热力联合作用弹性薄圆板的弯曲与屈曲

NON LINEAR BENDING, BUCKLING AND FAILURE OF ELASTIC THIN CIRCULAR PLATES UNDER COMBINED THERMAL AND FORCE LOADING

导出了热力联合作用下弹性薄圆板的弯曲动力响应控制方程，讨论了其弯曲变形特点及影响失效的因素。分析表明在短时热能沉积作用下，热屈曲是弹性薄板失效的主要方式之一；反鼓包或反冲塞是热屈曲的后继行为；增加外载和热能沉积功率水平都将加速热屈曲的发生；材料的温度相关性与热能沉积的时空分布对薄板的力学行为都有重要影响，同为产生和影响热剪切失效（反冲塞）的重要因素。

The governing equations of non linear dynamic response of an axisymmetric elastic thin circular plate subjected to an arbitrarily transverse force and a thermal energy deposit are formulated. Deformation features of thin circular plates and the factors that affect failure are discussed by a quasi static analysis. It is shown that thermal buckling is one of the major failure modes of thin circular plates in the case of short duration thermal energy deposit. Thermal buckling always occurs before reverse bulging or reverse plugging. Similar to the increase of the transverse load, the increase of the power level of thermal energy deposit will accelerate the thermal buckling. The temperature dependence of material properties and the time space distribution of thermal energy deposit both significantly influence the mechanical response and failure of the thin circular plates.