三维应力函数

The Three Dimension Stress Function

用张量方法导出了圆柱坐标 ,球极坐标中三维应力函数与应力的关系式。

The three dimension stress functions and the relations between those and the stress are deduced with the method of tensor in the cylindrical and spherical coordinate system.An example of the exact solution of three dimension stress is revealed with Maxwell stress functions. Key words:three dimensions;Maxwell stress function;method of tensor China Abstract Objective To compare the effects of autologous fat, free physis, and physis with muscle flap acting as autografts in preventing bone bridge formation and minimizing deformity.Methods 32 skeletally immature rabbits were divided into 4 groups randomly, and designated A, B, C and D. An artificial defect was created in the lateral proximal left tibia physis in groups A, B, C and D. Nothing, autologous fat, free fibular physis, fibular physis with peroneus longus muscle flap were respectively inserted into the defects of group A, B, C and D. The animals were sacrificed 12 weeks after surgery. Radiographs and CT scans were taken of both legs. Sections through the proximal tibia were made for histological study.Results Only the rabbits in group D (fibular physis autografted with muscle flap group) had less limb length discrepancy and angular deformity. The difference between group D and A ( Non-graft group) was statistically significant. Conclusions Autologous fat could not prevent the formation of bone bridge completely; physis autografted with muscle flap was more liable to survive than free physis and had a clinical potential in the future; physis could, to some degree, regenerate after injury.