In this work, a novel and practical method is developed to depict the track slab damage and residual strain evolution, where the concrete damage constitutive relation of track slabs is considered within the train–track–bridge dynamics framework. A three-step strain method is presented to judge the load/unloading, compression/tension status of track slab elements ergodically, so that the damage condition and residual strain of track slabs can be determined. To improve the computational accuracy and efficiency, the combination of the matrix augment method and iterative solution algorithm is elucidated in detail. To validate the present model, the solutions among incremental solution, iterative solution, and non-iterative solution are firstly illustrated, and then experimental studies are performed to declare the effectiveness of this model in characterising strain/stress relation of concrete no matter in compression state or in tension state, and finally, other model results are also introduced to prove the effectiveness of this model. In the numerical studies, the damage distributions of track slabs in the longitudinal and lateral direction are presented, where the influence of track irregularities and track slab positions on the bridge is clarified, besides, the evolution of the damage and residual strain of a track slab subject to a moving train is revealed.

在这项工作中，开发了一种新颖实用的方法来描述轨道板损伤和残余应变演化，其中在列车-轨道-桥梁动力学框架内考虑了轨道板的混凝土损伤本构关系。提出了一种三步应变法对轨道板单元的加载/卸载、压缩/拉伸状态进行遍历判断，从而确定轨道板的损伤情况和残余应变。为提高计算精度和效率，详细阐述了矩阵增广法与迭代求解算法的结合。为了验证现有模型，首先说明增量解、迭代解和非迭代解之间的解，然后通过实验研究证明了该模型在表征混凝土受压或受拉状态下应变/应力关系方面的有效性，最后还引入了其他模型结果来证明该模型的有效性。在数值研究中，给出了轨道板纵向和横向的损伤分布，阐明了轨道不平整度和轨道板位置对桥梁的影响，以及轨道板损伤和残余应变的演变过程。主题是一辆行驶中的火车被揭露。