建立了结晶器内连铸坯热弹塑性应力有限元数学模型。在热弹塑性本构方程中考虑了材料力学性能、屈服函数随温度和应变速率的变化。着重研究了气隙对坯壳应力分布的影响。研究结果表明：当坯壳角部有明显的气隙形成时，铸坯偏角区成为热节区。在此热节区内，坯壳受到拉应力的作用，连铸坯有产生皮下裂纹的可能 The thermo-elastic-plastic stress finite element mathematical model of continuous casting slab in mold was established. In the thermo-elasto-plastic constitutive equation, the mechanical properties of materials are considered, and the variation of yield function with temperature and strain rate is considered. Emphatically studied the influence of the air gap on the stress distribution of the shell. The results show that when the corner of the shell has obvious air gap formation, the billet corner area becomes the hot zone. In this hot zone, the shell is subjected to tensile stress, and the slab may have a subcutaneous crack