中文摘要：

针对碳钢在连铸结晶器内的凝固过程，考虑铸坯和结晶器内的接触状态，利用ANSYS软件建立了完全热力耦合的三维稳态有限元模型，模拟出结晶器区域内的热和力学状态，包括铸坯应力场、气隙分布规律以及整个结晶器内钢液温度分布等。结果显示，铸坯出结晶器时坯壳外层处于压缩状态、内层处于拉伸状态，内外表面应力分别为2．79、3．11MPa，凝固前沿处应力为3MPa左右，处于材料的极限强度范围，有产生裂纹的可能。锥度结晶器有利于钢液凝固换热，采用0．7％／m的倒锥度设计后，气隙量较无锥度结晶器最多减少了42％。

英文摘要：

Based on solidification process of carbon steel in continuous casting mold and considering the contact behavior between the strands and mold, a fully thermo- mechanical coupled 3D static therrno-elastic-plastic FEM model was established using ANSYS software. The thermo and mechanical states in continuous casting mold were obtained, including temperature and stress distributions of strands, gas gap formation, and temperature field in the mold. The results show that the outer shell is compressed, and the inner shell is stretched. The stress of the out and inner shell are 3.11 MPa and 2.79 MPa, repectively. The stress of solidification interface is about 3MPa belonging to range of ultimate strength, which maybe result in cracks. The taper mold favors heat transfer. In contrast with no taper mold, the 0.7%/m taper mold can decrease the gap about 42%.