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中文摘要：
对板坯连铸凝固坯壳受到内外表面温差作用引起的热变形问题，从热弹性问题的功的互等定理或Betti-Maxwell互换定理和线弹性力学的叠加原理出发，分别推导出两对边简支两对边固支的矩形凝壳在钢液静压力和温度场联合作用下的挠度解，并解释了挠度解中各项的意义。实例计算了在三种拉坯速度下凝壳热变形和鼓肚变形。该研究对于求解连铸板坯在钢液静压力及内外表面温差作用下的鼓肚变形及热变形具有实际意义。
英文摘要：
Thermal deformation problem in the continuous casting of slab subjected to the thermal loading due to the temperature gradient along the solidified shell thickness is investigated. Based on the reciprocal theorem of work or Betti-Maxwell＇s reciprocal theorem and the superposition principle, the deflection expressions for a rectangular plate with two opposite edges simply supported and the other two opposite edges clamped under the action of the uniformly distributed load and non-uniform temperature field are derived respectively, and the meaning of each term in the deflection expression obtained by the reciprocal theorem of work is explained. Then the practical example is given to calculate the thermal deformation and the bulging deformation of the solidified shell under three tension speeds. Above research is useful for analyzing the bulging deformation in the continuous casting of slab under the static pressure of molten steel and the thermal loading due to the temperature gradient along the solidified shell thickness.
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