技术人员参考。
Meshless method is a new numerical method developed rapidly in recent years. However, the calculation and analysis of temperature field and stress field of asphalt pavement are mostly using finite element method. In order to apply the meshless method to this field, based on the variational principle, the meshless formula for calculating transient temperature field and stress field of asphalt pavement is introduced, and the penalty function method is used to deal with the essential boundary conditions. Aiming at the engineering example, the meshless method program was compiled, the numerical calculation model was established and the simulation analysis was carried out. The calculated results are in good agreement with the field measured data and the finite element analysis results, and the calculation accuracy is higher than the finite element method. The results show that meshless method applied to the calculation and analysis of temperature and stress field of asphalt pavement structure is feasible for engineering and technical personnel.