中文摘要：

自适应无网格法是针对有限元法无法求解或者不易求解的复杂问题,利用无网格法节点排布灵活、易于增删节点、便于自适应分析等优点发展起来的.在对自适应无网格法理论基础和发展进行总结基础上,采用基于应变能梯度的自适应无网格--有限元耦合方法,对等离子喷涂制备的HA生物涂层材料的无摩擦接触问题进行分析,对制备的两种不同厚度的生物涂层材料进行求解,分别给出了von Mises应力分布云图.结果表明,自适应无网格法能较好地应用于生物涂层接触问题中.

英文摘要：

The adaptive meshless methods, which have lots of advantages, such as does not need any mesh information, the nodes can be moved, inserted and deleted freely, suitable for adaptive analysis to achieve high computation precision with a less number of nodes and less computation time for a given error tolerance, are convenient for the complex problems which the finite element method can not or is difficult to solve. The theoretical basis and the development direction of the adaptive meshless method are discussed in detail, based on the strain-energy-gradient adaptive meshless algorithm coupling with the finite element method, the contact problem without friction of the two kind plasma spraying bioactive coatings is analyzed, the distribution of the von Mises stress is given. The result shows that the adaptive meshless model can be applied to the contact problem of the biocomposites.