航空轮胎的研发问题是关系到我国民生经济和国防科技发展的关键技术问题. 在飞机着地和滑行时，轮胎由于发生快速大形变而产生的热量是影响飞机轮胎性能和使用寿命的主要因素. 而这方面，公开的研究工作极少，因此，本项目拟对飞机着陆时轮胎内的力学、热学演化过程的建模和数值模拟展开研究，具体内容如下：（1）结合缠结高分子复合材料的最新研究成果，在欧式空间中建立更符合轮胎材料微观分子机理的力学、热学耦合模型； （2）采用弱有限元方法等格式灵活、适用性广的数值方法为所建立的模型构造稳定高效的，且保持一定物理性质的数值格式；（3）考虑到轮胎的宏观结构更接近于“层”状结构，为得到更符合轮胎组成结构的模型，本项目拟在流形（空心环面）上对飞机着陆时轮胎内力学、热学演化过程进行建模；（4）针对所建立的流形上的模型，设计稳定高效的，且保持一定物理性质的数值计算方法.

The research and development of aircraft tires is a key technical issue related to the development of China's national economy and national defense technology. When the aircraft is landing and taxiing, the heat generated by the deformation of the tire is the main factor affecting the performance and service life of the aircraft tire. In this respect, there is very little open research work, this project intends to study the modeling and numerical simulation of the mechanical and thermal evolution processes in the tires when the aircraft is landing. The details are as follows: Firstly, combined with the latest research results of entangled polymer composites, a mechanical and thermal coupling model which is more in line with the micro-molecular mechanism of tire materials is established in Euclidean space. Then, In view of the advantages of flexible format and wide applicability of weak Galerkin finite element method. This project intends to use the weak finite element method to construct a numerical scheme which is stable and efficient and maintains certain physical properties. Further, considering that the macroscopic structure of the tire is closer to the "layer" structure, in order to obtain a model more in line with the tire composition, this project intends to model the mechanics and thermal evolution of the tire during landing on a manifold (hollow torus). Finally, for the model on the manifold, the weak Galerkin finite element method which is stable and efficient and maintains certain physical properties is designed.