Anti-Plane Elasticity Problem and Mode Ⅲ Crack Problem of Cubic Quasicrystal

The fracture theory of cubic quasicrystal was developed. The exact analytic solution of a Mode Ⅲ Griffith crack in the material was obtained by using the Fourier transform and dual integral equations theory, and so the displacement and stress fields, the stress intensity factor and strain energy release rate were determined. The results show that the stress intensity factor is independent of material constants, and the strain energy release rate is dependent on all material constants. These provide important information for studying the deformation and fracture of the new solid material.

带环向切口金属杆的扭转剪切断裂

扭转圆杆的环向切口根部存在高度集中的剪切应力,Ⅲ型应力强度因子是裂纹端部应力场奇异性的度量。为探求带环向切口的受扭金属圆杆最大承载力的计算方法,通过对不同切口尺寸杆件的扭转剪切断裂实验,由各试件的预制切口尺寸和实验中测到的最大转矩分别计算相应的应力强度因子;利用非线性断裂理论推导出计算带环向切口裂纹扭转杆承载转矩的计算公式,将理论计算数值与实验结果进行比较,表明铸铁比碳钢试验结果更接近理论计算值。