非均布表面应力作用下薄板变形问题的求解
A SOLUTION FOR DEFLECTIONS OF THIN PLATES INDUCED BY NON UNIFORM SURFACE STRESSES
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摘要: 给出非均布表面应力作用下弹性薄板挠曲变形问题的控制方程及边界条件,通过与热应力问题进行物理比拟, 对这一问题进行了求解,并采用这一方法对实验中观测到的局部弯曲现象进行了理论解释.Abstract: The governing equations for deflections of elastic thin-plates inducedby non-uniformsurface stresses together with the boundary conditionsare presented. By a physical analogue, the solution of the problem is equivalent to that fordeflections of elastic plate induced by thermal stresses. Utilizing thismethod, the phenomena of local bending observed in experimentscan theoretically be explained.